Question

The angular velocity of a particle rotating in a circular orbit 100 times per minute is

• A. 1.66 rad/s
• B. 10.47 rad/s
• C. 10.47 deg/s
• D. 60 deg/s

Answer 1

The correct option is B. 10.47 rad/s.

Given,

Number revolutions = $n=100$

Time = $T=1min=60s$

We know that,

$\omega =2\pi \times \frac{n}{T}$

$\omega =2\pi n=\frac{2\pi \times 100}{60}=10.47rad/s$