Question

A 23.0 kg child is riding a playground merry-go-round that is rotating at 30.0 rpm. What centripetal force, in N, must she exert to stay on if she is 2.00 m from its center

Answer 1

The value is
`F = 454 \ N`

Step-by-step explanation:

From the question we are told that

The mass of the child is
`m = 23.0 \ kg`

The angular velocity is
`w = 30 \ rpm = (2 \pi * 30 )/(60) = 3.142 \ rad/s`

The distance from the center is
`r = 2.0 \ m`

Generally the centripetal force is mathematically represented as

`F = m * w^2 * r`

=>
`F = 23 * 3.142 ^2 * 2`

=>
`F = 454 \ N`