Frame of Reference - Revision history

Alabbady at 23:49, 5 August 2022

2022-08-05T23:49:46Z

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-Created by Abhinav Sundaresan
+Created by Abdulaziz Alabbady Summer 2022
 [[File:FOR.jpg|250px|thumb|right|Frame of Reference]]
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-[[File:Train FOR.png]]
+[[File:Carframe.gif|250px|thumb|right|The movement of a car in different reference frames]]
 To the first observer (and his frame of reference), the boy is moving to the right along with the train. To the boy on the train (and his different frame of reference), he is standing still on the train. Here is a basic example of how changing the frame of reference can be a very powerful tool.
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 This means that <math>\vec{v} = <110,40.5,139.5> m/s</math>
 ==Connectedness==
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 Although it is not known who came up with this concept of reference frames, it has been key to interpreting and understanding the world around us. Newton assumed a Euclidean space when looking at frames of reference which he used when he came up with important ideas and theories such as gravity. Einstein came up with transformations between reference frames to come up with his special theory of relativity. These are just some examples of how frames of reference have been used through the history of science and man.
 == See also ==

YorickAndeweg: /* The Main Idea */

2019-06-03T21:27:02Z

The Main Idea

← Older revision		Revision as of 17:27, 3 June 2019
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	==The Main Idea==		==The Main Idea==

	A frame of reference is the point in the way or perspective from which you view the events that take place within a system. In this class we use inertial frames of reference, or frames of reference moving at constant velocities. (See the "inertial reference frames" section on the [[Inertia]] page for more information.) <!--HTML comment: whoever is cleaning up this page, ~~when~~ you ~~significantly improve it~~, you might want to move this info from the inertia page to this one.--> It is easy to think about if you imagine a person and what they would see if they were standing where you want a frame of reference to be. Consider the below example where there are two frames of reference: The one that observes the whole train and the boy and the one from the point of view of the boy on the train.		A frame of reference is the point in the way or perspective from which you view the events that take place within a system. In this class we use inertial frames of reference, or frames of reference moving at constant velocities. (See the "inertial reference frames" section on the [[Inertia]] page for more information.) <!--HTML comment: whoever is cleaning up this page, if you are making major changes (which this page needs), you might want to move this info from the inertia page to this one.--> It is easy to think about if you imagine a person and what they would see if they were standing where you want a frame of reference to be. Consider the below example where there are two frames of reference: The one that observes the whole train and the boy and the one from the point of view of the boy on the train.

YorickAndeweg: /* The Main Idea */

2019-06-03T21:25:52Z

The Main Idea

← Older revision		Revision as of 17:25, 3 June 2019
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	==The Main Idea==		==The Main Idea==

	A frame of reference is the point in the way or perspective from which you view the events that take place within a system. In this class we use inertial frames of reference, or frames of reference moving at constant velocities. (~~Technically, this cannot be~~ the ~~definition of an~~ inertial ~~frame of~~ reference~~; against what is~~ the ~~velocity of a frame measured? The definition of an inertial frame of reference is a frame in which objects exhibit~~ [[Inertia]], ~~meaning they do not accelerate in~~ the ~~absence of a net external force~~. It is easy to think about if you imagine a person and what they would see if they were standing where you want a frame of reference to be. Consider the below example where there are two frames of reference: The one that observes the whole train and the boy and the one from the point of view of the boy on the train.		A frame of reference is the point in the way or perspective from which you view the events that take place within a system. In this class we use inertial frames of reference, or frames of reference moving at constant velocities. (See the "inertial reference frames" section on the [[Inertia]] page for more information.) <!--HTML comment: whoever is cleaning up this page, when you significantly improve it, you might want to move this info from the inertia page to this one.--> It is easy to think about if you imagine a person and what they would see if they were standing where you want a frame of reference to be. Consider the below example where there are two frames of reference: The one that observes the whole train and the boy and the one from the point of view of the boy on the train.

YorickAndeweg at 20:59, 3 June 2019

2019-06-03T20:59:51Z

← Older revision		Revision as of 16:59, 3 June 2019
Line 7:		Line 7:
	==The Main Idea==		==The Main Idea==

	A frame of reference is the point in the way or perspective from which you view the events that take place within a system. In this class we use inertial frames of reference (~~frames where~~ the velocity is ~~constant)~~. It is easy to think about if you imagine a person and what they would see if they were standing where you want a frame of reference to be. Consider the below example where there are two frames of reference: The one that observes the whole train and the boy and the one from the point of view of the boy on the train.		A frame of reference is the point in the way or perspective from which you view the events that take place within a system. In this class we use inertial frames of reference, or frames of reference moving at constant velocities. (Technically, this cannot be the definition of an inertial frame of reference; against what is the velocity of a frame measured? The definition of an inertial frame of reference is a frame in which objects exhibit [[Inertia]], meaning they do not accelerate in the absence of a net external force. It is easy to think about if you imagine a person and what they would see if they were standing where you want a frame of reference to be. Consider the below example where there are two frames of reference: The one that observes the whole train and the boy and the one from the point of view of the boy on the train.

Asundaresan6: /* Middling */

2015-12-05T06:36:17Z

Middling

← Older revision		Revision as of 02:36, 5 December 2015
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	===Middling===		===Middling===

	You are in a boat and you see another boat that to you is moving at a velocity of <5,17,0> m/s. Your friend who is stationary on the shore thinks that it is moving at a velocity of <10, 24,0> m/s. What is the velocity of your boat?		You are in a boat and you see another boat that to you think is moving at a velocity of <5,17,0> m/s. Your friend who is stationary on the shore thinks that it is moving at a velocity of <10, 24,0> m/s. What is the velocity of your boat?

Asundaresan6: /* Middling */

2015-12-05T06:35:59Z

Middling

← Older revision		Revision as of 02:35, 5 December 2015
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	===Middling===		===Middling===

	You are in a boat and you see another boat that to you is moving at a velocity of <5,17,0> m/s. Your friend on the shore thinks that it is moving at a velocity of <10, 24,0> m/s. What is the velocity of your boat?		You are in a boat and you see another boat that to you is moving at a velocity of <5,17,0> m/s. Your friend who is stationary on the shore thinks that it is moving at a velocity of <10, 24,0> m/s. What is the velocity of your boat?

Asundaresan6: /* Examples */

2015-12-05T06:34:55Z

Examples

← Older revision		Revision as of 02:34, 5 December 2015
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	==Examples==		==Examples==

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

	===Simple===		===Simple===

Asundaresan6: /* Middling */

2015-12-05T06:34:19Z

Middling

← Older revision		Revision as of 02:34, 5 December 2015
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	<math>\vec{v} = \vec{v}' + \vec{v}_{frame}</math>		<math>\vec{v} = \vec{v}' + \vec{v}_{frame}</math>

	In this scenario, </math>\vec{v}_{frame}</math>is what we are solving for and </math>\vec{v}'</math> = <5,17,0> m/s, meaning that <math>\vec{v}</math> is <10, 24,0> m/s.		In this scenario, <math>\vec{v}_{frame}</math>is what we are solving for and <math>\vec{v}'</math> = <5,17,0> m/s, meaning that <math>\vec{v}</math> is <10, 24,0> m/s.

	Plugging in what we know, </math><10, 24,0> m/s = <5,17,0> m/s + \vec{v}_{frame}</math>		Plugging in what we know, <math><10, 24,0> m/s = <5,17,0> m/s + \vec{v}_{frame}</math>

	This means that </math>\vec{v}_{frame} = <5,7,0> m/s</math>		This means that <math>\vec{v}_{frame} = <5,7,0> m/s</math>

	===Difficult===		===Difficult===

Asundaresan6: /* Middling */

2015-12-05T06:33:43Z

Middling

← Older revision		Revision as of 02:33, 5 December 2015
Line 68:		Line 68:
	<math>\vec{v} = \vec{v}' + \vec{v}_{frame}</math>		<math>\vec{v} = \vec{v}' + \vec{v}_{frame}</math>

	In this scenario, <math>\vec{v}_{frame}<math>is what we are solving for and </math>\vec{v}'</math> = <5,17,0> m/s, meaning that <math>\vec{v}</math> is <10, 24,0> m/s.		In this scenario, </math>\vec{v}_{frame}</math>is what we are solving for and </math>\vec{v}'</math> = <5,17,0> m/s, meaning that <math>\vec{v}</math> is <10, 24,0> m/s.

	Plugging in what we know, <math><10, 24,0> m/s = <5,17,0> m/s + \vec{v}_{frame}</math>		Plugging in what we know, </math><10, 24,0> m/s = <5,17,0> m/s + \vec{v}_{frame}</math>

	This means that <math>\vec{v}_{frame} = <5,7,0> m/s</math>		This means that </math>\vec{v}_{frame} = <5,7,0> m/s</math>

	===Difficult===		===Difficult===

Asundaresan6: /* Middling */

2015-12-05T06:33:11Z

Middling

← Older revision		Revision as of 02:33, 5 December 2015
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	===Middling===		===Middling===

	You are in a boat and you see another boat that to you is moving at a velocity of <5,17,0> m/s. Your friend on the shore thinks that it is moving at a velocity of <10, 14,0> m/s. What is the velocity of your boat?		You are in a boat and you see another boat that to you is moving at a velocity of <5,17,0> m/s. Your friend on the shore thinks that it is moving at a velocity of <10, 24,0> m/s. What is the velocity of your boat?


	<math>\vec{v} = \vec{v}' + \vec{v}_{frame}</math>		<math>\vec{v} = \vec{v}' + \vec{v}_{frame}</math>

	In this scenario, <math>\vec{v}_{frame}<math>is what we are solving for and </math>\vec{v}' = <5,17,0> m/s~~</math>~~, meaning that <math>\vec{v}</math> is <10, 14,0>.		In this scenario, <math>\vec{v}_{frame}<math>is what we are solving for and </math>\vec{v}'</math> = <5,17,0> m/s, meaning that <math>\vec{v}</math> is <10, 24,0> m/s.

	Plugging in what we know, <math>~~\vec{v} =~~ <60,~~17.5~~,~~77.5~~> m/s + <50,23,62> m/s</math>		Plugging in what we know, <math><10, 24,0> m/s = <5,17,0> m/s + \vec{v}_{frame}</math>

	This means that <math>\vec{v} = <~~110~~,~~40.5~~,~~139.5~~> m/s</math>		This means that <math>\vec{v}_{frame} = <5,7,0> m/s</math>

	===Difficult===		===Difficult===