Cities across the U.S. supply fresh water to the residents at constant pressure by the use of water towers. If the diameter, d₂, of the pipe coming out of the tower is 25.0 cm, and the diameter, d₁, of the pipe at your home is 2.00 cm, what is the ratio of the velocity of the water at d₁ compared to d₂? Assume that all the taps are off except yours.

Question

Quizplus · Accepted Answer

The velocity of a fluid is inversely proportional to the cross-sectional area of the pipe. The cross-sectional area is proportional to the square of the diameter. Therefore, the ratio of the velocities is:v1/v2 = (d2/d1)^2 = (25.0 cm/2.00 cm)^2 = 156

Cities Across the U