Physics Book - User contributions [en]

Rotational Angular Momentum

2015-12-06T04:23:03Z

Btrugman:

==Main Idea==

Angular momentum is a measure of rotational momentum, and total angular momentum can be defined as the sum of translational angular momentum and rotational angular momentum. This page covers rotational angular momentum or the angular momentum relative to a center of mass. More specifically, rotational angular momentum can be defined as components of a system that rotate all around its center of mass with the same angular velocity, and it can be used to demonstrate motion such as Earth's revolution.

===Mathematical Model===
There are two equations that can be used to describe rotational angular momentum. The first one is a generalized form that can be described as the sum of cross products of distance and momentum.

[[File:rotationalangularmomentum.png]]

The next equation summarizes rotational angular momentum as the product of inertia and angular velocity. (The units of rotational angular momentum are kg*m^2/s.

[[File:rotationalang.jpg]]

To use the above equation, the following equations may be needed. The first equation is used to calculate inertia. Inertia can be defined as the tendency to resist changes in their state of motion. (The units of inertia are kg*m^2.)

[[File:variousinertia.jpg]]

The next equation angular velocity which is the rate of change of angular position of a rotating object. (The units of angular velocity are radians per second).

[[File:Equationangvelpng.png]]

==Examples==

Listed below are examples of rotational angular momentum problems.

===Simple===
Below is a conceptual rotational angular momentum problem.

[[File:ramsample3.png]]
[[File:ramsample4.png]]

===Middling===
These rotational angular momentum problems use both the inertia and angular velocity equations.

Example 1

[[File:ramsample.png]]

Example 2

[[File:ramsample2.png]]
===Difficult===
Example 1

[[File:ramsample6.png]]
[[File:ramsample5.png]]
[[File:ramsample7.png]]
[[File:ramsample8.png]]

Example 2

[[File:ramsample9.png]]
[[File:ramsample10.png]]
[[File:ramsample11.png]]
[[File:ramsample12.png]]

==Connectedness==
Angular momentum can be applied to every day life. Examples include the earth rotating on its axis, a figure skater, a football spinning as it's being thrown, or even a firing bullet.
[[File:skaterang.png]]

==History==

The idea of rotational angular momentum came from Johannes Kepler, a German scientist and astronomer who lived in the late 1500's through the mid 1600's. Kepler believed that planets orbited in an ellipse, but he also needed a rule to describe the change of velocity over time. He discovered a law of areas. This means that as planets orbit the sun, they sweep out in equal areas over equal amounts of time. However, Isaac Newton, a physicist and mathematician who came after Kepler, realized that the area law was part of a larger theory of motion.

Newton's second law particularly covers angular momentum. The second law states that the acceleration is dependent on the net force upon the object and the mass of the object. The vector sum of all torques acting on a particle is equal to the time rate
of change of the angular momentum of that particle.

== See also ==

===Further reading===
Matter and Interactions by Ruth W. Chabay and Bruce A. Sherwood

Elementary Theory of Angular Momentum by M.E. Rose

Angular Momentum in Quantum Mechanics by A.R. Redmonds

===External links===
http://hyperphysics.phy-astr.gsu.edu/hbase/amom.html
https://www.youtube.com/watch?v=MULe4xv3lVk

==References==

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://physics.ucf.edu/~roldan/classes/phy2048-ch10_new.pdf

http://www.physicsclassroom.com/mmedia/circmot/ksl.cfm

http://farside.ph.utexas.edu/teaching/301/lectures/node122.html

https://www.crashwhite.com/apphysics/materials/practicetests/practice_test-6-rotation-angular_momentum.pdf

http://www.cordonline.net/cci_pic_pdfs/Chap7-2PT.pdf

[[Category:Angular Momentum]]

Rotational Angular Momentum

2015-12-06T04:21:38Z

Btrugman: /* References */

==Main Idea==

Angular momentum is a measure of rotational momentum, and total angular momentum can be defined as the sum of translational angular momentum and rotational angular momentum. This page covers rotational angular momentum or the angular momentum relative to a center of mass. More specifically, rotational angular momentum can be defined as components of a system that rotate all around its center of mass with the same angular velocity, and it can be used to demonstrate motion such as Earth's revolution.

===Mathematical Model===
There are two equations that can be used to describe rotational angular momentum. The first one is a generalized form that can be described as the sum of cross products of distance and momentum.

[[File:rotationalangularmomentum.png]]

The next equation summarizes rotational angular momentum as the product of inertia and angular velocity. (The units of rotational angular momentum are kg*m^2/s.

[[File:rotationalang.jpg]]

To use the above equation, the following equations may be needed. The first equation is used to calculate inertia. Inertia can be defined as the tendency to resist changes in their state of motion. (The units of inertia are kg*m^2.)

[[File:variousinertia.jpg]]

The next equation angular velocity which is the rate of change of angular position of a rotating object. (The units of angular velocity are radians per second).

[[File:Equationangvelpng.png]]

==Examples==

Listed below are examples of rotational angular momentum problems.

===Simple===
Below is a conceptual rotational angular momentum problem.

[[File:ramsample3.png]]
[[File:ramsample4.png]]

===Middling===
These rotational angular momentum problems use both the inertia and angular velocity equations.

Example 1

[[File:ramsample.png]]

Example 2

[[File:ramsample2.png]]
===Difficult===
Example 1

[[File:ramsample6.png]]
[[File:ramsample5.png]]
[[File:ramsample7.png]]
[[File:ramsample8.png]]

Example 2

[[File:ramsample9.png]]
[[File:ramsample10.png]]
[[File:ramsample11.png]]
[[File:ramsample12.png]]

==Connectedness==
Angular momentum can be applied to every day life. Examples include the earth rotating on its axis, a figure skater, a football spinning as it's being thrown, or even a firing bullet.
[[File:skaterang.png]]

==History==

The idea of rotational angular momentum came from Johannes Kepler, a German scientist and astronomer who lived in the late 1500's through the mid 1600's. Kepler believed that planets orbited in an ellipse, but he also needed a rule to describe the change of velocity over time. He discovered a law of areas. This means that as planets orbit the sun, they sweep out in equal areas over equal amounts of time. However, Isaac Newton, a physicist and mathematician who came after Kepler, realized that the area law was part of a larger theory of motion.

Newton's second law particularly covers angular momentum. The second law states that the acceleration is dependent on the net force upon the object and the mass of the object. The vector sum of all torques acting on a particle is equal to the time rate
of change of the angular momentum of that particle.

== See also ==

===Further reading===
Matter and Interactions by Ruth W. Chabay and Bruce A. Sherwood
Elementary Theory of Angular Momentum by M.E. Rose
Angular Momentum in Quantum Mechanics by A.R. Redmonds

===External links===
http://hyperphysics.phy-astr.gsu.edu/hbase/amom.html

==References==

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law

https://physics.ucf.edu/~roldan/classes/phy2048-ch10_new.pdf

http://www.physicsclassroom.com/mmedia/circmot/ksl.cfm

http://farside.ph.utexas.edu/teaching/301/lectures/node122.html

https://www.crashwhite.com/apphysics/materials/practicetests/practice_test-6-rotation-angular_momentum.pdf

http://www.cordonline.net/cci_pic_pdfs/Chap7-2PT.pdf

[[Category:Angular Momentum]]

Rotational Angular Momentum

2015-12-06T04:21:10Z

Btrugman:

==Main Idea==

Angular momentum is a measure of rotational momentum, and total angular momentum can be defined as the sum of translational angular momentum and rotational angular momentum. This page covers rotational angular momentum or the angular momentum relative to a center of mass. More specifically, rotational angular momentum can be defined as components of a system that rotate all around its center of mass with the same angular velocity, and it can be used to demonstrate motion such as Earth's revolution.

===Mathematical Model===
There are two equations that can be used to describe rotational angular momentum. The first one is a generalized form that can be described as the sum of cross products of distance and momentum.

[[File:rotationalangularmomentum.png]]

The next equation summarizes rotational angular momentum as the product of inertia and angular velocity. (The units of rotational angular momentum are kg*m^2/s.

[[File:rotationalang.jpg]]

To use the above equation, the following equations may be needed. The first equation is used to calculate inertia. Inertia can be defined as the tendency to resist changes in their state of motion. (The units of inertia are kg*m^2.)

[[File:variousinertia.jpg]]

The next equation angular velocity which is the rate of change of angular position of a rotating object. (The units of angular velocity are radians per second).

[[File:Equationangvelpng.png]]

==Examples==

Listed below are examples of rotational angular momentum problems.

===Simple===
Below is a conceptual rotational angular momentum problem.

[[File:ramsample3.png]]
[[File:ramsample4.png]]

===Middling===
These rotational angular momentum problems use both the inertia and angular velocity equations.

Example 1

[[File:ramsample.png]]

Example 2

[[File:ramsample2.png]]
===Difficult===
Example 1

[[File:ramsample6.png]]
[[File:ramsample5.png]]
[[File:ramsample7.png]]
[[File:ramsample8.png]]

Example 2

[[File:ramsample9.png]]
[[File:ramsample10.png]]
[[File:ramsample11.png]]
[[File:ramsample12.png]]

==Connectedness==
Angular momentum can be applied to every day life. Examples include the earth rotating on its axis, a figure skater, a football spinning as it's being thrown, or even a firing bullet.
[[File:skaterang.png]]

==History==

The idea of rotational angular momentum came from Johannes Kepler, a German scientist and astronomer who lived in the late 1500's through the mid 1600's. Kepler believed that planets orbited in an ellipse, but he also needed a rule to describe the change of velocity over time. He discovered a law of areas. This means that as planets orbit the sun, they sweep out in equal areas over equal amounts of time. However, Isaac Newton, a physicist and mathematician who came after Kepler, realized that the area law was part of a larger theory of motion.

Newton's second law particularly covers angular momentum. The second law states that the acceleration is dependent on the net force upon the object and the mass of the object. The vector sum of all torques acting on a particle is equal to the time rate
of change of the angular momentum of that particle.

== See also ==

===Further reading===
Matter and Interactions by Ruth W. Chabay and Bruce A. Sherwood
Elementary Theory of Angular Momentum by M.E. Rose
Angular Momentum in Quantum Mechanics by A.R. Redmonds

===External links===
http://hyperphysics.phy-astr.gsu.edu/hbase/amom.html

==References==

http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law
https://physics.ucf.edu/~roldan/classes/phy2048-ch10_new.pdf
http://www.physicsclassroom.com/mmedia/circmot/ksl.cfm
http://farside.ph.utexas.edu/teaching/301/lectures/node122.html
https://www.crashwhite.com/apphysics/materials/practicetests/practice_test-6-rotation-angular_momentum.pdf
http://www.cordonline.net/cci_pic_pdfs/Chap7-2PT.pdf
[[Category:Angular Momentum]]

Rotational Angular Momentum

2015-12-06T04:18:54Z

Btrugman:

==Main Idea==

Angular momentum is a measure of rotational momentum, and total angular momentum can be defined as the sum of translational angular momentum and rotational angular momentum. This page covers rotational angular momentum or the angular momentum relative to a center of mass. More specifically, rotational angular momentum can be defined as components of a system that rotate all around its center of mass with the same angular velocity, and it can be used to demonstrate motion such as Earth's revolution.

===Mathematical Model===
There are two equations that can be used to describe rotational angular momentum. The first one is a generalized form that can be described as the sum of cross products of distance and momentum.

[[File:rotationalangularmomentum.png]]

The next equation summarizes rotational angular momentum as the product of inertia and angular velocity. (The units of rotational angular momentum are kg*m^2/s.

[[File:rotationalang.jpg]]

To use the above equation, the following equations may be needed. The first equation is used to calculate inertia. Inertia can be defined as the tendency to resist changes in their state of motion. (The units of inertia are kg*m^2.)

[[File:variousinertia.jpg]]

The next equation angular velocity which is the rate of change of angular position of a rotating object. (The units of angular velocity are radians per second).

[[File:Equationangvelpng.png]]

==Examples==

Listed below are examples of rotational angular momentum problems.

===Simple===
Below is a conceptual rotational angular momentum problem.

[[File:ramsample3.png]]
[[File:ramsample4.png]]

===Middling===
These rotational angular momentum problems use both the inertia and angular velocity equations.

Example 1

[[File:ramsample.png]]

Example 2

[[File:ramsample2.png]]
===Difficult===
Example 1

[[File:ramsample6.png]]
[[File:ramsample5.png]]
[[File:ramsample7.png]]
[[File:ramsample8.png]]

Example 2

[[File:ramsample9.png]]
[[File:ramsample10.png]]
[[File:ramsample11.png]]
[[File:ramsample12.png]]

==Connectedness==
Angular momentum can be applied to every day life. Examples include the earth rotating on its axis, a figure skater, a football spinning as it's being thrown, or even a firing bullet.
[[File:skaterang.png]]

==History==

The idea of rotational angular momentum came from Johannes Kepler, a German scientist and astronomer who lived in the late 1500's through the mid 1600's. Kepler believed that planets orbited in an ellipse, but he also needed a rule to describe the change of velocity over time. He discovered a law of areas. This means that as planets orbit the sun, they sweep out in equal areas over equal amounts of time. However, Isaac Newton, a physicist and mathematician who came after Kepler, realized that the area law was part of a larger theory of motion.

Newton's second law particularly covers angular momentum. The second law states that the acceleration is dependent on the net force upon the object and the mass of the object. The vector sum of all torques acting on a particle is equal to the time rate
of change of the angular momentum of that particle.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===
Matter and Interactions by Ruth W. Chabay and Bruce A. Sherwood
Elementary Theory of Angular Momentum by M.E. Rose
Angular Momentum in Quantum Mechanics by A.R. Redmonds

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

[http://www.physicsclassroom.com/class/newtlaws/Lesson-3/Newton-s-Second-Law]
[https://physics.ucf.edu/~roldan/classes/phy2048-ch10_new.pdf]
[http://www.physicsclassroom.com/mmedia/circmot/ksl.cfm]
[http://farside.ph.utexas.edu/teaching/301/lectures/node122.html]
[https://www.crashwhite.com/apphysics/materials/practicetests/practice_test-6-rotation-angular_momentum.pdf]
[http://www.cordonline.net/cci_pic_pdfs/Chap7-2PT.pdf]
[[Category:Angular Momentum]]

File:Skaterang.png

2015-12-06T03:54:28Z

Btrugman:

Rotational Angular Momentum

2015-12-06T00:58:57Z

Btrugman:

Rotational Angular Momentum

2015-12-06T00:58:24Z

Btrugman:

Rotational Angular Momentum

2015-12-06T00:57:10Z

Btrugman:

Rotational Angular Momentum

2015-12-06T00:56:07Z

Btrugman:

File:Ramsample12.png

2015-12-06T00:52:04Z

Btrugman:

File:Ramsample11.png

2015-12-06T00:51:48Z

Btrugman:

File:Ramsample10.png

2015-12-06T00:51:25Z

Btrugman:

File:Ramsample9.png

2015-12-06T00:51:03Z

Btrugman:

Rotational Angular Momentum

2015-12-06T00:46:37Z

Btrugman:

File:Ramsample8.png

2015-12-06T00:45:41Z

Btrugman:

File:Ramsample7.png

2015-12-06T00:45:25Z

Btrugman:

File:Ramsample6.png

2015-12-06T00:45:12Z

Btrugman:

File:Ramsample5.png

2015-12-06T00:44:59Z

Btrugman:

Rotational Angular Momentum

2015-12-06T00:40:07Z

Btrugman: /* Simple */

File:Ramsample4.png

2015-12-06T00:39:40Z

Btrugman:

Rotational Angular Momentum

2015-12-06T00:35:09Z

Btrugman: /* Simple */

Rotational Angular Momentum

2015-12-06T00:34:52Z

Btrugman:

File:Ramsample3.png

2015-12-06T00:32:48Z

Btrugman:

Rotational Angular Momentum

2015-12-06T00:24:32Z

Btrugman:

File:Ramsample2.png

2015-12-06T00:21:17Z

Btrugman:

Rotational Angular Momentum

2015-12-06T00:14:37Z

Btrugman: /* Mathematical Model */

==Main Idea==

Angular momentum is a measure of rotational momentum, and total angular momentum can be defined as the sum of translational angular momentum and rotational angular momentum. This page covers rotational angular momentum or the angular momentum relative to a center of mass. More specifically, rotational angular momentum can be defined as components of a system that rotate all around its center of mass with the same angular velocity, and it can be used to demonstrate motion such as Earth's revolution.

===Mathematical Model===
There are two equations that can be used to describe rotational angular momentum. The first one is a generalized form that can be described as the sum of cross products of distance and momentum.

[[File:rotationalangularmomentum.png]]

The next equation summarizes rotational angular momentum as the product of inertia and angular velocity. (The units of rotational angular momentum are kg*m^2/s.

[[File:rotationalang.jpg]]

To use the above equation, the following equations may be needed. The first equation is used to calculate inertia. Inertia can be defined as the tendency to resist changes in their state of motion. (The units of inertia are kg*m^2.)

[[File:variousinertia.jpg]]

The next equation angular velocity which is the rate of change of angular position of a rotating object. (The units of angular velocity are radians per second).

[[File:Equationangvelpng.png]]

====A Computational Model====

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]
==Examples==

Listed below are examples of rotational angular momentum problems.

===Simple===
This is an example of a straightforward problem of rotational angular momentum.
[[File:ramsample.png]]
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===
[http://www.scientificamerican.com/article/bring-science-home-reaction-time/]

==References==

This section contains the the references you used while writing this page

[[Category:Which Category did you place this in?]]

===First Law===

The first law of thermodynamics defines the internal energy (E) as equal to the difference between heat transfer (Q) ''into'' a system and work (W) ''done by'' the system. Heat removed from a system would be given a negative sign and heat applied to the system would be given a positive sign. Internal energy can be converted into other types of energy because it acts like potential energy. Heat and work, however, cannot be stored or conserved independently because they depend on the process. This allows for many different possible states of a system to exist. There can be a process known as the adiabatic process in which there is no heat transfer. This occurs when a system is full insulated from the outside environment. The implementation of this law also brings about another useful state variable, '''enthalpy'''.

====A Mathematical Model====

E2 - E1 = Q - W

==Examples==

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

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

https://www.grc.nasa.gov/www/k-12/airplane/thermo0.html
http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/thereq.html

[[Category:Which Category did you place this in?]]

File:Ramsample.png

2015-12-06T00:12:25Z

Btrugman:

File:Equationangvelpng.png

2015-12-06T00:08:57Z

Btrugman:

Rotational Angular Momentum

2015-12-05T23:59:06Z

Btrugman:

==Main Idea==

Angular momentum is a measure of rotational momentum, and total angular momentum can be defined as the sum of translational angular momentum and rotational angular momentum. This page covers rotational angular momentum or the angular momentum relative to a center of mass. More specifically, rotational angular momentum can be defined as components of a system that rotate all around its center of mass with the same angular velocity, and it can be used to demonstrate motion such as Earth's revolution.

===Mathematical Model===
There are two equations that can be used to describe rotational angular momentum. The first one is a generalized form that can be described as the sum of cross products of distance and momentum.

[[File:rotationalangularmomentum.png]]

The next equation summarizes rotational angular momentum as the product of inertia and angular velocity.

[[File:rotationalang.jpg]]

To use the above equation, the following equations can be used to calculate inertia. (The units of inertia are kg*mg^2.)

[[File:variousinertia.jpg]]

====A Mathematical Model====

If A = B and A = C, then B = C
A = B = C

====A Computational Model====

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

===First Law===

The first law of thermodynamics defines the internal energy (E) as equal to the difference between heat transfer (Q) ''into'' a system and work (W) ''done by'' the system. Heat removed from a system would be given a negative sign and heat applied to the system would be given a positive sign. Internal energy can be converted into other types of energy because it acts like potential energy. Heat and work, however, cannot be stored or conserved independently because they depend on the process. This allows for many different possible states of a system to exist. There can be a process known as the adiabatic process in which there is no heat transfer. This occurs when a system is full insulated from the outside environment. The implementation of this law also brings about another useful state variable, '''enthalpy'''.

====A Mathematical Model====

E2 - E1 = Q - W

==Examples==

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

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

https://www.grc.nasa.gov/www/k-12/airplane/thermo0.html
http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/thereq.html

[[Category:Which Category did you place this in?]]

File:Variousinertia.jpg

2015-12-05T23:52:57Z

Btrugman:

Rotational Angular Momentum

2015-12-05T23:52:40Z

Btrugman:

File:Rotationalang.jpg

2015-12-05T23:48:49Z

Btrugman:

Rotational Angular Momentum

2015-12-05T23:46:41Z

Btrugman:

Rotational Angular Momentum

2015-12-05T23:40:31Z

Btrugman:

File:Rotationalangularmomentum.png

2015-12-05T23:38:35Z

Btrugman:

Rotational Angular Momentum

2015-12-05T23:32:36Z

Btrugman:

==Rotational Angular Momentum: Main Idea==

Angular momentum is a measure of rotational momentum, and total angular momentum can be defined as the sum of translational angular momentum and rotational angular momentum. This page covers rotational angular momentum or the angular momentum relative to a center of mass. More specifically, rotational angular momentum can be defined as components of a system that rotate all around its center of mass with the same angular velocity, and it can be used to demonstrate motion such as Earth's revolution.

==Mathematical Model==

====A Mathematical Model====

If A = B and A = C, then B = C
A = B = C

====A Computational Model====

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

===First Law===

The first law of thermodynamics defines the internal energy (E) as equal to the difference between heat transfer (Q) ''into'' a system and work (W) ''done by'' the system. Heat removed from a system would be given a negative sign and heat applied to the system would be given a positive sign. Internal energy can be converted into other types of energy because it acts like potential energy. Heat and work, however, cannot be stored or conserved independently because they depend on the process. This allows for many different possible states of a system to exist. There can be a process known as the adiabatic process in which there is no heat transfer. This occurs when a system is full insulated from the outside environment. The implementation of this law also brings about another useful state variable, '''enthalpy'''.

====A Mathematical Model====

E2 - E1 = Q - W

==Examples==

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

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

https://www.grc.nasa.gov/www/k-12/airplane/thermo0.html
http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/thereq.html

[[Category:Which Category did you place this in?]]

Rotational Angular Momentum

2015-12-05T23:25:56Z

Btrugman: /* Rotational Angular Momentum */

==Rotational Angular Momentum: Main Idea==

Angular momentum is a measure of rotational momentum, and total angular momentum can be defined as the sum of translational angular momentum and rotational angular momentum. This page covers rotational angular momentum or the angular momentum relative to a center of mass. More specifically, rotational angular momentum can be defined as components of a system that rotate all around its center of mass with the same angular velocity, and it can be used to demonstrate motion such as Earth's revolution.

===Zeroth Law===

The zeroth law states that if two systems are at thermal equilibrium at the same time as a third system, then all of the systems are at equilibrium with each other. If systems A and C are in thermal equilibrium with B, then system A and C are also in thermal equilibrium with each other. There are underlying ideas of heat that are also important. The most prominent one is that all heat is of the same kind. As long as the systems are at thermal equilibrium, every unit of internal energy that passes from one system to the other is balanced by the same amount of energy passing back. This also applies when the two systems or objects have different atomic masses or material.

====A Mathematical Model====

If A = B and A = C, then B = C
A = B = C

====A Computational Model====

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

===First Law===

The first law of thermodynamics defines the internal energy (E) as equal to the difference between heat transfer (Q) ''into'' a system and work (W) ''done by'' the system. Heat removed from a system would be given a negative sign and heat applied to the system would be given a positive sign. Internal energy can be converted into other types of energy because it acts like potential energy. Heat and work, however, cannot be stored or conserved independently because they depend on the process. This allows for many different possible states of a system to exist. There can be a process known as the adiabatic process in which there is no heat transfer. This occurs when a system is full insulated from the outside environment. The implementation of this law also brings about another useful state variable, '''enthalpy'''.

====A Mathematical Model====

E2 - E1 = Q - W

==Examples==

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

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

https://www.grc.nasa.gov/www/k-12/airplane/thermo0.html
http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/thereq.html

[[Category:Which Category did you place this in?]]

Rotational Angular Momentum

2015-11-28T04:21:36Z

Btrugman:

==Rotational Angular Momentum==

Angular momentum is the quantity of rotation of a system, and in specific, rotational angular momentum is the system's angular momentum relative to its center of mass. There are two forms of finding rotational angular momentum. The first form includes

This topics focuses on energy work of a system but it can only deal with a large scale response to heat in a system. '''Thermodynamics''' is the study of the work, heat and energy of a system. The smaller scale gas interactions can explained using the kinetic theory of gases. There are three fundamental laws that go along with the topic of thermodynamics. They are the zeroth law, the first law, and the second law. These laws help us understand predict the the operation of the physical system. In order to understand the laws, you must first understand thermal equilibrium. [[Thermal equilibrium]] is reached when a object that is at a higher temperature is in contact with an object that is at a lower temperature and the first object transfers heat to the latter object until they approach the same temperature and maintain that temperature constantly. It is also important to note that any thermodynamic system in thermal equilibrium possesses internal energy.

===Zeroth Law===

The zeroth law states that if two systems are at thermal equilibrium at the same time as a third system, then all of the systems are at equilibrium with each other. If systems A and C are in thermal equilibrium with B, then system A and C are also in thermal equilibrium with each other. There are underlying ideas of heat that are also important. The most prominent one is that all heat is of the same kind. As long as the systems are at thermal equilibrium, every unit of internal energy that passes from one system to the other is balanced by the same amount of energy passing back. This also applies when the two systems or objects have different atomic masses or material.

====A Mathematical Model====

If A = B and A = C, then B = C
A = B = C

====A Computational Model====

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

===First Law===

The first law of thermodynamics defines the internal energy (E) as equal to the difference between heat transfer (Q) ''into'' a system and work (W) ''done by'' the system. Heat removed from a system would be given a negative sign and heat applied to the system would be given a positive sign. Internal energy can be converted into other types of energy because it acts like potential energy. Heat and work, however, cannot be stored or conserved independently because they depend on the process. This allows for many different possible states of a system to exist. There can be a process known as the adiabatic process in which there is no heat transfer. This occurs when a system is full insulated from the outside environment. The implementation of this law also brings about another useful state variable, '''enthalpy'''.

====A Mathematical Model====

E2 - E1 = Q - W

==Examples==

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

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

https://www.grc.nasa.gov/www/k-12/airplane/thermo0.html
http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/thereq.html

[[Category:Which Category did you place this in?]]

Rotational Angular Momentum

2015-11-28T04:13:29Z

Btrugman: Created page with "==Rotational Angular Momentum== Angular momentum is the quantity of rotation of a system, and in specific, rotational angular momentum is the system's angular momentum relati..."

==Rotational Angular Momentum==

Angular momentum is the quantity of rotation of a system, and in specific, rotational angular momentum is the system's angular momentum relative to its center of mass.

This topics focuses on energy work of a system but it can only deal with a large scale response to heat in a system. '''Thermodynamics''' is the study of the work, heat and energy of a system. The smaller scale gas interactions can explained using the kinetic theory of gases. There are three fundamental laws that go along with the topic of thermodynamics. They are the zeroth law, the first law, and the second law. These laws help us understand predict the the operation of the physical system. In order to understand the laws, you must first understand thermal equilibrium. [[Thermal equilibrium]] is reached when a object that is at a higher temperature is in contact with an object that is at a lower temperature and the first object transfers heat to the latter object until they approach the same temperature and maintain that temperature constantly. It is also important to note that any thermodynamic system in thermal equilibrium possesses internal energy.

===Zeroth Law===

The zeroth law states that if two systems are at thermal equilibrium at the same time as a third system, then all of the systems are at equilibrium with each other. If systems A and C are in thermal equilibrium with B, then system A and C are also in thermal equilibrium with each other. There are underlying ideas of heat that are also important. The most prominent one is that all heat is of the same kind. As long as the systems are at thermal equilibrium, every unit of internal energy that passes from one system to the other is balanced by the same amount of energy passing back. This also applies when the two systems or objects have different atomic masses or material.

====A Mathematical Model====

If A = B and A = C, then B = C
A = B = C

====A Computational Model====

How do we visualize or predict using this topic. Consider embedding some vpython code here [https://trinket.io/glowscript/31d0f9ad9e Teach hands-on with GlowScript]

===First Law===

The first law of thermodynamics defines the internal energy (E) as equal to the difference between heat transfer (Q) ''into'' a system and work (W) ''done by'' the system. Heat removed from a system would be given a negative sign and heat applied to the system would be given a positive sign. Internal energy can be converted into other types of energy because it acts like potential energy. Heat and work, however, cannot be stored or conserved independently because they depend on the process. This allows for many different possible states of a system to exist. There can be a process known as the adiabatic process in which there is no heat transfer. This occurs when a system is full insulated from the outside environment. The implementation of this law also brings about another useful state variable, '''enthalpy'''.

====A Mathematical Model====

E2 - E1 = Q - W

==Examples==

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

===Simple===
===Middling===
===Difficult===

==Connectedness==
#How is this topic connected to something that you are interested in?
#How is it connected to your major?
#Is there an interesting industrial application?

==History==

Put this idea in historical context. Give the reader the Who, What, When, Where, and Why.

== See also ==

Are there related topics or categories in this wiki resource for the curious reader to explore? How does this topic fit into that context?

===Further reading===

Books, Articles or other print media on this topic

===External links===

Internet resources on this topic

==References==

https://www.grc.nasa.gov/www/k-12/airplane/thermo0.html
http://hyperphysics.phy-astr.gsu.edu/hbase/thermo/thereq.html

[[Category:Which Category did you place this in?]]

Main Page

2015-11-28T03:57:05Z

Btrugman: /* Angular Momentum */

__NOTOC__
Welcome to the Georgia Tech Wiki for Intro Physics. This resources was created so that students can contribute and curate content to help those with limited or no access to a textbook. When reading this website, please correct any errors you may come across. If you read something that isn't clear, please consider revising it!

Looking to make a contribution?
#Pick a specific topic from intro physics
#Add that topic, as a link to a new page, under the appropriate category listed below by editing this page.
#Copy and paste the default [[Template]] into your new page and start editing.

Please remember that this is not a textbook and you are not limited to expressing your ideas with only text and equations. Whenever possible embed: pictures, videos, diagrams, simulations, computational models (e.g. Glowscript), and whatever content you think makes learning physics easier for other students.

== Source Material ==
All of the content added to this resource must be in the public domain or similar free resource. If you are unsure about a source, contact the original author for permission. That said, there is a surprisingly large amount of introductory physics content scattered across the web. Here is an incomplete list of intro physics resources (please update as needed).
* A physics resource written by experts for an expert audience [https://en.wikipedia.org/wiki/Portal:Physics Physics Portal]
* A wiki book on modern physics [https://en.wikibooks.org/wiki/Modern_Physics Modern Physics Wiki]
* The MIT open courseware for intro physics [http://ocw.mit.edu/resources/res-8-002-a-wikitextbook-for-introductory-mechanics-fall-2009/index.htm MITOCW Wiki]
* An online concept map of intro physics [http://hyperphysics.phy-astr.gsu.edu/hbase/hph.html HyperPhysics]
* Interactive physics simulations [https://phet.colorado.edu/en/simulations/category/physics PhET]
* OpenStax algebra based intro physics textbook [https://openstaxcollege.org/textbooks/college-physics College Physics]
* The Open Source Physics project is a collection of online physics resources [http://www.opensourcephysics.org/ OSP]
* A resource guide compiled by the [http://www.aapt.org/ AAPT] for educators [http://www.compadre.org/ ComPADRE]

== Organizing Categories ==
These are the broad, overarching categories, that we cover in two semester of introductory physics. You can add subcategories or make a new category as needed. A single topic should direct readers to a page in one of these catagories.

<div class="toccolours mw-collapsible mw-collapsed">
===Interactions===
<div class="mw-collapsible-content">
*[[Kinds of Matter]]
*[[Detecting Interactions]]
*[[Fundamental Interactions]]
*[[System & Surroundings]]
*[[Newton's First Law of Motion]]
*[[Newton's Second Law of Motion]]
*[[Newton's Third Law of Motion]]
*[[Gravitational Force]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Theory===
<div class="mw-collapsible-content">
*[[Einstein's Theory of Special Relativity]]
*[[Quantum Theory]]
*[[General Relativity]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Notable Scientists===
<div class="mw-collapsible-content">
*[[Albert Einstein]]
*[[Ernest Rutherford]]
*[[Joseph Henry]]
*[[Michael Faraday]]
*[[J.J. Thomson]]
*[[James Maxwell]]
*[[Robert Hooke]]
*[[Marie Curie]]
*[[Carl Friedrich Gauss]]
*[[Nikola Tesla]]
*[[Andre Marie Ampere]]
*[[Sir Isaac Newton]]
*[[J. Robert Oppenheimer]]
*[[Oliver Heaviside]]
*[[Rosalind Franklin]]
*[[Erwin Schrödinger]]
*[[Enrico Fermi]]
*[[Robert J. Van de Graaff]]
*[[Charles de Coulomb]]
*[[Hans Christian Ørsted]]
*[[Philo Farnsworth]]
*[[Niels Bohr]]
*[[Georg Ohm]]
*[[Galileo Galilei]]
*[[Gustav Kirchhoff]]
*[[Max Planck]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Properties of Matter===
<div class="mw-collapsible-content">
*[[Mass]]
*[[Velocity]]
*[[Density]]
*[[Charge]]
*[[Spin]]
*[[SI Units]]

</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Contact Interactions===
<div class="mw-collapsible-content">
* [[Young's Modulus]]
* [[Friction]]
* [[Tension]]
* [[Hooke's Law]]
*[[Centripetal Force and Curving Motion]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Momentum===
<div class="mw-collapsible-content">
* [[Vectors]]
* [[Kinematics]]
* [[Predicting Change in multiple dimensions]]
* [[Momentum Principle]]
* [[Curving Motion]]
* [[Multi-particle Analysis of Momentum]]
* [[Iterative Prediction]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Angular Momentum===
<div class="mw-collapsible-content">
* [[The Moments of Inertia]]
* [[Rotation]]
* [[Torque]]
*[[Systems with Zero Torque]]
* [[Right Hand Rule]]
* [[Angular Velocity]]
* [[Predicting a Change in Rotation]]
* [[Conservation of Angular Momentum]]
*[[Rotational Angular Momentum]]
*[[Total Angular Momentum]]

</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Energy===
<div class="mw-collapsible-content">
*[[Predicting Change]]
*[[Rest Mass Energy]]
*[[Kinetic Energy]]
*[[Potential Energy]]
*[[Work]]
*[[Thermal Energy]]
*[[Conservation of Energy]]
*[[Electric Potential]]
*[[Energy Transfer due to a Temperature Difference]]
*[[Gravitational Potential Energy]]
*[[Point Particle Systems]]
*[[Real Systems]]
*[[Spring Potential Energy]]
*[[Internal Energy]]
*[[Energy Diagrams]]
*[[Translational, Rotational and Vibrational Energy]]
*[[Franck-Hertz Experiment]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Collisions===
<div class="mw-collapsible-content">
*[[Collisions]]
*[[Maximally Inelastic Collision]]
*[[Elastic Collisions]]
*[[Inelastic Collisions]]
*[[Head-on Collision of Equal Masses]]
*[[Head-on Collision of Unequal Masses]]
*[[Rutherford Experiment and Atomic Collisions]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Fields===
<div class="mw-collapsible-content">
* [[Electric Field]] of a
** [[Point Charge]]
** [[Electric Dipole]]
** [[Capacitor]]
** [[Charged Rod]]
** [[Charged Ring]]
** [[Charged Disk]]
** [[Charged Spherical Shell]]
*[[Electric Potential]]
**[[Potential Difference in a Uniform Field]]
**[[Potential Difference of point charge in a non-Uniform Field]]
**[[Sign of Potential Difference]]
*[[Electric Force]]
*[[Polarization]]
*[[Magnetic Field]]
**[[Right-Hand Rule]]
**[[Direction of Magnetic Field]]
**[[Bar Magnet]]
**[[Magnetic Force]]
**[[Hall Effect]]
**[[Lorentz Force]]
**[[Biot-Savart Law]]
**[[Integration Techniques for Magnetic Field]]
**[[Sparks in Air]]
**[[Motional Emf]]
**[[Detecting a Magnetic Field]]
**[[Moving Point Charge]]
**[[Non-Coulomb Electric Field]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Simple Circuits===
<div class="mw-collapsible-content">
*[[Components]]
*[[Steady State]]
*[[Non Steady State]]
*[[Node Rule]]
*[[Loop Rule]]
*[[Power in a circuit]]
*[[Ammeters,Voltmeters,Ohmmeters]]
*[[Current]]
*[[Ohm's Law]]
*[[RC]]
*[[Circular Loop of Wire]]
*[[RL Circuit]]
*[[LC Circuit]]
*[[Surface Charge Distributions]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Maxwell's Equations===
<div class="mw-collapsible-content">
*[[Gauss's Flux Theorem]]
**[[Electric Fields]]
**[[Magnetic Fields]]
*[[Ampere's Law]]
*[[Faraday's Law]]
**[[Inductance]]
**[[Lenz's Law]]
***[[Lenz Effect and the Jumping Ring]]
*[[Ampere-Maxwell Law]]
**[[Superconducters]]
</div>
</div>

<div class="toccolours mw-collapsible mw-collapsed">

===Radiation===
<div class="mw-collapsible-content">
*[[Producing a Radiative Electric Field]]
*[[Sinusoidal Electromagnetic Radiaton]]
*[[Lenses]]
*[[Energy and Momentum Analysis in Radiation]]
</div>
</div>
<div class="toccolours mw-collapsible mw-collapsed">

===Sound===
<div class="mw-collapsible-content">
*[[Doppler Effect]]
</div>
</div>
*[[blahb]]
</div>
</div>

== Resources ==
* Commonly used wiki commands [https://en.wikipedia.org/wiki/Help:Cheatsheet Wiki Cheatsheet]
* A guide to representing equations in math mode [https://en.wikipedia.org/wiki/Help:Displaying_a_formula Wiki Math Mode]
* A page to keep track of all the physics [[Constants]]
* An overview of [[VPython]]