Water flows through a pipe of radius 1 cm and length 1 m. The pressure difference is 100 Pa. What is the rate of flow, in litres per second? The viscosity of water is 0.001 Pa s.
A) 0.39
B) 3.9x10-4
C) 3.1
D) 0.125
E) 390
ANS

Question

Quizplus · Accepted Answer

The rate of flow can be calculated using Poiseuille's Law: Q = (π * r^4 * ΔP) / (8 * η * L). Substituting the given values: r = 0.01 m, ΔP = 100 Pa, η = 0.001 Pa s, L = 1 m, we get Q = (π * (0.01)^4 * 100) / (8 * 0.001 * 1) = 0.00039 m^3/s = 0.39 liters/s.

Water Flows Through a Pipe of Radius 1 Cm and Length