FORMULAS AND CALCULATIONS FOR MOTORS

 FORMULAS AND CALCULATIONS FOR MOTORS

Guidelines (Approximations)

 

·         A motor produces 3 lb. ft. per horsepower at 1800 rpm.

·         A motor produces 4.5 lb. ft. per horsepower at 1200 rpm.

·         A 3-phase motor requires 1 amp per hp at 575 volts.

·         A three-phase motor requires 460 volts and 1.25 amps per horsepower.

·         A 3-phase motor uses 2.5 amps per horsepower at 230 volts.

·         A single-phase motor uses 230 volts and 5 amps per horsepower.

·         A single-phase motor requires 115 volts and 10 amps per horsepower.

Machine Formulas

 

Torque in lb .ft  = HP x 5250
                                
http://www.generatorjoe.net/html/reliance/images/4pxlblack.gif
                                     rpm

Conversion of Temperature

·         Deg C = (Deg F - 32) x 5/9

·          Deg F = (Deg C x 9/5) + 32

·          ºR = 1.8 K + 0.6

·         K = 5/9 (ºR-0.6º)

·          ºF = 1.8ºC + 32º

·         ºC = 5/9 (ºF-32º)

·          ºR = ºF + 460º

·         K = ºC + 273º  

C = Celsius, degrees,ºF = Fahrenheit, degrees,K = Kelvin,ºR = Rankine, degrees

 

  

 Inertia in pounds per square foot equals WK2 , the acceleration time in seconds.

T = Average Acceleration Torque in Lb. Ft.

AC motors' synchronized speed, frequency, and the number of poles

   


 

ns

120 x f/ P

f =

P x ns/120

  P =120 x f/ns

       Horsepower, torque, & speed about one another

  


Motor Stall
 

% Slip =ns - n

              ------------

              ns x 100

Symbols

 

·         I equal current in amps.

·         E = volts of voltage

·         Kilowatts (kW) and kilo-volt-ampere (kVA) are power units.

·         HP stands for horsepower output.

·         n is the motor's revolutions every minute (RPM) speed.

·         RPM stands for revolutions per second or ns.

·         P is the number of poles.

·         CPS stands for cycles per second, or "f."

·         T is the torque in pounds-feet.

·         EFF is efficiency in decimal form.

·         The power factor in decimal form is PF.

Similar Inertia

All rotating components in mechanical systems typically don't spin at the same speed. Therefore, the "equivalent inertia" for every moving component at a specific speed of the prime mover must be determined.

The sum of the WK2 values for each component, expressed in terms of prime mover speed, represents the system's total equivalent WK2.

  WK2EQ = lb.ft2 rpm + 100 lb.ft2 + 3,000 lb.ft2Load

WK2EQ = 3200 lb.ft2

 The WK2, the prime mover, sees when traveling at its speed as the overall WK2 equivalent.

  

Torque accelerating

The amount of energy necessary for keeping the system operating is indicated by the comparable inertia of an adaptable speed drive. However, additional energy is needed to start or accelerate the mechanism.

 


Duty Cycles Sales Orders frequently have a notation made under special characteristics like:

"Appropriate for ten starts per hour,"


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