Answer
(a) $31.4~rad/s$
(b) $55~inches/s$
(c) same
Work Step by Step
(a) We can find the angular speed as follows:
$\omega=\frac{2\pi}{T}$
We plug in the known values to obtain:
$\omega=\frac{2\pi}{0.20s}$
$\omega=31.4rad/s$
(b) The linear speed can be determined as
$v=r\omega$
We plug in the known values to obtain:
$v=(1.75inch)(31.4rad/s)$
$v=55inches/s$
(c) Since we know that the angular speed is independent of the distance from the axis of rotation, the the angular speed will be the same as found in part(a).
