Question

A ball on the end of a string is spinning around a circle with a radius of 5 centimeters. If in a central angle of radian has been covered, what is the angular speed of the ball?

Answer 1

Angular speed = (1/60) rad/s = 0.01667 rad/s

Linear speed = 0.0833 cm/s = 0.000833 m/s

Step-by-step explanation:

Given,

θ = (1/3) radians

t = 20 s

r = 5 cm = 0.05 m

Angular speed = (Angular Distance covered)/time taken to cover the distance

That is, w = (θ/t)

w = (1/3) ÷ 20 = (1/60) rad/s

Linear speed = (angular speed) × (radius of circular motion)

Linear speed = (1/60) × 0.05 = 0.000833 m/s