Question

A clown in a circus act swings a 2.7-kg metal ball attached to a 72.0-cm nylon string in a horizontal circle above her head, making one revolution in 0.98 s. What is the tension force, Ft, exerted on the string by the ball?​

Answer 1

Tension, Ft = 79.91 N

Step-by-step explanation:

The tension in the string is the resultant force that exists in the string due to the centripetal effect of the swinging ball.

From conservation laws, the tension in the string will be equals to the centripetal force acting on the string.

The tension in a string can be obtained using the formula:

`T=mv^2/R`

where v = linear velocity of the metal ball which equals to the angular velocity of the ball X the radius of the ball.

The radius of the ball is given as 72 cm = 0.72m and the angular velocity = 1.02 rad/second.

Therefore, linear velocity,
`v = 2\pi * 1.02* 0.72 =4.616m/s`

The tension in the string will now be equals to
`2.7 * 4.616^2 /0.72 =79.91N`