Question

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

• A. $250{\pi }^2$
• B. $100{\pi }^2$
• C. $5{\pi }^2$
• D. $0$

Answer 1

The correct option is A $250{\pi }^2$

Angular Velocity $=\omega =300\times 2\pi /60=10\pi$

Kinetic Energy $=\frac{1}{2}.\times m\times r\times {\omega }^2=0.5\times 5\times 1\times (10\pi {)}^2=250{\pi }^2$

Hence correct answer is option $A$