Torque vs Work

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JeremyMD

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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, specifically:

[math]\displaystyle{ Newton * meters }[/math] [math]\displaystyle{ (N * m) }[/math]

The first of these 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 of these concepts is work, which is a measurement of a force acting over a distance on a given system.

Previously, when we addressed the energy principle and energy in general, we describe the measurement of energy and change in energy in:

[math]\displaystyle{ Joules }[/math] [math]\displaystyle{ (J) }[/math]

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

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Examples

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Connectedness

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