Question

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

Answer 1

(a) Given, mass=m=5kg
Radius=1m=R
Revolution per minute `omega=300"rev/min"`
`(300xx2pi)"rad/min"`
`=(300xx2xx314)"rad/60s"`
`(300xx2xx3.14)/(60)"rad/s"=10pi"rad/s"`
linear speed=v=`omegaR`
`((300xx2pi)/(60))(1)=10pim//s`
`KE=(1)/(2)xx5xx(10pi)^(2)`
`100pi^(2)xx5xx(1)/(2)`
`=250pi^(2)J`