# An object with a mass of 3 kg is revolving around a point at a distance of 4 m. If the object is making revolutions at a frequency of 6 Hz, what is the centripetal force acting on the object?

Jan 4, 2016

Centrifugal force = 17054.67 N

#### Explanation:

Given:
mass m = 3 kg
$F = \frac{m {v}^{2}}{r} = m r {\omega}^{2}$
$\omega = 2 \pi f$
$\omega = 2 \pi \cdot 6$ rad/s
$F = m r {\omega}^{2} = 3 \cdot 4 \cdot {\left(12 \pi\right)}^{2}$
$F = 17054.67 N$