Question

A wheel of radius 14.0 cm starts from rest and turns through 2.0 revolutions

in 3.0s.

a. What is its average velocity?

b. What is the tangential velocity of a point on the rim of the wheel?

Answer 1

Given:

$R=14.0\:\rm cm$

$\omega_0=0$

$N=2$

$t=3.0\:\rm s$

a. The average angular velocity

$$\omega=\frac{2\pi N}{t}=\frac{4\pi}{3.0}=4.2\:\rm rad/s$$

b. The tangential velocity

$$v=\omega R=4.2*14.0=59\:\rm cm/s$$