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?

Answers

  1. Answer:

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

    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\frac{rev}{\min} \times \frac{2\pi \ rad}{1 \ rev} \times \frac{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.

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