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Does the torque vary with different radius or is it only the stress and the defo

ID: 1920947 • Letter: D

Question

Does the torque vary with different radius or is it only the stress and the deformations? because if you apply a torque on a shaft with a gear at the end of the shaft then the torque on that gear is the same as of the shaft, meaning the torque in the innner diameter of the gear(where the shaft is) is the same as the outer diameter of the gear. but i just did a problem where i found that an inner radius of a solid shaft carried 6% of the torque of the whole shaft, so does that not mean the torque increases with radius?? please explain i am very confused.

Explanation / Answer

we kn'ow that,

Torque = Tangential Force acting on the shaft x Radius of the shaft

generally, the torque doesn't vary with radius.

The torque remains same.

As the radius of the shaft is increased, then it requires less tangential Force to produce the same toque and viceversa.

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