Rotational Angular Momentum - Revision history

Aricer123: /* Mathematical Model */

2024-12-04T04:01:09Z

Mathematical Model

← Older revision		Revision as of 00:01, 4 December 2024
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	[[File:Equationangvelpng.png]]		[[File:Equationangvelpng.png]]

			Rotational angular momentum can be determined if you know the total angular momentum of a system and its translational angular momentum. The relationship is expressed as:
			<math>L_{\text{rot}} = L_{\text{total}} - L_{\text{trans}}</math>
			<math>
			L_{\text{total}} \text{ is the sum of all angular momentum in the system.} \\
			</math>
			<math>
			L_{\text{trans}} \text{ is the angular momentum due to the object's linear motion relative to a reference point.} \\
			</math>
			<math>
			L_{\text{rot}} \text{ represents the angular momentum due to the object's rotation about its own axis.}
			</math>

	===Computational Model===		===Computational Model===

Aricer123: /* Main Idea */

2024-12-04T03:53:45Z

Main Idea

← Older revision		Revision as of 23:53, 3 December 2024
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	[[File:Equationangvelpng.png]]		[[File:Equationangvelpng.png]]
			===Computational Model===

			You can visualize the concept of rotational angular momentum with this simulation:
			Check out the simulation here of a spinning figure skater extending arms(the rod is the body balls the arms):
			[https://www.glowscript.org/#/user/iyerarchith/folder/MyPrograms/program/ComputationalModel Click here to view the simulation]

	==Examples==		==Examples==

Tzhou: /* Connectedness */

2016-11-27T02:09:38Z

Connectedness

← Older revision		Revision as of 22:09, 26 November 2016
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	==Connectedness==		==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.		Rotational 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. Anything that rotates on its own axis will have rotational angular momentum.
	[[File:skaterang.png]]		[[File:skaterang.png]]

Tzhou: /* Main Idea */

2016-11-22T19:46:44Z

Main Idea

← Older revision		Revision as of 15:46, 22 November 2016
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	==Main Idea==		==Main Idea==

	What is Rotational Angular Momentum? In short, rotational angualr momentum is the momentum of an object spinning on its own axis. Therefore if an object does not spin on its own axis, then it ~~will~~ not have a rotational angualr momentum. This page will give you and overall understanding of rotational angular momentum, through a couple practice problems and detailed explanation of rotational angular momentum and its relationship with other physics concept.		What is Rotational Angular Momentum? In short, rotational angualr momentum is the momentum of an object spinning on its own axis. Therefore if an object does not spin on its own axis, then it does not have a rotational angualr momentum. This page will give you and overall understanding of rotational angular momentum, through a couple practice problems and detailed explanation of rotational angular momentum and its relationship with other physics concept.

	'''Total angualr momentum can be defined as the sum of the translational and rotational angualr momentum'''. In other words, we can find rotatational angualr momentum without anything more than simple subtration, if we have both the total angular momentum and translational momentum.		'''Total angualr momentum can be defined as the sum of the translational and rotational angualr momentum'''. In other words, we can find rotatational angualr momentum without anything more than simple subtration, if we have both the total angular momentum and translational momentum.

Tzhou: /* Main Idea */

2016-11-22T19:24:16Z

Main Idea

← Older revision		Revision as of 15:24, 22 November 2016
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	'''There are two equations that can be used to describe rotational angular momentum.'''		'''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.		The first one is a generalized form that can be described as the sum of cross products of distance and momentum.

	[[File:rotationalangularmomentum.png]]		[[File:rotationalangularmomentum.png]]

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	The moment of inertia can be defined as the tendency to resist changes in their state of motion.		The moment of inertia can be defined as the tendency to resist changes in their state of motion.
	(The units of inertia are kg*m^2.)		(The units of inertia are kg*m^2.)

	[[File:variousinertia.jpg]]		[[File:variousinertia.jpg]]

Tzhou: /* Main Idea */

2016-11-22T19:23:37Z

Main Idea

← Older revision		Revision as of 15:23, 22 November 2016
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	What is Rotational Angular Momentum? In short, rotational angualr momentum is the momentum of an object spinning on its own axis. Therefore if an object does not spin on its own axis, then it will not have a rotational angualr momentum. This page will give you and overall understanding of rotational angular momentum, through a couple practice problems and detailed explanation of rotational angular momentum and its relationship with other physics concept.		What is Rotational Angular Momentum? In short, rotational angualr momentum is the momentum of an object spinning on its own axis. Therefore if an object does not spin on its own axis, then it will not have a rotational angualr momentum. This page will give you and overall understanding of rotational angular momentum, through a couple practice problems and detailed explanation of rotational angular momentum and its relationship with other physics concept.

			'''Total angualr momentum can be defined as the sum of the translational and rotational angualr momentum'''. In other words, we can find rotatational angualr momentum without anything more than simple subtration, if we have both the total angular momentum and translational momentum.

			In other cases, solving for rotational angular momentum will take more than just subtraction, and require us to use some of the equation listed below.
	===Mathematical Model===		===Mathematical Model===
	There are two equations that can be used to describe rotational angular momentum.		'''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.		The first one is a generalized form that can be described as the sum of cross products of distance and momentum.
	[[File:rotationalangularmomentum.png]]		[[File:rotationalangularmomentum.png]]
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	[[File:rotationalang.jpg]]		[[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.)		To use the above equation, the following equations may be needed.
			The first equation is used to calculate the moment inertia.
			The moment of 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]]		[[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).		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]]		[[File:Equationangvelpng.png]]

Tzhou: /* Main Idea */

2016-11-22T19:10:19Z

Main Idea

← Older revision		Revision as of 15:10, 22 November 2016
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	==Main Idea==		==Main Idea==

	What is Rotational Angular Momentum? In short, rotational angualr momentum is the momentum of an object spinning on its own axis. Therefore ~~we have to understand~~ if an object does not spin on its own axis, then it will not have a rotational angualr momentum. This page will give you and overall understanding of rotational angular momentum, through a couple practice problems and detailed explanation of rotational angular momentum and its relationship with other physics concept.		What is Rotational Angular Momentum? In short, rotational angualr momentum is the momentum of an object spinning on its own axis. Therefore if an object does not spin on its own axis, then it will not have a rotational angualr momentum. This page will give you and overall understanding of rotational angular momentum, through a couple practice problems and detailed explanation of rotational angular momentum and its relationship with other physics concept.
	===Mathematical Model===		===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.		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]]		[[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.		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]]		[[File:rotationalang.jpg]]

Tzhou: /* Main Idea */

2016-11-22T19:09:24Z

Main Idea

← Older revision		Revision as of 15:09, 22 November 2016
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	==Main Idea==		==Main Idea==

	What is Rotational Angular Momentum? In short, rotational angualr momentum is ~~the measurement of~~ the momentum of a object ~~rotating spining~~ on its own axis. Therefore we have to understand if an object does not spin on its own axis it will not have a rotational angualr momentum. This page will give you and overall understanding of rotational angular momentum, through a couple practice problems and detailed explanation of rotational angular momentum and its relationship with other physics concept.		What is Rotational Angular Momentum? In short, rotational angualr momentum is the momentum of an object spinning on its own axis. Therefore we have to understand if an object does not spin on its own axis, then it will not have a rotational angualr momentum. This page will give you and overall understanding of rotational angular momentum, through a couple practice problems and detailed explanation of rotational angular momentum and its relationship with other physics concept.
	===Mathematical Model===		===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.		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.

Tzhou: /* Main Idea */

2016-11-22T19:08:10Z

Main Idea

← Older revision		Revision as of 15:08, 22 November 2016
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	==Main Idea==		==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~~.		What is Rotational Angular Momentum? In short, rotational angualr momentum is the measurement of the momentum of a object rotating spining on its own axis. Therefore we have to understand if an object does not spin on its own axis it will not have a rotational angualr momentum. This page will give you and overall understanding of rotational angular momentum, through a couple practice problems and detailed explanation of rotational angular momentum and its relationship with other physics concept.

	===Mathematical Model===		===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.		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.
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	[[File:Equationangvelpng.png]]		[[File:Equationangvelpng.png]]


	==Examples==		==Examples==

Tzhou at 23:31, 17 November 2016

2016-11-17T23:31:27Z

← Older revision		Revision as of 19:31, 17 November 2016
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			Claimed by: Tiffany Zhou
	==Main Idea==		==Main Idea==