Question

PLEASE HELP

A ball, 1.8 kg, is attached to the end of a rope and spun in a horizontal circle above a student's head. As the student rotates the ball in a horizontal clockwise circle their lab partner counts 53 rotations in one minute. What is the ball's angular velocity in radians per second?

Answer 1

The angular speed of the ball in radians per second is 5.55 rad/s.

Step-by-step explanation:

Given;

mass of the ball, m = 1.8 kg

number of the ball's rotation per minute, n = 53 RPM

The angular speed of the ball in radians per second is calculated as follows;

`\omega = 53(rev)/(\min) * (2\pi \ rad)/(1 \ rev) * (1\min)/(60 \ s ) \\\\\omega = 5.55 \ rad/s`

Therefore, the angular speed of the ball in radians per second is 5.55 rad/s.