Motors & Drives: A Practical Technology Guide

Appendix B: Formulas and Conversions

General Information

The following information is a summary of typical formulas and conversion factors used in the rotating machinery industry. This information can be used as a basis for sizing drives and evaluating application types and factors.

However, these formulas are to be used for estimating purposes only. They do not include allowance for machine friction, windage, or other machine factors. When sizing a drive, always consider all machine factors (i.e. electrical, mechanical, and environmental) and motor factors (e.g., full load amperes and speed range).

Horsepower Formulas

General Formula


where:

Torque

= lb-ft

Speed

= rpm

5252

= a proportional constant

Conveyors


where:

Force

= force or weight (lb)

Velocity

= fpm


where:

Force

= force or weight (lb)

Velocity

= fpm

Fans and Blowers


where:

BHP

=

CFM

= cubic feet per minute

EffofFan

= efficiency of fan (%/100)

Pressure

= lb/ft 2


where:

BHP

=

CFM

= cubic feet per minute

EffofFan

= efficiency of fan (%/100)

Pressure

= lb/in 2


where:

CFM

= cubic feet per minute

EffofFan

= efficiency of fan (%/100)

PSI

= pressure in inches of water

Pumps


where:

BHP

=

GPM

= gallons per minute

Head

= measurement of pressure in ft

EffofPump

= efficiency of pump (%/100)

SpecificGravity

= 1.0 (water)

Efficiency of pump (positive displacement) may vary between 50 and 80% depending on size

Efficiency of pump (centrifugal)

= 500 to 100 GPM = 70 to 75% 1000 to 1500 GPM = 75 to 80% Over 1500 GPM = 80 to...

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