Question

A body performing uniform circular motion completed 140 revolution in a second its angular speed is

Answer 1

Time taken to complete 1 revolution = 1/140 sec

Angular velocity = ω = 2∏ / T = 2 * 22 / 7 * 140 = 880 rad/s

Answer 2

The correct answer to the question is 879.2 rad/sec.

CALCULATION:

As per the question, the body is performing uniform circular motion.

The body completes 140 revolutions per second.

The frequency of a body moving in a circular path is defined as the number of circular rotations taken by the body in one second.

Hence, the frequency of the the body f = $140\ second^{-1}$.

We are asked to calculate the angular speed of the body.

The angular speed of a body is calculated as -

                              Angular speed $\omega=\ 2\pi f$

                                                           $=\ 2\pi\times 140\ rad/sec.$

                                                           $=\ 2\times\ 3.14\times 140\ rad/sec$

                                                           $=\ 879.2\ rad/sec.$   [ans]

Hence, the angular speed of the body is 879.2 rad/sec.