A ball of mass `0.12` kg is being whirled in a horizontal circle at the end of a string `0.5` m long. It is capable of making 231 revolutions in one minute. Find the breaking tension of the string

Options

A. 5.8 N
B. 15.1 N
C. 31.5 N
D. 35.1 N

Answer

D

Explanation

When body preforms circular motion, it is acted upon by a centripetal force the magnitude of which is given by
`T=F =(mv^(2))/(r)=mromega^(2)`
where , m is mass ,v is the velocity and r the radius The breaking tension of the string
`T=mromega^(2)=0.12xx0.5xx((2pixx8231)/(60))^(2)=35.11 N`