The rotational work done by a rotating disk like a gear is \({ }^{1} W=\tau \theta\), where \(\tau\) is the torque applied to the gear, and \(\theta\) is the angle through which the gear is turned. It...The rotational work done by a rotating disk like a gear is \({ }^{1} W=\tau \theta\), where \(\tau\) is the torque applied to the gear, and \(\theta\) is the angle through which the gear is turned. It is also equal to the ratio of the angular speeds of the input to output gears; to the ratio of the output to input gear radii \(\left(r_{R} / r_{E}\right)\); and to the ratio of the number of teeth in the output gear to the number of teeth in the input gear \(\left(N_{R} / N_{E}\right)\).
