General Subjects (Auxiliaries & Systems) USCG Question #1970 (Set 31)

An 8" diameter wheel is driving a 20" diameter wheel via a pair of belts. The power input is supplied by a 5 HP motor rotating the driving wheel at 300 RPM. If the efficiency of the transmission is 80%, what RPM and torque is delivered to the driven wheel?

Official USCG Answer & Rule Citation

Correct Answer: Option A — 120 RPM at 4 HP

The driven speed is calculated by the ratio of diameters: (8"/20") * 300 RPM = 120 RPM. Power delivered is the input power multiplied by efficiency: 5 HP * 0.80 = 4 HP. This calculation accounts for mechanical losses inherent in belt-driven transmission systems common in shipboard auxiliary machinery.

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