Repeat Problem 3.12 taking M, L, and T as the fundamental set of dimensions instead of F, L, and T. If the velocity of water (V) flowing through the orifice in the tank (Fig. P3.12) is a function of...

Repeat Problem 3.12 taking M, L, and T as the fundamental set of dimensions instead of F, L, and T.

If the velocity of water (V) flowing through the orifice in the tank (Fig. P3.12) is a function of gravity (g) and the height of the fluid (h):

V = ψ (g, h)

a) Perform a dimensional analysis.

b) By what factor will the velocity change when (h) is doubled?