A mechanic uses a torque wrench to tighten a bolt. The graph below shows the torque \(\tau\) applied to the bolt as a function of its angular position \(\theta\) as the bolt is rotated from \(\theta = 0\) to \(\theta = 2\pi \text{ rad}\). What is the total rotational work done on the bolt during this interval? • Nerd Notes

AP Physics 1

6.2 Torque and Work

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Torque applied to a bolt as a function of its angular position.

A mechanic uses a torque wrench to tighten a bolt. The graph below shows the torque \(\tau\) applied to the bolt as a function of its angular position \(\theta\) as the bolt is rotated from \(\theta = 0\) to \(\theta = 2\pi \text{ rad}\).

What is the total rotational work done on the bolt during this interval?

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