# An object with a mass of 2 kg is revolving around a point at a distance of 7 m. If the object is making revolutions at a frequency of 3 Hz, what is the centripetal force acting on the object?

Apr 26, 2018

The centripetal force is $= 4974.3 N$

#### Explanation:

The centripetal force is

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

The mass of the object is

$m = 2 k g$

The radius of the circle is

$r = 7 m$

The frequency of rotation is

$f = 3 H z$

The angular velocity is

$\omega = 2 \pi f = 2 \cdot \pi \cdot 3 = 6 \pi r a {\mathrm{ds}}^{-} 1$

Therefore,

the centripetal force is

$F = 2 \cdot 7 \cdot {\left(6 \pi\right)}^{2} = 4974.3 N$