In a gear arrangement with a 6-tooth driver and an 18-tooth driven gear, if the driver speed is 1000 RPM, the driven speed is ______ RPM.

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Multiple Choice

In a gear arrangement with a 6-tooth driver and an 18-tooth driven gear, if the driver speed is 1000 RPM, the driven speed is ______ RPM.

Explanation:
In a gear pair, the angular speed of the gears is inversely related to the number of teeth. The relationship is N1 × ω1 = N2 × ω2, so ω2 = ω1 × N1 / N2. With a 6-tooth driver driving an 18-tooth driven gear at 1000 RPM, the driven speed is 1000 × 6/18 = 333.3 RPM. Since the driven gear has three times as many teeth, it must rotate at one third the driver’s speed.

In a gear pair, the angular speed of the gears is inversely related to the number of teeth. The relationship is N1 × ω1 = N2 × ω2, so ω2 = ω1 × N1 / N2. With a 6-tooth driver driving an 18-tooth driven gear at 1000 RPM, the driven speed is 1000 × 6/18 = 333.3 RPM. Since the driven gear has three times as many teeth, it must rotate at one third the driver’s speed.

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