Question

A solid sphere is rotating about a diameter at an angular velocity `omega`. If it cools so that its radius reduces to `I//n` of its original value, its angular velocity becomes
A. `(omega)/(n)`
B. `(omega)/(n^(2))`
C. `omega n`
D. `n^(2) omega`

Answer 1

`I_(1)omega_(1)=I_(2)omega_(2)`
`(2)/(5)mr^(2)omega=(2)/(5)m((r )/(n))^(2)omega_(2)`
`omega_(2)=n^(2)omega`