Question 336General Subjects - Assistant Engineer70% 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?
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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