dyno dynamometer servo drive clutch brake electric brakes position control web tension control oil shear e-stop brake clutches


Designers Toolbox: Useful Formulas & Conversions

 

Useful Formulas

Torque
T=Force * Radius

T (Lb.In.)=Hp * 63000/N

T (Lb.Ft.)=Hp * 5250/N

Hp=Horsepower

N=Revolutions per Minute

Dynamic Torque (Lb.In.)
Clutch = {(Wk2 * N * 12)/308ta) + TL} * 1/E

Brake = {(Wk2 * N * 12)/308td) + TL} * E

Wk2 = Inertia (Lb.Ft.2)

N = Change in RPM

ta = Accel time (Sec.)

td = Decel. time (Sec.)

TL = Load Torque

E = Efficiency

Horsepower
Hp = T * N/63000

Hp = T * N/5250

T = Torque (Lb.In.

N = Revolutions per Minute

T = Torque (Lb.Ft.)

N = Revolutions per minute

Thermal Energy per Engagement
Clutch = TEc = 1.7 * Wk2 * ([N2-N1)/100]2 * Tdc/(Tdc-TL)

Brake = TEb = 1.7 * Wk2 * (N1/100)2 - (N2/100)2 * Tdc/(Tdc-TL)

WK2 = Inertia (Lb.Ft.2)

N1 = Beginning Speed

N2 = Final Speed

TDc - Dynamic Torque (Clutch)

TDb = Dynamic Torque (Brake)

TL = Load Torque

Average Thermal Horsepower
THP = {(TEc + TEb) * CPM}/33,000 TEc = Thermal Energy (Clutch)

TEb = Thermal Energy (Brake)

CPM = Cycles per Minute

Horsepower Sec. per Min.
Hp Sec./Min. = (TEb * CPM)/550

TEb = Thermal Energy (Brake)

WK2 Inertia
Concentrated Weight WK2 = WR2

Translating Weight WK2 = WR2

W = Weight (Lbs.)

R = Radius (Inches)

Uniform disc WK2 = {(¶D2/4) * L * Lb.In.3} * (R2/2) D = Diameter in In.

L = Length in In.

R = Radius in In.

Hollow Cylinder WK2 = {¶ {[(Do2-Di2)/4] * L * Lb.In.3} * (Ro2 + Ri2)/2 Do = Outside Diameter (Ins.)

Di = Inside Diameter (Ins.)

Ro = Outside Radius (Ins.)

Ri = Inside Radius (Ins.)

L = Length

Conversions

English-Metric Conversions  Useful Formulas  Inertia  Motor Formulas  Motor Information

Multiply the Base Unit by the Factor to obtain the desired Conversion

Measurement Base Unit Factor Conversion
Length Millimeter (mm) .03937 Inch. (In.)
Torque Pound-Feet (Lb.Ft.) 1.355818 Newton-Meter (Nm)
Newton-Meter (Nm) .73756 Pound-Feet (Lb.Ft.)
Ounce-Inch (Oz.In.) .007062 Newton-Meter (Nm)
Newton-Meter (Nm) 141.603 Ounce-Inch (Oz.In.)
Moment of Inertia Pound-Feet Squared (Lb.Ft.^2 .042 Kilogram-Meter-Squared (Kgm^2)
Kilogram-Meter-Squared (Kgm^2) 23.81 Pound-Feet Squared (Lb.Ft.^2
Energy Foot-Pound (Ft.Lb.) 1.355818 Joule (J)
Joule (J) .73756 Foot-Pound (Ft.Lb.)
Force Pound (Lb.) 4.448222 Newton (N)
Newton (N) .224808 Pound (Lb.)
Power Horsepower (Hp) .7457 Kilowatt (Kw)
Kilowatt (Kw) 1.341 Horsepower (Hp)
Thermal Capacity Horsepower-Seconds per Minute (Hp-Sec/Min) 12.42854 Watts (W)
Watts (W) .08046 Horsepower-Seconds per Minute (Hp-Sec/Min)
Temperature Degrees Fahrenheit (F) (F-32)*5/9 Degrees Celsius (C)
Degrees Celsius (C) (C*9/5)+32 Degrees Fahrenheit (F)

About Us  I  Products  I  What's New  I  Catalogs & Manuals  I  Designers Toolbox  I  Contact Us  I  Site Map  I  Home
© Copyright 2003 Force Control. All Rights Reserved.