10 questions linked to/from Why is torque not measured in Joules?
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### Why can't the units of work and torque be interchanged? [duplicate]

When I'm studying about work and torque, I found that their unit are the same. But, why don't we use Joule (unit of work) instead of Newton-meter (unit of torque)? Since $\mathrm{1\ Joule = 1\ Nm}$, ...
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### Over the definition of Joule in relation to a vector quantity [duplicate]

I was thinking about the unit of measure of the Energy (as well as Heat and Work) which is Joule $$\text{J} = \frac{\text{kg}\cdot \text{m}^2}{\text{s}^2} = \text{N}\cdot \text{m}$$ But again, ...
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### Units don't match in the torsional spring energy!

According to Wikipedia's description of torsion springs and according to my understanding of physics the energy of a torsional spring can be written as $$U=\frac{1}{2}k \varphi^2$$ where $k$ is a ...
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