A wheel with radius $0\mathrm{.}0600$ mm rotates about a horizontal frictionless axle at its center. The moment of inertia of the wheel about the axle is $2\mathrm{.}50$ kg$$m$2$kg$$m$2.$ The wheel is initially at rest. Then at t$=0$t$=0$ a force F$($t$)=(7\mathrm{.}00$N$/$s$)$tF$($t$)=(7\mathrm{.}00$N$/$s$)$t is applied tangentially to the wheel and the wheel starts to rotate.

Part A

Part complete

What is the magnitude of the force at the instant when the wheel has turned through $8\mathrm{.}00$ revolutions?

Part A

Part complete

What is the angular speed of the gate just after it is struck by the unfortunate raven?