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

Explanation

In 30s the cylinder receives 8 angular impulses including the initial 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)`.