Water (? = 1000 kg/m3) is flowing smoothly through a pipe of diameter of 5.0 cm

Question

Water (? = 1000 kg/m3) is flowing smoothly through a pipe of

diameter of 5.0 cm at a speed of 0.25 m/s. The pipe bends

upward and rising 1.4 meters, it levels out and is narrowed to a

diameter of 2.5 cm. The pressure in the lower segment of the

pipe is

a) Find the velocity of the water moving in the upper segment

of the pipe.

b) Find the pressure in the upper segment of the pipe.

Water (? = 1000 kg/m3) is flowing smoothly through a pipe of diameter of 5.0 cm at a speed of 0.25 m/s. The pipe bends upward and rising 1.4 meters, it levels out and is narrowed to a diameter of 2.5 cm. The pressure in the lower segment of the pipe is 1.7 times 104 N/m2. Find the velocity of the water moving in the upper segment of the pipe. Find the pressure in the upper segment of the pipe.

Explanation / Answer

Part A)

Av = Av

pi(.025)^2(.25) = (pi)(.0125)^2(v)

v = 1 m/s

Part B)
P + pgh + .5pv^2 = P + pgh + .5pv^2

(1.7 X 10^4) + 0 + (.5)(1000)(.25)^2 = P + (1000)(9.8)(1.4) + (.5)(1000)(1)

P = 2811 Pa

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