Torque vs Work: Difference between revisions
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In modern physics, there a two concepts that, while describing different ideas, happen to utilize the same units, these units being: | In modern physics, there a two concepts that, while describing different ideas, happen to utilize the same units, these units being: | ||
Units | |||
<math> Newton * meters </math> | <math> Newton * meters </math> | ||
<math> (N * m) </math> | <math> (N * m) </math> | ||
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<math> W = \vec{F}*\vec{r} </math> | <math> W = \vec{F}*\vec{r} </math> | ||
where '''W''' is the scaler dot product of the force vector and change in position vector | |||
Previously, when we addressed the energy principle and energy in general, we describe the measurement of energy and change in energy in: | Previously, when we addressed the energy principle and energy in general, we describe the measurement of energy and change in energy in: | ||
Units | |||
<math> Joules </math> | <math> Joules </math> | ||
<math> (J) </math> | <math> (J) </math> | ||
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JeremyMD
When it comes to our universe, there still remains much that we do not understand. That we we do know and understand, we measure in relation to other ideas or subjects, in terms of abstracts we call units. In modern physics, and most mathematical applications we relate and measure matter and interactions in terms of these units. However, two such descriptions having the same units does necessarily connotate a representation of the same idea or measurement. Here, we will examine one such occurrence in modern physics, specifically the difference between torque and work when both are expressed as Newton*meters.
The Newton-Meter --> Vector vs Scaler
State, in your own words, the main idea for this topic
In modern physics, there a two concepts that, while describing different ideas, happen to utilize the same units, these units being:
Units [math]\displaystyle{ Newton * meters }[/math] [math]\displaystyle{ (N * m) }[/math]
The first of these concepts is torque, which is a measurement of the moment that a force causes in a system. A moment is also known as a system's tendency of a force to cause rotation.
The second concept is work, which is the measurement of a force acting over a distance on a given system.
[math]\displaystyle{ W = \vec{F}*\vec{r} }[/math] where W is the scaler dot product of the force vector and change in position vector
Previously, when we addressed the energy principle and energy in general, we describe the measurement of energy and change in energy in:
Units [math]\displaystyle{ Joules }[/math] [math]\displaystyle{ (J) }[/math]
As it happens, work is also eq
A Mathematical Model
What are the mathematical equations that allow us to model this topic. For example [math]\displaystyle{ {\frac{d\vec{p}}{dt}}_{system} = \vec{F}_{net} }[/math] where p is the momentum of the system and F is the net force from the surroundings.
A Computational Model
How do we visualize or predict using this topic. Consider embedding some vpython code here Teach hands-on with GlowScript
Examples
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Simple
Middling
Difficult
Connectedness
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- How is it connected to your major?
- Is there an interesting industrial application?
History
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See also
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Further reading
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References
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