Answer to Question #291789 in Classical Mechanics for Layla

Question

A 3kg object travels in a uniform circle at a constant speed of 12m/s. The centripetal force acting on the object is 110 Newtons.

Calculate the time required for the the object to complete one full circle.

Answer 1

Given:

$m=3\: \rm kg$

$v=12\: \rm m/s$

$F_c=110\:\rm N$

The cetripetal force

$F_c=\frac{mv^2}{r}$

So, the radius of the circle

$r=\frac{mv^2}{F_c}=\frac{3*12^2}{110}=3.93\: \rm m$

The period of rotation

$T=\frac{2\pi r}{v}=\frac{6.28*3.93}{12}=2.1\:\rm s$