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QUICK ESTIMATE FORMULAS

Horsepower Formulas
Torque Formulas
AC Motor Formulas
3-Phase Electrical Formulas

HORSEPOWER FORMULAS
For Rotating Objects

HP =

Where T = Torque (lbft)
N = Speed (rpm)
 
Objects in Linear Motion HP =

Where F = Force (lbs)
V = Velocity (ft/min)
 
For Pumps HP =

 
  HP =

  Where

GPM = Gallons per Minute
Head = Height of Water (ft)
Efficiency of Pump = %/100
PSI = Pounds per Inch

Specific Gravity of Water = 1.0
1 CuFt per Sec. = 448 GPM
1 PSI = A Head of 2.309 ft (water weight)
62.36 lbs per CuFt at 62°F

 
For Fans and Blowers HP =

 
  HP =

 
  HP =

  Where CFM = Cubic Feet per Minute
PSF = Pounds per Square Foot
PIW = Inches of Water Gauge
PSI = Pounds per Square Inch
Efficiency of Fan = %/100
 
For Conveyors HP (verticle)
 
  HP (horizontal)
  Where

F = Force (lbs)
V = Velocity (ft/min)

Coef. of Friction
• Ball or Roller Slide = 0.02
• Dovetail Slide = 0.20
• Hydrostatic Ways = 0.01
• Rectangle Ways with Gib = 0.01 to 0.25


TORQUE FORMULAS
  T = HP x 5252
   

N

  Where T = Torque (LbFt)
HP = Horsepower
N = Speed (rpm)
 
  T = F x R
  Where T = Torque (LbFt)
F = Force (Lbs)
R = Radius (Ft)
 
  Ta (accelerating) WK2 x Change in RPM
   

308 x t (Sec)

  Where

Ta = Torque (LbFt)
WK2 = Inertia at Motor Shaft (LbFt)2
t = Time to Accelerate (Sec)

Note:
To change LbFt2 to InLbSec2, Divide by 2.68
To change InLbSec2 to LbFt2, Mult. by 2.68


AC MOTOR FORMULAS
  Sync Speed = Freq x 120
    Number of Poles
  Where Sync Speed = Synchronous Speed (Rpm)
Freq = Frequency (Hz)
 
  % Slip = (Sync Speed - FL Speed) x 100
   

Sync Speed

  Where FL Speed = Full Load Speed (Rpm)
Sync Speed = Synchronous Speed (Rpm)
 
  Reflected WK2 =

WK2 of Load

    (Reduction Ratio)2
     
 
 

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