Answer
a) $\theta=2200rad$
b) $\theta=2800rad$
c) $\theta=2500rad$
Work Step by Step
We have: Initial velocity $\omega_0=+220rad/s$, final speed $\omega=+280rad/s$ and time $t=10s$
a) The engine's angular displacement if $\omega=+220rad/s$ is $$\theta=\omega_0\times t=2200rad$$
b) The engine's angular displacement if $\omega=+280rad/s$ is $$\theta=\omega_0\times t=2800rad$$
c) The actual displacement is $$\theta=\Big(\frac{\omega+\omega_0}{2}\Big)t=2500rad$$
