# 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?

Jan 17, 2016

Centripetal Force $\approx 6316.547 N$, directed towards the center.

#### Explanation:

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

$| \vec{F} | = m r {\omega}^{2}$
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.

$\implies | \vec{F} | = 4 {\pi}^{2} m r {f}^{2}$

Plugging in the given values
$| \vec{F} | = 4 {\pi}^{2} \times 2 \times 5 \times {4}^{2}$
$| \vec{F} | \approx 6316.547 N$