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A cylinder having moment of inertia, whi...

A cylinder having moment of inertia, which is free to rotate about its axis, receives an angular impulse of `J kgm^(2)//s` initially, followed by similar impulse after every `4 s`. What is the angular speed of the cylinder `30 s` after the initial impulse?

A

`(7J)/I`

B

`(8J)/I`

C

`J/I`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
B
There can be a total of eight impulses given to the cylinder in `30 s`.
Using `vecJ=vecL_(f)-vecL_(i)` for every impulse we get
`(8.J)=I=omega-0impliesomega=(8J)/2`
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