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An antique carousel that's powered by a large electric motor undergoes constant angular acceleration from rest to full rotational speed in 6 seconds. when the ride ends, a brake causes it to accelerate steadily from full rotational speed to rest in 9.2 seconds. compare the torque that starts the carousel to the torque that stops it.

Respuesta :

during the acceleration the time taken to reach full speed is 6 s

so angular acceleration will be given as

[tex]\alpha = \frac{\omega}{6}[/tex]

now from the same maximum speed it will stop in time t = 9.2 s

so deceleration is given as

[tex]\alpha' = \frac{\omega}{9.2}[/tex]

now we can say initially the torque will be given as

[tex]\tau_1 = I *\frac{\omega}{6}[/tex]

[tex]\tau_2 = I*\frac{\omega}{9.2}[/tex]

now we have

[tex]\frac{\tau_1}{\tau_2} = 9.2/6 = 1.533[/tex]

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