Physics Book - User contributions [en]

Young's Modulus

2015-12-05T04:00:35Z

Jlafiandra6: /* Difficult */

This page discusses Young's Modulus and examples of how it is used.

Claimed by Jlafiandra6

==The Main Idea==

Young's Modulus is a macroscopic property of a material that measures how stretchy a solid material is. It is independent of size or weight, and it will change depending on the material.

===A Mathematical Model===

The definition of Young's Modulus can be expressed as: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math> where <math>{F}_{T}</math> is equal to the tension force, <math>A</math> is equal to the cross sectional area, <math>ΔL</math> is equal to the change in length due to the tension force, and <math>L_o</math> is equal to the initial length of the material.

===A Computational Model===

It's hard to demonstrate Young's Modulus through programming, but this photo does a great job of demonstrating the concept. A force causes a solid material to stretch by a constant certain amount. This relationship is named Young's Modulus and is independent of mass of the object, and varies based on material.
[[File:Youngs.jpeg]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

A cylinder of wood has a stress of 800 and a strain of <math>8*10^-7</math>. What is Young's modulus for wood?

First we lay out the equation for the problem:

<math>{Y = \frac{stress}{strain}}</math>

We then plug in using the numbers given to us.

<math>{Y = \frac{800}{8*10^-7}} </math>

and so Y = 10^9 N/m^2

===Middling===

A flan created by Dr. Schatz has a strawberry placed on it, stretching the flan from a length of 0.15 m to 0.2
m. The flan has a cross sectional area of .01. With the knowledge that flan has a Young’s
modulus of ~ 1.6e4 in tension, what force was used to stretch the flan?

First we would write out the equation for Youngs modulus: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math>

Next we would fill in the equation for Young's Modulus: <math>{1.6e4 = \frac{\frac{{F}_{T}}{.01}}{\frac{{.05}}{.15}}}</math>

We can then fill in every thing that we know: <math>{16000 = 300*F_T}</math>

And so,<math>{F_T}</math> is equal to 53.3!

===Difficult===

A new cylandrical flan is created by Dr. Schatz which has an orange placed on it which has a mass of .15 kg, compressing the flan a certain amount. Knowing that the initial length of the flan was .15 m and the flan has a diameter of .2 meters. With the knowledge that flan has a Young’s modulus of ~ 2e5 in tension, what length is the flan now?

First we need to write down the equation:

First we would write out the equation for Youngs modulus: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math>

Next, let's solve for the unknowns:
Cross sectional area:

<math>{A} = pi*r^2</math>
<math>{A} = pi*.1^2</math>
<math>{A} = .0314 meters^2</math>

Force of the orange:

<math>{F}_{T} = m*g</math>
<math>{F}_{T} = .15*-9.8</math>
<math>{F}_{T} = -1.47 Newtons</math>

Next we would write out the equation for Youngs modulus: <math>{2e5 = \frac{\frac{-1.47}{.0314}}{\frac{{ΔL}}{.15}}}</math>

We can solve the equation for : <math>{-7/ΔL = 200000}</math>

And so,<math>{ΔL }</math> is equal to -3.5e-5! It was compressed 3.5e-5 meters!

==Connectedness==
#Young's modulus is connected to all solid material, and it highlights the slight impression given to everything showing that things do push down ever so slightly on stuff that seems stationary.
#My major is CS, so not a ton in physics directly applies to it, but Young's modulus is guaranteed to be in every physics simulation built which attempts to simulate the building integrity and usage of materials.
#Young's modulus is used all the time in civil engineering and it is often used to help determine structural integrity of certain materials when deciding on a building.

==History==

Young's Modulus was first developed in 1727 by the famous Leonhard Euler in Switzerland, but it was further expanded upon by Italian scientist Giordano Riccati in 1782. Finally, it was given a name by the British Scientist Thomas Young who finished work on it in the 1800s. It is used in order to discover the elasticity of solid materials and shows the stress per strain of a solid material.

== See also ==
[http://www.physicsbook.gatech.edu/Leonhard_Euler Leonhard Euler]

[http://www.physicsbook.gatech.edu/Thomas_Young Thomas Young]

===Further reading===

The VERY in-depth wiki page which goes for beyond applications in physics 1.[https://en.wikipedia.org/wiki/Young%27s_modulus]

===External links===

HyperPhysics[http://hyperphysics.phy-astr.gsu.edu/hbase/permot3.html] which is a great tool for just about any entry level physics.

==References==

Image: [http://s3.amazonaws.com/answer-board-image/48bb8d83-d333-4467-bfc0-de7c7c6d1c12.jpeg]

History: [https://en.wikipedia.org/wiki/Young%27s_modulus]

[[Category:Contact Interactions]]

Young's Modulus

2015-12-05T03:58:07Z

Jlafiandra6: /* Difficult */

This page discusses Young's Modulus and examples of how it is used.

Claimed by Jlafiandra6

==The Main Idea==

Young's Modulus is a macroscopic property of a material that measures how stretchy a solid material is. It is independent of size or weight, and it will change depending on the material.

===A Mathematical Model===

The definition of Young's Modulus can be expressed as: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math> where <math>{F}_{T}</math> is equal to the tension force, <math>A</math> is equal to the cross sectional area, <math>ΔL</math> is equal to the change in length due to the tension force, and <math>L_o</math> is equal to the initial length of the material.

===A Computational Model===

It's hard to demonstrate Young's Modulus through programming, but this photo does a great job of demonstrating the concept. A force causes a solid material to stretch by a constant certain amount. This relationship is named Young's Modulus and is independent of mass of the object, and varies based on material.
[[File:Youngs.jpeg]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

A cylinder of wood has a stress of 800 and a strain of <math>8*10^-7</math>. What is Young's modulus for wood?

First we lay out the equation for the problem:

<math>{Y = \frac{stress}{strain}}</math>

We then plug in using the numbers given to us.

<math>{Y = \frac{800}{8*10^-7}} </math>

and so Y = 10^9 N/m^2

===Middling===

A flan created by Dr. Schatz has a strawberry placed on it, stretching the flan from a length of 0.15 m to 0.2
m. The flan has a cross sectional area of .01. With the knowledge that flan has a Young’s
modulus of ~ 1.6e4 in tension, what force was used to stretch the flan?

First we would write out the equation for Youngs modulus: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math>

Next we would fill in the equation for Young's Modulus: <math>{1.6e4 = \frac{\frac{{F}_{T}}{.01}}{\frac{{.05}}{.15}}}</math>

We can then fill in every thing that we know: <math>{16000 = 300*F_T}</math>

And so,<math>{F_T}</math> is equal to 53.3!

===Difficult===

A new cylandrical flan is created by Dr. Schatz which has an orange placed on it which has a mass of .15 kg, compressing the flan a certain amount. Knowing that the initial length of the flan was .15 m and the flan has a diameter of .2 meters. With the knowledge that flan has a Young’s modulus of ~ 2e5 in tension, what length is the flan now?

First we need to write down the equation:

First we would write out the equation for Youngs modulus: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math>

Next, let's solve for the unknowns:
Cross sectional area:

<math>{A} = pi*r^2</math>
<math>{A} = pi*.1^2</math>
<math>{A} = .0314 meters^2</math>

Force of the orange:

<math>{F}_{T} = m*g</math>
<math>{F}_{T} = .15*-9.8</math>
<math>{F}_{T} = -1.47 Newtons</math>

Next we would write out the equation for Youngs modulus: <math>{2e5 = \frac{\frac{-1.47}{.0314}}{\frac{{ΔL}}{.15}}}</math>

We can then fill in every thing that we know: <math>{16000 = 300*F_T}</math>

And so,<math>{F_T}</math> is equal to 53.3!

==Connectedness==
#Young's modulus is connected to all solid material, and it highlights the slight impression given to everything showing that things do push down ever so slightly on stuff that seems stationary.
#My major is CS, so not a ton in physics directly applies to it, but Young's modulus is guaranteed to be in every physics simulation built which attempts to simulate the building integrity and usage of materials.
#Young's modulus is used all the time in civil engineering and it is often used to help determine structural integrity of certain materials when deciding on a building.

==History==

Young's Modulus was first developed in 1727 by the famous Leonhard Euler in Switzerland, but it was further expanded upon by Italian scientist Giordano Riccati in 1782. Finally, it was given a name by the British Scientist Thomas Young who finished work on it in the 1800s. It is used in order to discover the elasticity of solid materials and shows the stress per strain of a solid material.

== See also ==
[http://www.physicsbook.gatech.edu/Leonhard_Euler Leonhard Euler]

[http://www.physicsbook.gatech.edu/Thomas_Young Thomas Young]

===Further reading===

The VERY in-depth wiki page which goes for beyond applications in physics 1.[https://en.wikipedia.org/wiki/Young%27s_modulus]

===External links===

HyperPhysics[http://hyperphysics.phy-astr.gsu.edu/hbase/permot3.html] which is a great tool for just about any entry level physics.

==References==

Image: [http://s3.amazonaws.com/answer-board-image/48bb8d83-d333-4467-bfc0-de7c7c6d1c12.jpeg]

History: [https://en.wikipedia.org/wiki/Young%27s_modulus]

[[Category:Contact Interactions]]

Young's Modulus

2015-12-05T03:56:37Z

Jlafiandra6: /* Difficult */

This page discusses Young's Modulus and examples of how it is used.

Claimed by Jlafiandra6

==The Main Idea==

Young's Modulus is a macroscopic property of a material that measures how stretchy a solid material is. It is independent of size or weight, and it will change depending on the material.

===A Mathematical Model===

The definition of Young's Modulus can be expressed as: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math> where <math>{F}_{T}</math> is equal to the tension force, <math>A</math> is equal to the cross sectional area, <math>ΔL</math> is equal to the change in length due to the tension force, and <math>L_o</math> is equal to the initial length of the material.

===A Computational Model===

It's hard to demonstrate Young's Modulus through programming, but this photo does a great job of demonstrating the concept. A force causes a solid material to stretch by a constant certain amount. This relationship is named Young's Modulus and is independent of mass of the object, and varies based on material.
[[File:Youngs.jpeg]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

A cylinder of wood has a stress of 800 and a strain of <math>8*10^-7</math>. What is Young's modulus for wood?

First we lay out the equation for the problem:

<math>{Y = \frac{stress}{strain}}</math>

We then plug in using the numbers given to us.

<math>{Y = \frac{800}{8*10^-7}} </math>

and so Y = 10^9 N/m^2

===Middling===

A flan created by Dr. Schatz has a strawberry placed on it, stretching the flan from a length of 0.15 m to 0.2
m. The flan has a cross sectional area of .01. With the knowledge that flan has a Young’s
modulus of ~ 1.6e4 in tension, what force was used to stretch the flan?

First we would write out the equation for Youngs modulus: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math>

Next we would fill in the equation for Young's Modulus: <math>{1.6e4 = \frac{\frac{{F}_{T}}{.01}}{\frac{{.05}}{.15}}}</math>

We can then fill in every thing that we know: <math>{16000 = 300*F_T}</math>

And so,<math>{F_T}</math> is equal to 53.3!

===Difficult===

A new cylandrical flan is created by Dr. Schatz which has an orange placed on it which has a mass of .15 kg, compressing the flan a certain amount. Knowing that the initial length of the flan was .15 m and the flan has a diameter of .2. With the knowledge that flan has a Young’s modulus of ~ 2e5 in tension, what length is the flan now?

First we need to write down the equation:

First we would write out the equation for Youngs modulus: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math>

Next, let's solve for the unknowns:
Cross sectional area:

<math>{A} = pi*r^2</math>
<math>{A} = pi*.1^2</math>
<math>{A} = .0314 m^2</math>

Force of the orange:

<math>{F}_{T} = m*g</math>
<math>{F}_{T} = .15*-9.8</math>
<math>{F}_{T} = -1.47 N</math>

Next we would write out the equation for Youngs modulus: <math>{2e5 = \frac{\frac{{F}_{T}}{.01}}{\frac{{.05}}{.15}}}</math>

We can then fill in every thing that we know: <math>{16000 = 300*F_T}</math>

And so,<math>{F_T}</math> is equal to 53.3!

==Connectedness==
#Young's modulus is connected to all solid material, and it highlights the slight impression given to everything showing that things do push down ever so slightly on stuff that seems stationary.
#My major is CS, so not a ton in physics directly applies to it, but Young's modulus is guaranteed to be in every physics simulation built which attempts to simulate the building integrity and usage of materials.
#Young's modulus is used all the time in civil engineering and it is often used to help determine structural integrity of certain materials when deciding on a building.

==History==

Young's Modulus was first developed in 1727 by the famous Leonhard Euler in Switzerland, but it was further expanded upon by Italian scientist Giordano Riccati in 1782. Finally, it was given a name by the British Scientist Thomas Young who finished work on it in the 1800s. It is used in order to discover the elasticity of solid materials and shows the stress per strain of a solid material.

== See also ==
[http://www.physicsbook.gatech.edu/Leonhard_Euler Leonhard Euler]

[http://www.physicsbook.gatech.edu/Thomas_Young Thomas Young]

===Further reading===

The VERY in-depth wiki page which goes for beyond applications in physics 1.[https://en.wikipedia.org/wiki/Young%27s_modulus]

===External links===

HyperPhysics[http://hyperphysics.phy-astr.gsu.edu/hbase/permot3.html] which is a great tool for just about any entry level physics.

==References==

Image: [http://s3.amazonaws.com/answer-board-image/48bb8d83-d333-4467-bfc0-de7c7c6d1c12.jpeg]

History: [https://en.wikipedia.org/wiki/Young%27s_modulus]

[[Category:Contact Interactions]]

Young's Modulus

2015-12-05T03:51:52Z

Jlafiandra6: /* Middling */

This page discusses Young's Modulus and examples of how it is used.

Claimed by Jlafiandra6

==The Main Idea==

Young's Modulus is a macroscopic property of a material that measures how stretchy a solid material is. It is independent of size or weight, and it will change depending on the material.

===A Mathematical Model===

The definition of Young's Modulus can be expressed as: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math> where <math>{F}_{T}</math> is equal to the tension force, <math>A</math> is equal to the cross sectional area, <math>ΔL</math> is equal to the change in length due to the tension force, and <math>L_o</math> is equal to the initial length of the material.

===A Computational Model===

It's hard to demonstrate Young's Modulus through programming, but this photo does a great job of demonstrating the concept. A force causes a solid material to stretch by a constant certain amount. This relationship is named Young's Modulus and is independent of mass of the object, and varies based on material.
[[File:Youngs.jpeg]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

A cylinder of wood has a stress of 800 and a strain of <math>8*10^-7</math>. What is Young's modulus for wood?

First we lay out the equation for the problem:

<math>{Y = \frac{stress}{strain}}</math>

We then plug in using the numbers given to us.

<math>{Y = \frac{800}{8*10^-7}} </math>

and so Y = 10^9 N/m^2

===Middling===

A flan created by Dr. Schatz has a strawberry placed on it, stretching the flan from a length of 0.15 m to 0.2
m. The flan has a cross sectional area of .01. With the knowledge that flan has a Young’s
modulus of ~ 1.6e4 in tension, what force was used to stretch the flan?

First we would write out the equation for Youngs modulus: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math>

Next we would fill in the equation for Young's Modulus: <math>{1.6e4 = \frac{\frac{{F}_{T}}{.01}}{\frac{{.05}}{.15}}}</math>

We can then fill in every thing that we know: <math>{16000 = 300*F_T}</math>

And so,<math>{F_T}</math> is equal to 53.3!

===Difficult===

A new cylandrical flan is created by Dr. Schatz which has an orange placed on it, compressing the flan from a length of 0.15 m to 0.13 m.
The flan has a diameter of .2. With the knowledge that flan has a Young’s modulus of ~ 2e5 in tension, what force was used to stretch the flan?

First we need to write down the equation:

==Connectedness==
#Young's modulus is connected to all solid material, and it highlights the slight impression given to everything showing that things do push down ever so slightly on stuff that seems stationary.
#My major is CS, so not a ton in physics directly applies to it, but Young's modulus is guaranteed to be in every physics simulation built which attempts to simulate the building integrity and usage of materials.
#Young's modulus is used all the time in civil engineering and it is often used to help determine structural integrity of certain materials when deciding on a building.

==History==

Young's Modulus was first developed in 1727 by the famous Leonhard Euler in Switzerland, but it was further expanded upon by Italian scientist Giordano Riccati in 1782. Finally, it was given a name by the British Scientist Thomas Young who finished work on it in the 1800s. It is used in order to discover the elasticity of solid materials and shows the stress per strain of a solid material.

== See also ==
[http://www.physicsbook.gatech.edu/Leonhard_Euler Leonhard Euler]

[http://www.physicsbook.gatech.edu/Thomas_Young Thomas Young]

===Further reading===

The VERY in-depth wiki page which goes for beyond applications in physics 1.[https://en.wikipedia.org/wiki/Young%27s_modulus]

===External links===

HyperPhysics[http://hyperphysics.phy-astr.gsu.edu/hbase/permot3.html] which is a great tool for just about any entry level physics.

==References==

Image: [http://s3.amazonaws.com/answer-board-image/48bb8d83-d333-4467-bfc0-de7c7c6d1c12.jpeg]

History: [https://en.wikipedia.org/wiki/Young%27s_modulus]

[[Category:Contact Interactions]]

Young's Modulus

2015-12-05T03:51:24Z

Jlafiandra6: /* Difficult */

This page discusses Young's Modulus and examples of how it is used.

Claimed by Jlafiandra6

==The Main Idea==

Young's Modulus is a macroscopic property of a material that measures how stretchy a solid material is. It is independent of size or weight, and it will change depending on the material.

===A Mathematical Model===

The definition of Young's Modulus can be expressed as: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math> where <math>{F}_{T}</math> is equal to the tension force, <math>A</math> is equal to the cross sectional area, <math>ΔL</math> is equal to the change in length due to the tension force, and <math>L_o</math> is equal to the initial length of the material.

===A Computational Model===

It's hard to demonstrate Young's Modulus through programming, but this photo does a great job of demonstrating the concept. A force causes a solid material to stretch by a constant certain amount. This relationship is named Young's Modulus and is independent of mass of the object, and varies based on material.
[[File:Youngs.jpeg]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

A cylinder of wood has a stress of 800 and a strain of <math>8*10^-7</math>. What is Young's modulus for wood?

First we lay out the equation for the problem:

<math>{Y = \frac{stress}{strain}}</math>

We then plug in using the numbers given to us.

<math>{Y = \frac{800}{8*10^-7}} </math>

and so Y = 10^9 N/m^2

===Middling===

A flan created by Dr. Schatz has a strawberry placed on it, stretching the flan from a length of 0.15 m to 0.2
m. The flan has a cross sectional area of .01. With the knowledge that flan has a Young’s
modulus of ~ 1.6e4 in tension, what force was used to stretch the flan?

First we would write out the equation for Youngs modulus: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math>

First we would write out the equation for Youngs modulus: <math>{1.6e4 = \frac{\frac{{F}_{T}}{.01}}{\frac{{.05}}{.15}}}</math>

We can then fill in every thing that we know: <math>{16000 = 300*F_T}</math>

And so,<math>{F_T}</math> is equal to 53.3!

===Difficult===

A new cylandrical flan is created by Dr. Schatz which has an orange placed on it, compressing the flan from a length of 0.15 m to 0.13 m.
The flan has a diameter of .2. With the knowledge that flan has a Young’s modulus of ~ 2e5 in tension, what force was used to stretch the flan?

First we need to write down the equation:

==Connectedness==
#Young's modulus is connected to all solid material, and it highlights the slight impression given to everything showing that things do push down ever so slightly on stuff that seems stationary.
#My major is CS, so not a ton in physics directly applies to it, but Young's modulus is guaranteed to be in every physics simulation built which attempts to simulate the building integrity and usage of materials.
#Young's modulus is used all the time in civil engineering and it is often used to help determine structural integrity of certain materials when deciding on a building.

==History==

Young's Modulus was first developed in 1727 by the famous Leonhard Euler in Switzerland, but it was further expanded upon by Italian scientist Giordano Riccati in 1782. Finally, it was given a name by the British Scientist Thomas Young who finished work on it in the 1800s. It is used in order to discover the elasticity of solid materials and shows the stress per strain of a solid material.

== See also ==
[http://www.physicsbook.gatech.edu/Leonhard_Euler Leonhard Euler]

[http://www.physicsbook.gatech.edu/Thomas_Young Thomas Young]

===Further reading===

The VERY in-depth wiki page which goes for beyond applications in physics 1.[https://en.wikipedia.org/wiki/Young%27s_modulus]

===External links===

HyperPhysics[http://hyperphysics.phy-astr.gsu.edu/hbase/permot3.html] which is a great tool for just about any entry level physics.

==References==

Image: [http://s3.amazonaws.com/answer-board-image/48bb8d83-d333-4467-bfc0-de7c7c6d1c12.jpeg]

History: [https://en.wikipedia.org/wiki/Young%27s_modulus]

[[Category:Contact Interactions]]

Young's Modulus

2015-12-05T03:49:08Z

Jlafiandra6: /* A Computational Model */

This page discusses Young's Modulus and examples of how it is used.

Claimed by Jlafiandra6

==The Main Idea==

Young's Modulus is a macroscopic property of a material that measures how stretchy a solid material is. It is independent of size or weight, and it will change depending on the material.

===A Mathematical Model===

The definition of Young's Modulus can be expressed as: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math> where <math>{F}_{T}</math> is equal to the tension force, <math>A</math> is equal to the cross sectional area, <math>ΔL</math> is equal to the change in length due to the tension force, and <math>L_o</math> is equal to the initial length of the material.

===A Computational Model===

It's hard to demonstrate Young's Modulus through programming, but this photo does a great job of demonstrating the concept. A force causes a solid material to stretch by a constant certain amount. This relationship is named Young's Modulus and is independent of mass of the object, and varies based on material.
[[File:Youngs.jpeg]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

A cylinder of wood has a stress of 800 and a strain of <math>8*10^-7</math>. What is Young's modulus for wood?

First we lay out the equation for the problem:

<math>{Y = \frac{stress}{strain}}</math>

We then plug in using the numbers given to us.

<math>{Y = \frac{800}{8*10^-7}} </math>

and so Y = 10^9 N/m^2

===Middling===

A flan created by Dr. Schatz has a strawberry placed on it, stretching the flan from a length of 0.15 m to 0.2
m. The flan has a cross sectional area of .01. With the knowledge that flan has a Young’s
modulus of ~ 1.6e4 in tension, what force was used to stretch the flan?

First we would write out the equation for Youngs modulus: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math>

First we would write out the equation for Youngs modulus: <math>{1.6e4 = \frac{\frac{{F}_{T}}{.01}}{\frac{{.05}}{.15}}}</math>

We can then fill in every thing that we know: <math>{16000 = 300*F_T}</math>

And so,<math>{F_T}</math> is equal to 53.3!

===Difficult===

==Connectedness==
#Young's modulus is connected to all solid material, and it highlights the slight impression given to everything showing that things do push down ever so slightly on stuff that seems stationary.
#My major is CS, so not a ton in physics directly applies to it, but Young's modulus is guaranteed to be in every physics simulation built which attempts to simulate the building integrity and usage of materials.
#Young's modulus is used all the time in civil engineering and it is often used to help determine structural integrity of certain materials when deciding on a building.

==History==

Young's Modulus was first developed in 1727 by the famous Leonhard Euler in Switzerland, but it was further expanded upon by Italian scientist Giordano Riccati in 1782. Finally, it was given a name by the British Scientist Thomas Young who finished work on it in the 1800s. It is used in order to discover the elasticity of solid materials and shows the stress per strain of a solid material.

== See also ==
[http://www.physicsbook.gatech.edu/Leonhard_Euler Leonhard Euler]

[http://www.physicsbook.gatech.edu/Thomas_Young Thomas Young]

===Further reading===

The VERY in-depth wiki page which goes for beyond applications in physics 1.[https://en.wikipedia.org/wiki/Young%27s_modulus]

===External links===

HyperPhysics[http://hyperphysics.phy-astr.gsu.edu/hbase/permot3.html] which is a great tool for just about any entry level physics.

==References==

Image: [http://s3.amazonaws.com/answer-board-image/48bb8d83-d333-4467-bfc0-de7c7c6d1c12.jpeg]

History: [https://en.wikipedia.org/wiki/Young%27s_modulus]

[[Category:Contact Interactions]]

Young's Modulus

2015-12-05T03:47:32Z

Jlafiandra6: /* A Computational Model */

This page discusses Young's Modulus and examples of how it is used.

Claimed by Jlafiandra6

==The Main Idea==

Young's Modulus is a macroscopic property of a material that measures how stretchy a solid material is. It is independent of size or weight, and it will change depending on the material.

===A Mathematical Model===

The definition of Young's Modulus can be expressed as: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math> where <math>{F}_{T}</math> is equal to the tension force, <math>A</math> is equal to the cross sectional area, <math>ΔL</math> is equal to the change in length due to the tension force, and <math>L_o</math> is equal to the initial length of the material.

===A Computational Model===

It's hard to demonstrate Young's Modulus through programming, but this photo does a great job of demonstrating the concept.
[[File:Youngs.jpeg]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

A cylinder of wood has a stress of 800 and a strain of <math>8*10^-7</math>. What is Young's modulus for wood?

First we lay out the equation for the problem:

<math>{Y = \frac{stress}{strain}}</math>

We then plug in using the numbers given to us.

<math>{Y = \frac{800}{8*10^-7}} </math>

and so Y = 10^9 N/m^2

===Middling===

A flan created by Dr. Schatz has a strawberry placed on it, stretching the flan from a length of 0.15 m to 0.2
m. The flan has a cross sectional area of .01. With the knowledge that flan has a Young’s
modulus of ~ 1.6e4 in tension, what force was used to stretch the flan?

First we would write out the equation for Youngs modulus: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math>

First we would write out the equation for Youngs modulus: <math>{1.6e4 = \frac{\frac{{F}_{T}}{.01}}{\frac{{.05}}{.15}}}</math>

We can then fill in every thing that we know: <math>{16000 = 300*F_T}</math>

And so,<math>{F_T}</math> is equal to 53.3!

===Difficult===

==Connectedness==
#Young's modulus is connected to all solid material, and it highlights the slight impression given to everything showing that things do push down ever so slightly on stuff that seems stationary.
#My major is CS, so not a ton in physics directly applies to it, but Young's modulus is guaranteed to be in every physics simulation built which attempts to simulate the building integrity and usage of materials.
#Young's modulus is used all the time in civil engineering and it is often used to help determine structural integrity of certain materials when deciding on a building.

==History==

Young's Modulus was first developed in 1727 by the famous Leonhard Euler in Switzerland, but it was further expanded upon by Italian scientist Giordano Riccati in 1782. Finally, it was given a name by the British Scientist Thomas Young who finished work on it in the 1800s. It is used in order to discover the elasticity of solid materials and shows the stress per strain of a solid material.

== See also ==
[http://www.physicsbook.gatech.edu/Leonhard_Euler Leonhard Euler]

[http://www.physicsbook.gatech.edu/Thomas_Young Thomas Young]

===Further reading===

The VERY in-depth wiki page which goes for beyond applications in physics 1.[https://en.wikipedia.org/wiki/Young%27s_modulus]

===External links===

HyperPhysics[http://hyperphysics.phy-astr.gsu.edu/hbase/permot3.html] which is a great tool for just about any entry level physics.

==References==

Image: [http://s3.amazonaws.com/answer-board-image/48bb8d83-d333-4467-bfc0-de7c7c6d1c12.jpeg]

History: [https://en.wikipedia.org/wiki/Young%27s_modulus]

[[Category:Contact Interactions]]

Young's Modulus

2015-12-05T03:44:39Z

Jlafiandra6: /* Further reading */

This page discusses Young's Modulus and examples of how it is used.

Claimed by Jlafiandra6

==The Main Idea==

Young's Modulus is a macroscopic property of a material that measures how stretchy a solid material is. It is independent of size or weight, and it will change depending on the material.

===A Mathematical Model===

The definition of Young's Modulus can be expressed as: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math> where <math>{F}_{T}</math> is equal to the tension force, <math>A</math> is equal to the cross sectional area, <math>ΔL</math> is equal to the change in length due to the tension force, and <math>L_o</math> is equal to the initial length of the material.

===A Computational Model===

[[File:Youngs.jpeg]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

A cylinder of wood has a stress of 800 and a strain of <math>8*10^-7</math>. What is Young's modulus for wood?

First we lay out the equation for the problem:

<math>{Y = \frac{stress}{strain}}</math>

We then plug in using the numbers given to us.

<math>{Y = \frac{800}{8*10^-7}} </math>

and so Y = 10^9 N/m^2

===Middling===

A flan created by Dr. Schatz has a strawberry placed on it, stretching the flan from a length of 0.15 m to 0.2
m. The flan has a cross sectional area of .01. With the knowledge that flan has a Young’s
modulus of ~ 1.6e4 in tension, what force was used to stretch the flan?

First we would write out the equation for Youngs modulus: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math>

First we would write out the equation for Youngs modulus: <math>{1.6e4 = \frac{\frac{{F}_{T}}{.01}}{\frac{{.05}}{.15}}}</math>

We can then fill in every thing that we know: <math>{16000 = 300*F_T}</math>

And so,<math>{F_T}</math> is equal to 53.3!

===Difficult===

==Connectedness==
#Young's modulus is connected to all solid material, and it highlights the slight impression given to everything showing that things do push down ever so slightly on stuff that seems stationary.
#My major is CS, so not a ton in physics directly applies to it, but Young's modulus is guaranteed to be in every physics simulation built which attempts to simulate the building integrity and usage of materials.
#Young's modulus is used all the time in civil engineering and it is often used to help determine structural integrity of certain materials when deciding on a building.

==History==

Young's Modulus was first developed in 1727 by the famous Leonhard Euler in Switzerland, but it was further expanded upon by Italian scientist Giordano Riccati in 1782. Finally, it was given a name by the British Scientist Thomas Young who finished work on it in the 1800s. It is used in order to discover the elasticity of solid materials and shows the stress per strain of a solid material.

== See also ==
[http://www.physicsbook.gatech.edu/Leonhard_Euler Leonhard Euler]

[http://www.physicsbook.gatech.edu/Thomas_Young Thomas Young]

===Further reading===

The VERY in-depth wiki page which goes for beyond applications in physics 1.[https://en.wikipedia.org/wiki/Young%27s_modulus]

===External links===

HyperPhysics[http://hyperphysics.phy-astr.gsu.edu/hbase/permot3.html] which is a great tool for just about any entry level physics.

==References==

Image: [http://s3.amazonaws.com/answer-board-image/48bb8d83-d333-4467-bfc0-de7c7c6d1c12.jpeg]

History: [https://en.wikipedia.org/wiki/Young%27s_modulus]

[[Category:Contact Interactions]]

Young's Modulus

2015-12-05T03:43:39Z

Jlafiandra6: /* References */

This page discusses Young's Modulus and examples of how it is used.

Claimed by Jlafiandra6

==The Main Idea==

Young's Modulus is a macroscopic property of a material that measures how stretchy a solid material is. It is independent of size or weight, and it will change depending on the material.

===A Mathematical Model===

The definition of Young's Modulus can be expressed as: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math> where <math>{F}_{T}</math> is equal to the tension force, <math>A</math> is equal to the cross sectional area, <math>ΔL</math> is equal to the change in length due to the tension force, and <math>L_o</math> is equal to the initial length of the material.

===A Computational Model===

[[File:Youngs.jpeg]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

A cylinder of wood has a stress of 800 and a strain of <math>8*10^-7</math>. What is Young's modulus for wood?

First we lay out the equation for the problem:

<math>{Y = \frac{stress}{strain}}</math>

We then plug in using the numbers given to us.

<math>{Y = \frac{800}{8*10^-7}} </math>

and so Y = 10^9 N/m^2

===Middling===

A flan created by Dr. Schatz has a strawberry placed on it, stretching the flan from a length of 0.15 m to 0.2
m. The flan has a cross sectional area of .01. With the knowledge that flan has a Young’s
modulus of ~ 1.6e4 in tension, what force was used to stretch the flan?

First we would write out the equation for Youngs modulus: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math>

First we would write out the equation for Youngs modulus: <math>{1.6e4 = \frac{\frac{{F}_{T}}{.01}}{\frac{{.05}}{.15}}}</math>

We can then fill in every thing that we know: <math>{16000 = 300*F_T}</math>

And so,<math>{F_T}</math> is equal to 53.3!

===Difficult===

==Connectedness==
#Young's modulus is connected to all solid material, and it highlights the slight impression given to everything showing that things do push down ever so slightly on stuff that seems stationary.
#My major is CS, so not a ton in physics directly applies to it, but Young's modulus is guaranteed to be in every physics simulation built which attempts to simulate the building integrity and usage of materials.
#Young's modulus is used all the time in civil engineering and it is often used to help determine structural integrity of certain materials when deciding on a building.

==History==

Young's Modulus was first developed in 1727 by the famous Leonhard Euler in Switzerland, but it was further expanded upon by Italian scientist Giordano Riccati in 1782. Finally, it was given a name by the British Scientist Thomas Young who finished work on it in the 1800s. It is used in order to discover the elasticity of solid materials and shows the stress per strain of a solid material.

== See also ==
[http://www.physicsbook.gatech.edu/Leonhard_Euler Leonhard Euler]

[http://www.physicsbook.gatech.edu/Thomas_Young Thomas Young]

===Further reading===

Books, Articles or other print media on this topic

===External links===

HyperPhysics[http://hyperphysics.phy-astr.gsu.edu/hbase/permot3.html] which is a great tool for just about any entry level physics.

==References==

Image: [http://s3.amazonaws.com/answer-board-image/48bb8d83-d333-4467-bfc0-de7c7c6d1c12.jpeg]

History: [https://en.wikipedia.org/wiki/Young%27s_modulus]

[[Category:Contact Interactions]]

Young's Modulus

2015-12-05T03:43:13Z

Jlafiandra6: /* External links */

This page discusses Young's Modulus and examples of how it is used.

Claimed by Jlafiandra6

==The Main Idea==

Young's Modulus is a macroscopic property of a material that measures how stretchy a solid material is. It is independent of size or weight, and it will change depending on the material.

===A Mathematical Model===

The definition of Young's Modulus can be expressed as: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math> where <math>{F}_{T}</math> is equal to the tension force, <math>A</math> is equal to the cross sectional area, <math>ΔL</math> is equal to the change in length due to the tension force, and <math>L_o</math> is equal to the initial length of the material.

===A Computational Model===

[[File:Youngs.jpeg]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

A cylinder of wood has a stress of 800 and a strain of <math>8*10^-7</math>. What is Young's modulus for wood?

First we lay out the equation for the problem:

<math>{Y = \frac{stress}{strain}}</math>

We then plug in using the numbers given to us.

<math>{Y = \frac{800}{8*10^-7}} </math>

and so Y = 10^9 N/m^2

===Middling===

A flan created by Dr. Schatz has a strawberry placed on it, stretching the flan from a length of 0.15 m to 0.2
m. The flan has a cross sectional area of .01. With the knowledge that flan has a Young’s
modulus of ~ 1.6e4 in tension, what force was used to stretch the flan?

First we would write out the equation for Youngs modulus: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math>

First we would write out the equation for Youngs modulus: <math>{1.6e4 = \frac{\frac{{F}_{T}}{.01}}{\frac{{.05}}{.15}}}</math>

We can then fill in every thing that we know: <math>{16000 = 300*F_T}</math>

And so,<math>{F_T}</math> is equal to 53.3!

===Difficult===

==Connectedness==
#Young's modulus is connected to all solid material, and it highlights the slight impression given to everything showing that things do push down ever so slightly on stuff that seems stationary.
#My major is CS, so not a ton in physics directly applies to it, but Young's modulus is guaranteed to be in every physics simulation built which attempts to simulate the building integrity and usage of materials.
#Young's modulus is used all the time in civil engineering and it is often used to help determine structural integrity of certain materials when deciding on a building.

==History==

Young's Modulus was first developed in 1727 by the famous Leonhard Euler in Switzerland, but it was further expanded upon by Italian scientist Giordano Riccati in 1782. Finally, it was given a name by the British Scientist Thomas Young who finished work on it in the 1800s. It is used in order to discover the elasticity of solid materials and shows the stress per strain of a solid material.

== See also ==
[http://www.physicsbook.gatech.edu/Leonhard_Euler Leonhard Euler]

[http://www.physicsbook.gatech.edu/Thomas_Young Thomas Young]

===Further reading===

Books, Articles or other print media on this topic

===External links===

HyperPhysics[http://hyperphysics.phy-astr.gsu.edu/hbase/permot3.html] which is a great tool for just about any entry level physics.

==References==

Image: http://s3.amazonaws.com/answer-board-image/48bb8d83-d333-4467-bfc0-de7c7c6d1c12.jpeg
History: https://en.wikipedia.org/wiki/Young%27s_modulus

[[Category:Contact Interactions]]

Young's Modulus

2015-12-05T03:42:59Z

Jlafiandra6: /* External links */

This page discusses Young's Modulus and examples of how it is used.

Claimed by Jlafiandra6

==The Main Idea==

Young's Modulus is a macroscopic property of a material that measures how stretchy a solid material is. It is independent of size or weight, and it will change depending on the material.

===A Mathematical Model===

The definition of Young's Modulus can be expressed as: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math> where <math>{F}_{T}</math> is equal to the tension force, <math>A</math> is equal to the cross sectional area, <math>ΔL</math> is equal to the change in length due to the tension force, and <math>L_o</math> is equal to the initial length of the material.

===A Computational Model===

[[File:Youngs.jpeg]]

==Examples==

Be sure to show all steps in your solution and include diagrams whenever possible

===Simple===

A cylinder of wood has a stress of 800 and a strain of <math>8*10^-7</math>. What is Young's modulus for wood?

First we lay out the equation for the problem:

<math>{Y = \frac{stress}{strain}}</math>

We then plug in using the numbers given to us.

<math>{Y = \frac{800}{8*10^-7}} </math>

and so Y = 10^9 N/m^2

===Middling===

A flan created by Dr. Schatz has a strawberry placed on it, stretching the flan from a length of 0.15 m to 0.2
m. The flan has a cross sectional area of .01. With the knowledge that flan has a Young’s
modulus of ~ 1.6e4 in tension, what force was used to stretch the flan?

First we would write out the equation for Youngs modulus: <math>{Y = \frac{stress}{strain}} = \frac{\frac{{F}_{T}}{A}}{\frac{{ΔL}}{L_o}}</math>

First we would write out the equation for Youngs modulus: <math>{1.6e4 = \frac{\frac{{F}_{T}}{.01}}{\frac{{.05}}{.15}}}</math>

We can then fill in every thing that we know: <math>{16000 = 300*F_T}</math>

And so,<math>{F_T}</math> is equal to 53.3!

===Difficult===

==Connectedness==
#Young's modulus is connected to all solid material, and it highlights the slight impression given to everything showing that things do push down ever so slightly on stuff that seems stationary.
#My major is CS, so not a ton in physics directly applies to it, but Young's modulus is guaranteed to be in every physics simulation built which attempts to simulate the building integrity and usage of materials.
#Young's modulus is used all the time in civil engineering and it is often used to help determine structural integrity of certain materials when deciding on a building.

==History==

Young's Modulus was first developed in 1727 by the famous Leonhard Euler in Switzerland, but it was further expanded upon by Italian scientist Giordano Riccati in 1782. Finally, it was given a name by the British Scientist Thomas Young who finished work on it in the 1800s. It is used in order to discover the elasticity of solid materials and shows the stress per strain of a solid material.

== See also ==
[http://www.physicsbook.gatech.edu/Leonhard_Euler Leonhard Euler]

[http://www.physicsbook.gatech.edu/Thomas_Young Thomas Young]

===Further reading===

Books, Articles or other print media on this topic

===External links===

[http://hyperphysics.phy-astr.gsu.edu/hbase/permot3.html] which is a great tool for just about any entry level physics.

==References==

Image: http://s3.amazonaws.com/answer-board-image/48bb8d83-d333-4467-bfc0-de7c7c6d1c12.jpeg
History: https://en.wikipedia.org/wiki/Young%27s_modulus

[[Category:Contact Interactions]]

Young's Modulus

2015-12-05T03:42:00Z

Jlafiandra6: /* References */

Young's Modulus

2015-12-05T03:41:35Z

Jlafiandra6: /* References */

Young's Modulus

2015-12-05T03:40:48Z

Jlafiandra6: /* References */

Young's Modulus

2015-12-05T03:40:08Z

Jlafiandra6: /* References */

Young's Modulus

2015-12-05T03:39:07Z

Jlafiandra6: /* Examples */

Young's Modulus

2015-12-05T03:38:54Z

Jlafiandra6: /* Simple */

Young's Modulus

2015-12-05T03:38:35Z

Jlafiandra6: /* Simple */

Young's Modulus

2015-12-05T03:37:07Z

Jlafiandra6: /* Simple */

Young's Modulus

2015-12-05T03:34:46Z

Jlafiandra6: /* Simple */

Young's Modulus

2015-12-05T03:33:44Z

Jlafiandra6: /* Middling */

Young's Modulus

2015-12-05T03:33:35Z

Jlafiandra6: /* Simple */

Young's Modulus

2015-12-04T18:08:54Z

Jlafiandra6: /* Simple */

Young's Modulus

2015-12-04T18:08:38Z

Jlafiandra6: /* Examples */

Young's Modulus

2015-12-04T18:05:56Z

Jlafiandra6: /* Simple */

Young's Modulus

2015-12-04T18:05:26Z

Jlafiandra6: /* A Mathematical Model */

Young's Modulus

2015-12-04T18:05:11Z

Jlafiandra6: /* A Mathematical Model */

Young's Modulus

2015-12-04T18:02:39Z

Jlafiandra6: /* Examples */

Young's Modulus

2015-12-04T18:02:08Z

Jlafiandra6: /* Simple */

Young's Modulus

2015-12-04T18:01:57Z

Jlafiandra6: /* Simple */

Young's Modulus

2015-12-04T17:58:01Z

Jlafiandra6: /* Simple */

Young's Modulus

2015-12-04T17:57:37Z

Jlafiandra6: /* Simple */

Young's Modulus

2015-12-04T17:56:59Z

Jlafiandra6: /* Simple */

Young's Modulus

2015-12-04T17:56:31Z

Jlafiandra6: /* Simple */

Young's Modulus

2015-12-04T17:54:53Z

Jlafiandra6: /* Simple */

Young's Modulus

2015-12-04T17:51:48Z

Jlafiandra6: /* See also */

Young's Modulus

2015-12-04T17:51:40Z

Jlafiandra6: /* See also */

Young's Modulus

2015-12-04T17:51:00Z

Jlafiandra6: /* See also */

Young's Modulus

2015-12-04T17:47:31Z

Jlafiandra6: /* Connectedness */

Young's Modulus

2015-12-04T17:37:06Z

Jlafiandra6:

Young's Modulus

2015-12-04T17:35:51Z

Jlafiandra6: /* Connectedness */

Young's Modulus

2015-12-04T17:35:33Z

Jlafiandra6: /* History */

Young's Modulus

2015-10-30T14:07:04Z

Jlafiandra6: /* A Computational Model */

File:Youngs.jpeg

2015-10-30T14:04:55Z

Jlafiandra6:

Young's Modulus

2015-10-30T14:04:35Z

Jlafiandra6: /* A Computational Model */

Young's Modulus

2015-10-30T13:53:28Z

Jlafiandra6: /* A Mathematical Model */

Young's Modulus

2015-10-30T13:49:52Z

Jlafiandra6: /* A Mathematical Model */

Young's Modulus

2015-10-30T13:49:17Z

Jlafiandra6: /* A Mathematical Model */

Young's Modulus

2015-10-30T13:48:56Z

Jlafiandra6: /* A Mathematical Model */

Young's Modulus

2015-10-30T13:48:09Z

Jlafiandra6: /* A Mathematical Model */