Question

the rotor of an electric motor has a mass, m, 180 kg and a radius of gyration, k, 150 mm. Calculate the torque required to accelerate it from rest to 1,500 revs/min in 8 s. Neglect friction.

          the rotor of an electric motor has a mass, m, 180 kg and a radius of gyration, k, 150 mm. Calculate the torque required to accelerate it from rest to 1,500 revs/min in 8 s. Neglect friction.
        

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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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the rotor of an electric motor has a mass, m, 180 kg and a radius of gyration, k, 150 mm. Calculate the torque required to accelerate it from rest to 1,500 revs/min in 8 s. Neglect friction.
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Transcript

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00:01 So we're told that this electric motor has a mass of 25kg, or the rotor.
00:12 It has a, it is said that it's going to take 4 .2 minutes for it to coast.
00:21 No, that's not right.
00:22 Yeah, 4 .2 minutes to coast to rest.
00:26 So we have a change in t of 4 .2 minutes, which if we multiply it by 60, we get 252 seconds.
00:52 We also have an angular velocity of 36, an initial angular velocity of 3 ,600 rpm.
01:05 This is the same thing as if we divide by 60 and multiply by 2 pi radians, we get 377 you have 377 radiance per second.
01:53 So we are being, and we also have a couple that is producing a torque of 1 .2 newton meters.
02:01 So we're being asked, what is the k value? what is the centroidal radius of gyration? so to do this, we're going to note that torque is equal to, we're going to use impulse momentum theorem here.
02:22 So the torque times the change in time is going to be equal to the change in l.
02:29 So the torque is equal to k squared m.
02:37 No, wait, we have a value for torque...
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