A mass of `5kg` is moving along a circular path or radius `1m`. If the mass moves with 300 revolutions per minute, its kinetic energy would be

Options

A. `250pi^(2)`
B. `100pi^(2)`
C. `5pi^(2)`
D. 0

Answer

A

Explanation

(a) Given, mass =m=5 kg, `" "` Radius =1 m=R
Revolution per minute `omega =300 rev min^(-1)=10pi "rad" s^(-1)`
`rArr "linear speed" =v=omega R`
`=10pi ms^(-1)`
`KE=(1)/(2)mv^(2)=(1)/(2)xx5xx(10 pi)^(2)`
`=100pi^(2)xx5xx(1)/(2)=250 pi^(2) J`