Question

a sphere of radius r moving with a velocity v under streamline conditions in a viscous fluid experiences a retarding force, F, given by F = Krv where K is constant. Derive the S.I units of K in terms of the base units.

Answer 1

$$[F]=[K][r][v]$$

$$kg\cdot m\cdot s^{-2} =[K](m)(m\cdot s^{-1})$$

$$[K]=kg\cdot m^{-1}\cdot s^{-1}$$