A cylinder of mass `5kg` and radius `30cm`, free to rotate about its axis, receives an angular impulse of `3kg ms^(-1)` initially followed by a similar impulse after every `4s`.
What is the angular speed of the cylinder `30s` after the initial impulse if the cylinder is at rest initially ?

Explanation

In `30s` the cylinder receives 8 angular impulses including the intial impulse
`sumtauxxt=I(omega_(2)-omega_(1))`
`8xx3=(MR^(2))/(2)omega_(2)`(since `omega_(1)=0`)
`8xx3=(5xx(0.3)^(2))/(2)omega^(2)`
On solving `omega_(2)=106.7rads^(-1)`