2011: Problem 22

Topic: Energy
Concepts: Power

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Solution:

Recall the instantaneous power is given by

$$P=\tau\omega$$

so lines of constant power are hyperbolas $\tau \propto 1/\omega$ on a $\tau$–$\omega$ plot. The furthest hyperbola (maximum power) is tangent to the graph at a point between II and III so the answer is D.

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