Question

Ivy wants to jump unto the merry-go-round at the park. The merry-go-round has a diameter of 4 metres

and makes 14 revolutions every minute. Find the EXACT angular velocity of the merry go round.

Answer 1

Angular velocity of the merry go round. = 1.47 radians per second

Explanation:

To find the angular velocity, measure their revolutions per minute (n) and radius of (R).

Here R = 2 meters, n = 14

Linear velocity =
`(2\pi n )/(60)` R

By substituting the values in the above equatiom, we get

Linear velocity = 2.93 m/s

Angular velocity =
`(2.93)/(2)` = 1.47 radians per second