Determine whether the following equation is dimensionally homogeneous or not. where F is the force, µ, is the dynamic viscosity, v 1s the velocity, d is the diameter, p is the density, and Q is the...

Determine whether the following equation is dimensionally homogeneous or not.

where F is the force, µ, is the dynamic viscosity, v 1s the velocity, d is the diameter, p is the density, and Q is the discharge.

The head loss for a pipe flow is expressed as

where
 is the friction coefficient,
 and
 are the length and diameter of the pipe, respectively, v is the average velocity, and
 is the acceleration of gravity. Determine the units of the friction factor,
 If the system of units is changed from SI to BG, explain how this will effect the value of
.