physics question - dynamic fluids

Question

Water passes through a main pipe with a flow rate of 8.11 m³/s. The water flow is then equally broken up into 4 smaller pipes, each of radius 25.9 cm. How fast is the water traveling through each of the smaller pipes?

Answer 1

Given

Q = 8.11 m^3/s

r = 25.9 cm = 0.259 m

Find:

V on each pipe

Solution

Q = VA

r = 25.9 cm = 0.259 m

A = 4 * pi * r^2 = 4 * pi * (0.259)^2 = 0.8429 m^2 (Area of all pipes, that is why it is multiplied times 4)

V = Q/A = 8.11/0.8429 = 9.62 m/s