In a gear drive with 4-tooth driver and 16-tooth driven gear, if the input torque is 4 ft-lbs, the output torque is ______ ft-lbs.

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Multiple Choice

In a gear drive with 4-tooth driver and 16-tooth driven gear, if the input torque is 4 ft-lbs, the output torque is ______ ft-lbs.

Explanation:
When a small gear drives a larger gear, the torque increases by the gear ratio. The ratio is the driven gear’s teeth divided by the driver gear’s teeth. Here, 16 teeth on the driven gear vs 4 teeth on the driver gear gives a ratio of 16/4 = 4. Multiply the input torque by this ratio: 4 ft-lbs × 4 = 16 ft-lbs. So the output torque is 16 ft-lbs (assuming no losses; real systems have small reductions due to efficiency).

When a small gear drives a larger gear, the torque increases by the gear ratio. The ratio is the driven gear’s teeth divided by the driver gear’s teeth. Here, 16 teeth on the driven gear vs 4 teeth on the driver gear gives a ratio of 16/4 = 4. Multiply the input torque by this ratio: 4 ft-lbs × 4 = 16 ft-lbs. So the output torque is 16 ft-lbs (assuming no losses; real systems have small reductions due to efficiency).

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