In a gear drive with a 4-tooth driver gear and an 16-tooth driven gear, the gear ratio is ______.

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Multiple Choice

In a gear drive with a 4-tooth driver gear and an 16-tooth driven gear, the gear ratio is ______.

Explanation:
Gear ratio shows how the output speed relates to the input speed based on the teeth counts. It is found by dividing the driven gear’s teeth by the driver gear’s teeth. With 16 teeth on the driven gear and 4 teeth on the driver, the ratio is 16 ÷ 4 = 4.0. This is a 4:1 reduction, so the driven gear runs at one quarter the speed of the driver and the torque is increased by about a factor of four (ignoring losses). The gears rotate in opposite directions. Therefore, the gear ratio is 4.0.

Gear ratio shows how the output speed relates to the input speed based on the teeth counts. It is found by dividing the driven gear’s teeth by the driver gear’s teeth. With 16 teeth on the driven gear and 4 teeth on the driver, the ratio is 16 ÷ 4 = 4.0. This is a 4:1 reduction, so the driven gear runs at one quarter the speed of the driver and the torque is increased by about a factor of four (ignoring losses). The gears rotate in opposite directions. Therefore, the gear ratio is 4.0.

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