An object with a mass of #15 kg# is revolving around a point at a distance of #16 m#. If the object is making revolutions at a frequency of #15 Hz#, what is the centripetal force acting on the object?

1 Answer
Jan 29, 2017

Answer:

I got:
#F_c=1,932,407N#

Explanation:

We start remembering that centripetal force is:

#F_c=mv^2/r#

To evaluate the velocity we use frequency and we consider that our object is making 15 revolutions in 1 second so we get that it takes:
#1/15=0.07s# to complete one revolution that represents a distance along a circle of #2pir=2*3.14*16=100.53~~100.5m#.
Velocity will then be: #v=100.5/0.07=1435.7m/s#

So we get:
#F_c=15*(1435.7)^2/16=1,932,407N#