An object with a mass of #6 kg# is revolving around a point at a distance of #8 m#. If the object is making revolutions at a frequency of #6 Hz#, what is the centripetal force acting on the object?
The force acting on the object is
We'll start by determining the velocity of the object. Since it is revolving in a circle of radius 8m 6 times per second, we know that:
Plugging in values gives us:
Now we can use the standard equation for centripetal acceleration:
And to finish the problem we simply use the given mass to determine the force needed to produce this acceleration: