Question

A boy whirls a ball on a string in a horizontal circle of radius 0.65 m. If the ball is traveling at 9 m/s, what is the centripetal acceleration

Answer 1

ac = 124.6 m/s²

Step-by-step explanation:

When an object executes a uniform circular motion, acceleration is produced in it due to a change in its direction during the motion. This acceleration is called the centripetal acceleration. The formula used to find this acceleration is given as follows:

`a_(c) = (v^(2))/(r)\\`

where,

ac = centripetal acceleration = ?

v = speed = 9 m/s

r = radius = 0.65 m

Therefore,

`a_(c) = ((9\ m/s)^(2))/(0.65\ m)\\`

ac = 124.6 m/s²