Question

An object with a mass of `2 kg` is revolving around a point at a distance of `5 m`. If the object is making revolutions at a frequency of `4 Hz`, what is the centripetal force acting on the object?

Answer 1

Centripetal Force `approx6316.547 N`, directed towards the center.

Explanation:

Use the following formula for calculating the centripetal force applicable for circular motion

`| vecF|= m r omega ^2`
where `m` is the mass of the object, `r` is the radius of the circle of motion and `omega` is the angular velocity.
`omega = 2 pi f`, where `f` is the frequency of rotation.

`implies | vecF|=4 pi^2 m r f ^2`

Plugging in the given values
`| vecF|=4 pi^2 xx 2 xx5xx 4 ^2`
`| vecF| approx6316.547 N`