Question

A point on the rim of wheel 4 m in diameter has a velocity has a velocity of 1600 cm/s The angular

• A. 2 rad/s
• B. 6 rad/s
• C. 4 rad/s
• D. 8 rad/s

Answer 1

The correct option is D 8 rad/s

$\begin{array}{c}\text{Given, radius of wheel}=\frac{4m}{2}=2m\text{.}\\ \text{and, velocity of a particle at rim}=1600cm/s=16m/s\text{.}\\ \text{Thus, angular velocity}=\frac{\text{linear velocity}}{\text{Radius}}=\frac{16}{2}\text{rad}/s=8\text{rad/s.}\end{array}$