alleryStart learning →What is the work done by a net torque that turns a body through an angle theta?
AW = net torque divided by theta
BW = net torque times theta squared
CW = net torque divided by radius
DW = net torque times theta
Answer & Solution
Correct answer: D. W = net torque times theta
1. Straight-line work is force multiplied by distance moved along the force.
2. Starting from net W = (net F) delta s and multiplying and dividing by r gives net W = (r net F)(delta s / r).
3. The first bracket is the net torque and the second is the angle theta.
4. So net W = (net torque) theta, with torque analogous to force and angle analogous to distance.
_Source: OpenStax College Physics (CC BY 4.0), Ch 10 "Rotational Motion and Angular Momentum", section 10.4 Rotational Kinetic Energy: Work and Energy Revisited_
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