Answer
We can rank the flywheels in order of angular speed, from largest to smallest:
$c \gt d \gt a = b = e$
Work Step by Step
In general: $\omega = \frac{2\pi}{T}$
We can find the angular speed of each flywheel:
(a) $\omega = \frac{2\pi}{T} = \frac{2\pi}{0.0040~s} = 1571~rad/s$
(b) $\omega = \frac{2\pi}{T} = \frac{2\pi}{0.0040~s} = 1571~rad/s$
(c) $\omega = \frac{2\pi}{T} = \frac{2\pi}{0.0010~s} = 6283~rad/s$
(d) $\omega = \frac{2\pi}{T} = \frac{2\pi}{0.0020~s} = 3142~rad/s$
(e) $\omega = \frac{2\pi}{T} = \frac{2\pi}{0.0040~s} = 1571~rad/s$
We can rank the flywheels in order of angular speed, from largest to smallest:
$c \gt d \gt a = b = e$
Note that a flywheel with a longer period has a smaller angular speed.
