Question

A clown in a circus acts swings a 2.7 kg Metal ball attached to a 72 cm nylon string in a horizontal circle above her head making one revolution in 0.98 seconds what is the tension force exerted on the string of the ball

Answer 1

80 N

Explanation:

The tension in the string in this case would be the resultant force that exists in the string due to the centripetal effect of the swinging ball, that is, it is equal to the centripetal force.

We calculate the centripetal force as follows:

`\begin{gathered} F_c=(mv^2)/(r) \\ T=(mv^2)/(r) \end{gathered}`

Linear velocity is equal to the angular velocity of the ball multiplied by the radius of the ball:

We substitute the velocity to calculate the tension:

`\begin{gathered} T=(2.7\cdot4.62^2)/(0.72) \\ T=80.04\cong80\text{ N} \end{gathered}`

The tension is 80 N