From eqs(1) and (2), it is clear that the retarding force is directly proportional to , and 'a'. Eq(1) obtained by Stokes has been confirmed from experiments carried on spherical body. The eq(1) can also be derived from dimensional analysis as given below.
                  
                   
                     ...............(3)
From eq(3), we can obtain x=1, y=1, z=1. Therefore,
                 
                        ...................................(4)
Stokes found that the above constant .

The weight of the spherical body is,
           . ........ ... .... ....... .... ...... .....(5)
Where is the density of the spherical body.

                The upward thrust exerted by the liquid medium on the spherical body is equal to the weight of the medium displaced by the body.