An incompressible fluid is flowing up an incline through a pipe with a constrict

Question

An incompressible fluid is flowing up an incline through a pipe with a constriction. The height of the incline is 5 m and the narrow section of the pipe is above the wide section. The velocity of the fluid in the wide section of the pipe is 4.00 m/s and the velocity of the fluid in the narrow section of pipe is 9.00 m/s. The pressure of the fluid in the wide section is 250 kPa. What is the pressure in the narrow section of the pipe (density of the fluid is 1000 kg/m3)? Please show work step by step how you obtain your answer.

Explanation / Answer

By bernoulli equation... we get = 250 * 10^3 / 1000 * 9.81 + 4^2 / 2*9.81 = P / 1000 * 9.81 + 9^2 / 2 * 9.81 + 10 sin 30 So, P = 168.450 kPa

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