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HOW TO REMEMBER FORMULA AND CALCULATOR?

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Motor rpm required

motor image credit: Wikipedia.com

Solve the motor rpm required to generate specified torque of 175.07 lb-in and motor 5 hp rating.

Torque (lb-in)
=
HP x 63024

RPM

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Memory recall lesson learned :

RPM = revolution per minute ; 1 hp = 33,000 lb-ft per minute ; 1 revolution = 2π
2π = 6.2832 ; 33,000 /6.2832 = 5252 ; 33,000 lb-ft per minute = 396,000 lb-in per min ; 396,000/6.2832 = 63024 ; FPM = feet per min ; FPM = 0.262 RPM * Diameter in inches