Multiple choice gear torque

Two mating spur gears have 40 and 120 teeth respectively. The pinion rotates at 1200 rpm and transmits a torque of 20 Nm. The torque transmitted by gear is

  1. 7.0 Nm

  2. 20 Nm

  3. 35 Nm

  4. 60 Nm
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D Correct answer
Explanation

The gear ratio is the ratio of the number of teeth on the gear to the pinion (120/40 = 3). Since torque is proportional to the gear ratio, the torque on the gear is 3 times the torque on the pinion (20 Nm * 3 = 60 Nm).

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