A torque of $20.0 \mathrm{~N} \cdot \mathrm{m}$ is applied to a bolt. The bolt rotates through an angle of 180 degrees. The work done in turning the bolt is
A) $49.9 \mathrm{~J}$.
B) $62.8 \mathrm{~J}$.
C) $72.5 \mathrm{~J}$.
D) $51.9 \mathrm{~J}$.
E) $58.4 \mathrm{~J}$

Question

Quizplus · Accepted Answer

The work done in turning the bolt can be calculated using the formula $W = \tau \theta$, where $W$ is the work done, $\tau$ is the torque applied, and $\theta$ is the angle in radians. First, convert the angle from degrees to radians: $180^\circ = \pi$ radians. Then, calculate the work: $W = 20.0 \, \text{N} \cdot \text{m} \times \pi = 62.8 \, \text{J}$.

A Torque Of 20.0 N⋅m20.0 \mathrm{~N} \cdot \mathrm{m}20.0 N⋅m Is Applied to a Bolt

A Torque Of $20.0 \mathrm{~N} \cdot \mathrm{m}$ Is Applied to a Bolt