Question

The bottom of a water tank leaks at a rate given by

Q=0.61A_cs √(2ΔP/ρ)

where Q= rate of leakage, ft3/s
A_cs= cross-sectional area of the leak, ft2
ΔP= pressure difference across the leak, lbf/ft3
ρ= fluid density, lbm/ft3
The constant, 0.61, is dimensionless

a) If A_cs is 10–5 ft2, ΔP is 2500 lbf/ft2, and ρ is 62.4 lbm/ft3, what is Q in gal/day?

b) If you wanted to convert this equation to SI units (Q in m3/s, A_cs in m2, ΔP in N/m2, and ρ in kg/m3, what would be the value of the dimensionless constant?

Answer 1