Question

A cylinder is rolling purely on a horizontal surface. The velocity of its centre of mass is 10 $\frac{m}{s}$ forward. What is its angular velocity about its central axis if its radius is 5m?

• A. $4\frac{rad}{s}$
• B. $8\frac{rad}{s}$
• C. $2\frac{rad}{s}$
• D. Insufficient data

Answer 1

The correct option is C $2\frac{rad}{s}$

If pure rolling, v = R$\omega$
$\omega =\frac{v}{R}$
$\omega =\frac{10}{5}=2\frac{rad}{s}.$