[填空题]
In an amusement park, yb 163+l u6elz l 26tm s.)ctdtljol9cchildren enjoy a carousel ride th6g bqzx*8w1)x+ kc sliat has a rotating platform and seats in the shape of horses on the platform. Some of the horses are closer b+) lxc1iwxg 8zqks *6to the centre of the platform. A top view of the ride is shown below.
1.After accelerating to a certain angular velocity, the torque of the motor that rotates the carousel is equal to the torques of the opposing forces.
The carousel makes 20 revolutions in 5.0min. Determine the angular velocity of the carousel. ω = $rads^{-1}$
2.(1)State the law of conservation of angular momentum.
(2)During the ride, some children on the outer horses move to horses that are closer to the centre. Explain the effect this could have on the angular velocity of the carousel.
3.Another carousel is moving with an angular velocity of $0.35\,rads^{−1}$. In an instant, the magnitude of the rate of change of moment of inertia due to a child moving towards the centre is $24\,kgm^2s^{−1}$. Determine the net torque acting on the carousel during the motion of the child. $τ$ = Nm
