In the same gear arrangement, if the driver is rotating at 720 RPM, the driven gear's speed is ______ RPM.

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Multiple Choice

In the same gear arrangement, if the driver is rotating at 720 RPM, the driven gear's speed is ______ RPM.

Explanation:
In gears that mesh, rotational speeds are inversely related to how many teeth each gear has. The speed ratio equals the inverse of the tooth-count ratio. If the driver is turning at 720 RPM and the driven gear ends up at 480 RPM, the driven gear is rotating 2/3 as fast as the driver. That means the driven gear has more teeth in the ratio 3:2 (driven to driver). Using the speed-ratio relation: ω_driven = ω_driver × (N_driver / N_driven) = 720 × (2/3) = 480 RPM. This is why the driven gear’s speed is 480 RPM.

In gears that mesh, rotational speeds are inversely related to how many teeth each gear has. The speed ratio equals the inverse of the tooth-count ratio. If the driver is turning at 720 RPM and the driven gear ends up at 480 RPM, the driven gear is rotating 2/3 as fast as the driver. That means the driven gear has more teeth in the ratio 3:2 (driven to driver).

Using the speed-ratio relation: ω_driven = ω_driver × (N_driver / N_driven) = 720 × (2/3) = 480 RPM. This is why the driven gear’s speed is 480 RPM.

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