A water tank has a volume of 100m^3. A square pipe leading to a pump is designed to completely replace all water in 20 minutes. Caluclate the length of a side of the square if the water is travelling at 5.0m/s through the square pipe.
The volume flow rate is
Q = 100m^3/1200 s = 8.33*10^-2 m/s
That also equals the product of the cross sectional area (a^2) and the flow velocity, V. (a is the length of the side of the square water passage)
0.0833 m^3/s = a^2* 5.0 m/s
Solve for a, which will be in meters