Home Page

Many components such as clutches, brakes, couplings, drive belts, etc. are used in applications where starting, stopping or reversing of a load is involved. Factors and formulas needed to establish the power requirements are given here.

Kinetic Energy of Relation
Starting from basic equation

E =  mV² .........ft lb                                                                        (1)
        2

where

m is mass =   in slugs i.e. lb/sec²
                   G                     ft
V is velocity in  ft            
                    sec
W = weight in lbs. 
G = gravitational acceleration in ft/sec² 
       (G = 32.2 ft/sec² = 386 in/sec²) 

If we assume that the entire mass is concentrated at the radius of gyration k then we can substitute

V = 2kp ....   ft  where N is in RPM; k is in feet 
       60          sec

Substituting values for V and G in the basic equation we obtain 

E  =  Wk²    N²   =   Wk²N²  ..............ft lb                              (2) 
         G       182.5      5878 

Inertia
In simple terms, Inertia is the property of a body at rest to stay at rest, or in motion to remain in motion.

Expression =   Wk²  =IG is known as mass moment of Inertia and is given in ft. lb. sec².
                     G  

Often, expression Wk² = I in lb. ft² is used as "moment of inertia in weight units”. It is proportional to IG and its proportionality factor G = 32.2 is often lumped with other constants.

T15