Using the graph, identify the time intervals during which the motor does net positive work on the flywheel.

Calculate the energy transferred from the flywheel to the press during one punch.

Determine (i) the average motor power between punches and (ii) the motor torque if the average angular speed between punches is $\omega_{\mathrm{avg}} = \dfrac{\omega_A + \omega_B}{2}$.

Explain, with reference to rotational dynamics, why increasing $I$ reduces the variation in angular speed and the peak motor power required.

Determine the instantaneous direction of the induced current in the side of the coil nearest the S pole at $t = 0$. State the rule used.

Sketch the variation of the induced emf $\varepsilon$ with time for one complete rotation starting at $t = 0$. Label axes and indicate zero crossings.

Calculate the amplitude $\varepsilon_{\max}$ of the induced emf.

Suggest two design changes that would increase $\varepsilon_{\max}$ without changing $\omega$. Justify briefly.

At the instant shown, identify which side of the coil experiences an upward magnetic force due to the induced current. Justify using Fleming’s left-hand rule.