Answer:
the equation is dimensionally consistent
Explanation:
To verify that the formula is dimensionally consistent, we must verify the two terms of the sum and verify that they are units of force. We achieve this by putting the units of each dimensional term of the equation and verifying that the answer is in units of force
μ=viscosity=Ns/m^2
D=diameter
V=velocity
ρ=density=Kg/m^3π
First term
3πμDV=[tex]\frac{N.s.m.m}{m^{2}.s }[/tex]=N
the first term is dimensionally consistent
second term
(9π/16)ρV^2D^2=[tex]\frac{kg.m^2.m^2}{m^3.s^2} =\frac{kg.m}{s^2} =N[/tex]
.
as the two terms are in Newtons it means that the equation is dimensionally consistent
