Question

The water moves through a pipe in an ideal flow, as shown in the figure. At the lowest point of the pipe the pressure is P1 = 2.36 x 10^4 Pa and the diameter of the pipe is 3.00 cm. At the other point of the pipe, which is at a height of 0.480 m, the pressure is P2 = 1.25 x 10^4 Pa and the diameter of the pipe is 1.00 cm. Find the speed of water flow (a) at the lowest point of the pipe and (b) at the highest point of the pipe.

Answer 1

According to Bernoulli’s equation,

   …(1)

Using continuity equation,

Substituting this in equation (1), we get