Question 336General Subjects - Assistant Engineer

70% to pass

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?

A120 RPM at 4 HP
B160 RPM at 4 HP
C220 RPM at 4.5 HP
D220 RPM at 4.8 HP
AI Explanation

The correct answer is A) 120 RPM at 4 HP. To arrive at this answer, we need to apply the principles of gear ratio and power transmission efficiency. Given: - Driving wheel diameter: 8 inches - Driven wheel diameter: 20 inches - Motor power: 5 HP - Motor speed: 300 RPM - Transmission efficiency: 80% Using the gear ratio formula (Driven wheel RPM = Driving wheel RPM * Driving wheel diameter / Driven wheel diameter), we can calculate the driven wheel RPM as 120 RPM. Since the transmission efficiency is 80%, the output power delivered to the driven wheel is 4 HP (80% of the 5 HP input). The other options are incorrect because they do not correctly apply the gear ratio and transmission efficiency principles.

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Official Resources
46 CFR Machinery & Electrical 46 CFR Engineering USCG National Maritime Center
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