Achild whirls a 3.00 kg ball on a string .50 m from the axis of rotation in a horizontal circle. the ball makes 1 revolution in 1.0 s. a) what is the centripetal acceleration of the ball? b) what is the tension in the string?

Answers:

a)

b)

Explanation:

a) The centripetal acceleration of an object moving in a uniform circular motion is given by the following equation:  

Where:

is the angular velocity of the ball

is the radius of the circular motion, which is equal to the length of the string

Then:

This is the centripetal acceleration of the ball

b) On the other hand, in this circular motion there is a force (centripetal force ) that is directed towards the center and is equal to the tension () in the string:

Where is the mass of the ball

Hence:

This is the tension in the string