Question

The wheel of a car is running at a speed of $50\text{m/s}$ if the angular speed of the wheel is $500\text{rad/s}$ then, the radius of the wheel is:

• A. $50\text{m}$
• B. $1\text{m}$
• C. $0.1\text{m}$
• D. $0.2\text{m}$

Answer 1

The correct option is C $0.1\text{m}$

The velocity of the wheel and angular velocity are related as
$v=\omega r$
Where $r$ is the radius of the wheel, here
$r=\frac{v}{\omega }=\frac{50}{500}=0.1\text{m}$