(b) In reality, the angular speed of a baggage carousel does not change. Therefo
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Question
(b) In reality, the angular speed of a baggage carousel does not change. Therefore, what must be the external torque acting on the system if ten bags are dropped each minute?
IT IS NOT 1.262
2- An electric motor can accelerate a Ferris wheel of moment of inertia I = 18500 kg·m2 from rest to 9.9 rev/min in 12.0 s. When the motor is turned off, friction causes the wheel to slow down from 9.9 to 7.9 rev/min in 10.0 s. (a) Determine the torque generated by the motor to bring the wheel to 9.9 rev/min. IT IS NOT 1590 or 1598
Explanation / Answer
1)since bags reloded vertically they do not add to the tangential momentum of the carousel.
angular momentum=Iw unit=MR^2
for each bag i=29.0*1.80^2=93.96kg.m^2
for 10 bage is 93.96kg.m^2
applying law of conservation of momentum and assuming final angular velocity.
momentum before=1500*0.29
=435kgm^2/s
momentum after=1500*969=1453
=1453=435
=1453/435
=3.340rad/sec.
2)angular acceleration=a=[9.9rpm*2*3.14]/[12*60]
=0.086rad/s^2
torque=i*a=18500*0.086
=1591N*M
inital energy=(1/2)*i*w^2=w=9.9
=77966.9rad/sec
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