# An object with a mass of 7 kg is revolving around a point at a distance of 4 m. If the object is making revolutions at a frequency of 7 Hz, what is the centripetal force acting on the object?

Apr 27, 2017

The centripetal force is $= 54164.4 N$

#### Explanation:

The centripetal force is

$F = m r {\omega}^{2}$

The mass is $m = 7 k g$

The radius is $r = 4 m$

The angular velocity is $\omega = 2 \pi f = 2 \pi \cdot 7 = 14 \pi r a {\mathrm{ds}}^{-} 1$

So,

The centripetal force is $F = 7 \cdot 4 \cdot {\left(14 \pi\right)}^{2} N$

$= 54164.4 N$