- #1

Kaushik

- 282

- 17

- Homework Statement
- A thin ring of radius 'r' is made of material which has density ##\rho## and Young's Modulus '##Y##'. If the ring is rotated about its centre and in its own plane with angular velocity ##\omega##, find the small increase in radius.

- Relevant Equations
- Centripetal Force ##= m(\omega)^2r##

##\sigma=Y(\epsilon)##

- The increase in radius is due to the centripetal force acting on the ring. The centripetal force acting on each point of the ring is directed towards its center.
- We can find force using ## F_c = M(\omega)^2R##
- We can use this ##F_c## in the equation of Hooke's Law to find the elongation

Thanks!