Question

A wheel of 0.5 m radius rolls without slipping on a horizontal surface. The axle of the wheel advances at constant velocity, moving a distance of 20 m in 5 s. The angular speed of the wheel about its point of contact on the surface is

Answer 1

Answer:

$\omega = 8\,\frac{rad}{s}$

Step-by-step explanation:

The translation speed of the wheel is:

$v=\frac{20\,m}{5\,s}$

$v=4\,\frac{m}{s}$

The angular speed of the wheel is:

$\omega = \frac{4\,\frac{m}{s} }{0.5\,m}$

$\omega = 8\,\frac{rad}{s}$