An 8" diameter wheel is driving a 20"...

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Question 1 of 205eccef9dbacbc34ba4d45dcb

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?

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🔍 Key Concepts

• Speed ratio in belt drives: the relationship between driver and driven wheel diameters and their RPMs • Power and efficiency: how input horsepower, output horsepower, and efficiency are related • Torque–power–speed relationship: how torque depends on horsepower and RPM

💭 Think About

• First, how does the RPM of the larger driven wheel relate to the RPM of the smaller driving wheel and their diameters? Set up that proportion. • Next, how do you calculate the output horsepower if you know the input horsepower and the efficiency of the belt system? • Once you know the RPM of the driven wheel and the output horsepower, which formula links torque, horsepower, and RPM so you can compare to the choices?

✅ Before You Answer

• Confirm you used the correct inverse relationship between wheel diameter and RPM (larger wheel turns slower). • Verify the output power is less than the input 5 HP and matches the efficiency specified. • Make sure the chosen option’s speed and power are consistent: if RPM drops, torque must rise for the given output horsepower.

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