 INDUSTRIAL PROCESS INSTRUMENTS AND CONTROLS

## QUICK ESTIMATE 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 =

(Reduction Ratio)2

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