AP Physics 1
6.2 Torque and Work
Engineers test two experimental wind turbine blade designs, Design 1 and Design 2, by applying a net torque to rotate each design from rest through a specific angular displacement. The table below summarizes the applied net torque as a function of angular displacement \(\theta\) and the total angular displacement \(\Delta \theta_{\text{total}}\) for each test.
Which of the following correctly compares the average net torque \(\tau_{\text{avg,2}}\) exerted on Design 2 and the net work \(W_{\text{net,2}}\) done on Design 2 to the corresponding quantities for Design 1?
| Design | Net Torque Function \(\tau(\theta)\) | Total Angular Displacement \(\Delta \theta_{\text{total}}\) |
|---|---|---|
| Design 1 | Increases linearly from \(0\) to \(2\tau_0\) | \(\Delta \theta_0\) |
| Design 2 | Constant torque equal to \(1.5\tau_0\) | \(0.5\Delta \theta_0\) |
Which of the following correctly compares the average net torque \(\tau_{\text{avg,2}}\) exerted on Design 2 and the net work \(W_{\text{net,2}}\) done on Design 2 to the corresponding quantities for Design 1?
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