Question

If OP makes 4 revolution in one second, the angular velocity in radians per second is

• A. $\pi$
• B. $2\pi$
• C. $4\pi$
• D. $8\pi$

Answer 1

The correct option is D

$8\pi$

Angular velocity $=\frac{\text{Distance}}{\text{Time}}$

$=\frac{4\text{revolutions}}{1\text{second}}=\frac{4\times 2\pi }{1}$

($\because$ 1 revolution = $2\pi$ radians)

$=8\pi$ radians per second