Torque 2 - Revision history

Bbreer6: /* A Computational Model */

2019-07-25T17:08:25Z

A Computational Model

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	<math>t = t + \delta t</math>		<math>t = t + \delta t</math>

	where L is the angular momentum initialized earlier, t_{net} is the total torque, \delta t is the time step, and r is the original position.		where L is the angular momentum initialized earlier, <math>t_{net}</math> is the total torque, <math>\delta t</math> is the time step, and r is the original position.

	==Examples==		==Examples==

Bbreer6: /* A Mathematical Model */

2019-07-25T17:07:46Z

A Mathematical Model

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	[[File:torque_diagram.gif]]		[[File:torque_diagram.gif]]

	Torque is defined as the cross product of the distance vector, the distance from pivot point to the location of the applied force, with an applied force. The magnitude of torque can be defined as such:		Torque is defined as the cross product of the distance vector, the distance from pivot point to the location of the applied force, with an applied force. The magnitude of torque can be defined as such:
	*τ<sub>A<~~/sub~~> = ~~r<sub>~~A</~~sub~~>~~Fsinθ~~		<math>\tau_{net} = r_{A} \cdot F \cdot sin(\theta)</math>
	Torque can also be defined as τ = dL/dt , or the derivative of angular momentum, L.
	To determine the direction of torque, one can either compute the cross product or apply the "right-hand rule." To use the "right-hand rule," point your fingers in the direction of r<~~sub~~>A</~~sub~~> and curl your fingers in the direction of F.		Torque can also be defined as <math>\tau = \frac{dL}{dt}</math> , or the derivative of angular momentum, L.
			To determine the direction of torque, one can either compute the cross product or apply the "right-hand rule." To use the "right-hand rule," point your fingers in the direction of <math>r_{A}</math> and curl your fingers in the direction of F.

	[[File:Rhr_torque.JPG]]		[[File:Rhr_torque.JPG]]

Bbreer6: /* The Main Idea */

2019-07-25T17:06:03Z

The Main Idea

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	==The Main Idea==		==The Main Idea==

	In "Matter & Interactions, Fourth Edition," torque is defined as <math>\tau = r_{A} \~~ccross~~ F</math> .		In "Matter & Interactions, Fourth Edition," torque is defined as <math>\tau = r_{A} \times F</math> .
	Applying a torque to an object changes the angular momentum of that object. Torque, in angular momentum calculations, is analogous to <math>F_{net}</math> in regular momentum calculations. Just how a collection of forces acting on a system is summed and called <math>F_{net}</math>, a collection of torques acting on a system is <math>\tau_{net}</math>.		Applying a torque to an object changes the angular momentum of that object. Torque, in angular momentum calculations, is analogous to <math>F_{net}</math> in regular momentum calculations. Just how a collection of forces acting on a system is summed and called <math>F_{net}</math>, a collection of torques acting on a system is <math>\tau_{net}</math>.

Bbreer6: /* The Main Idea */

2019-07-25T17:05:36Z

The Main Idea

← Older revision		Revision as of 13:05, 25 July 2019
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	==The Main Idea==		==The Main Idea==

	In "Matter & Interactions, Fourth Edition," torque is defined as <math>\tau = r_{A} x F</math> .		In "Matter & Interactions, Fourth Edition," torque is defined as <math>\tau = r_{A} \ccross F</math> .
	Applying a torque to an object changes the angular momentum of that object. Torque, in angular momentum calculations, is analogous to <math>F_{net}</math> in regular momentum calculations. Just how a collection of forces acting on a system is summed and called <math>F_{net}</math>, a collection of torques acting on a system is <math>\tau_{net}</math>.		Applying a torque to an object changes the angular momentum of that object. Torque, in angular momentum calculations, is analogous to <math>F_{net}</math> in regular momentum calculations. Just how a collection of forces acting on a system is summed and called <math>F_{net}</math>, a collection of torques acting on a system is <math>\tau_{net}</math>.

Bbreer6: /* The Main Idea */

2019-07-25T17:05:24Z

The Main Idea

← Older revision		Revision as of 13:05, 25 July 2019
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	==The Main Idea==		==The Main Idea==

	In "Matter & Interactions, Fourth Edition," torque is defined as τ = ~~r<sub>~~A</~~sub~~> ~~x F~~ .		In "Matter & Interactions, Fourth Edition," torque is defined as <math>\tau = r_{A} x F</math> .
	Applying a torque to an object changes the angular momentum of that object. Torque, in angular momentum calculations, is ~~analogus~~ to F<~~sub~~>net</~~sub~~> in regular momentum calculations. Just ~~like~~ how a collection of forces acting on a system is called F<~~sub~~>net</~~sub~~>, a collection of torques acting on a system is ~~τ~~<~~sub~~>net</~~sub~~>.		Applying a torque to an object changes the angular momentum of that object. Torque, in angular momentum calculations, is analogous to <math>F_{net}</math> in regular momentum calculations. Just how a collection of forces acting on a system is summed and called <math>F_{net}</math>, a collection of torques acting on a system is <math>\tau_{net}</math>.

	===A Mathematical Model===		===A Mathematical Model===

Bbreer6: /* Torque */

2019-07-25T17:03:04Z

Torque

← Older revision		Revision as of 13:03, 25 July 2019
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	== Torque ==		== Torque ==

	Torque is a Latin word that roughly means "twist," and is usually symbolized by the lower case Greek letter tau (<math>\tau</math>. Torque is the measurement of how much a force, F, acting on an object will cause that object to rotate. This force is usually applied to an arm of some sort that is attached to a fulcrum or pivot point. For example, using a wrench to loosen or tighten a nut requires the use of torque - where the wrench would be the arm you apply the force to and the nut would be the pivot point that the force rotates around.		Torque is a Latin word that roughly means "twist," and is usually symbolized by the lower case Greek letter tau (<math>\tau</math>). Torque is the measurement of how much a force, F, acting on an object will cause that object to rotate. This force is usually applied to an arm of some sort that is attached to a fulcrum or pivot point. For example, using a wrench to loosen or tighten a nut requires the use of torque - where the wrench would be the arm you apply the force to and the nut would be the pivot point that the force rotates around.

	[[File:wrench_gif.gif]]		[[File:wrench_gif.gif]]

Bbreer6: /* Torque */

2019-07-25T17:02:56Z

Torque

← Older revision		Revision as of 13:02, 25 July 2019
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	== Torque ==		== Torque ==

	Torque is a Latin word that roughly means "twist," and is usually symbolized by the lower case Greek letter tau. Torque is the measurement of how much a force, F, acting on an object will cause that object to rotate. This force is usually applied to an arm of some sort that is attached to a fulcrum or pivot point. For example, using a wrench to loosen or tighten a nut requires the use of torque - where the wrench would be the arm you apply the force to and the nut would be the pivot point that the force rotates around.		Torque is a Latin word that roughly means "twist," and is usually symbolized by the lower case Greek letter tau (<math>\tau</math>. Torque is the measurement of how much a force, F, acting on an object will cause that object to rotate. This force is usually applied to an arm of some sort that is attached to a fulcrum or pivot point. For example, using a wrench to loosen or tighten a nut requires the use of torque - where the wrench would be the arm you apply the force to and the nut would be the pivot point that the force rotates around.

	[[File:wrench_gif.gif]]		[[File:wrench_gif.gif]]

Bbreer6: /* References */

2019-07-25T17:01:40Z

References

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	==References==		==References==

	~~This section contains the the references you used while writing this page~~
	[[https://en.wikipedia.org/wiki/Torque]]		[[https://en.wikipedia.org/wiki/Torque]]
	[http://hyperphysics.phy-astr.gsu.edu/hbase/torq.html]		[http://hyperphysics.phy-astr.gsu.edu/hbase/torq.html]
	[https://www.physics.uoguelph.ca/tutorials/torque/Q.torque.intro.html]		[https://www.physics.uoguelph.ca/tutorials/torque/Q.torque.intro.html]
	[[Category:Angular Momentum]]		[[Category:Angular Momentum]]

Bbreer6: /* Further reading */

2019-07-25T17:01:11Z

Bbreer6: /* A Computational Model */

2019-07-25T17:00:01Z

A Computational Model

← Older revision		Revision as of 13:00, 25 July 2019
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	[[File:Torque.gif]]		[[File:Torque.gif]]

	The above picture is a great example of what torque would look like in the real world. To make a similar simulation in ~~vpython~~, all you would need to do is update position and angular momentum. The code would look something like this:		The above picture is a great example of what torque would look like in the real world. To make a similar simulation in vPython, all you would need to do is update position and angular momentum. The code would look something like this:

	While t<some number:		While t < some number:

	L=L+~~tnet*deltat~~		<math>L = L + t_{net}\cdot \delta t</math>

	v=L/~~mass~~		<math>v = \frac{L}{mass}</math>

	r=r+v*deltat		<math>r = r + v \cdot \delta t</math>

	t=t+~~deltat~~		<math>t = t + \delta t</math>

	~~Where~~ L is ~~your~~ angular momentum initialized earlier, ~~tnet~~ is total torque, ~~deltat~~ is ~~your~~ time step, and r is ~~your~~ original ~~location~~.		where L is the angular momentum initialized earlier, t_{net} is the total torque, \delta t is the time step, and r is the original position.

	==Examples==		==Examples==

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	===Further reading===		===Further reading===

	~~Books, Articles or other print media on this topic~~		https://www.physics.uoguelph.ca/tutorials/torque/Q.torque.intro.html

	===External links===		===External links===