Imagine that you have been given the job of designing a fountain to be the centrepiece of a new shopping mall on the Gold Coast. The fountain will consist of a single upward jet of water, launched from a pipe of radius 5 mm and length 2 m. The pipe is fed by recycled water, pushed by a pump which produces a pressure difference of 100 000 Pa. What volume of water will come out of the pipe? The viscosity of water is 0.001 Pa s.
A) 0.012 m3 s-1.
B) 98 200 m3 s-1.
C) 1.2x1010 m3 s-1.
D) 1.2 m3 s-1.
E) 12 m3 s-1.ANS

Question

Quizplus · Accepted Answer

The volume flow rate can be calculated using the Hagen-Poiseuille equation for laminar flow through a pipe: Q = (π * r^4 * ΔP) / (8 * η * L). Substituting the given values (r = 0.005 m, ΔP = 100,000 Pa, η = 0.001 Pa s, L = 2 m) into the equation gives approximately 0.012 m³/s.

Imagine That You Have Been Given the Job of Designing