We have torque is equal to angular acceleration times the momemt of inertia:Originally Posted byGreg E

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where we are working with a set of consistent units. Since it is about 40 years since I used Imperial/Customary units I will convert all units to SI. The mass of your grear is , and the radius of the gear is . We will treat the gear as a disk and assume that the moment of inertia we require is that about its axis so:

So assume a constant torque of is applied for then this results in an angular velocity of:

RonL