Water is flowing at 50L/s in a horizontal pipe that is 5 cm in diameter. The ini

Question

Water is flowing at 50L/s in a horizontal pipe that is 5 cm in diameter. The initial pressure is 50 kpa. The pipe drops 2 meters and expands to a diameter of 6cm. Calculate the following:
A. Initial velocity of the water in m/s B. Final velocity of the water in m/s C. Final pressure of the water in kpa Water is flowing at 50L/s in a horizontal pipe that is 5 cm in diameter. The initial pressure is 50 kpa. The pipe drops 2 meters and expands to a diameter of 6cm. Calculate the following:
A. Initial velocity of the water in m/s B. Final velocity of the water in m/s C. Final pressure of the water in kpa
A. Initial velocity of the water in m/s B. Final velocity of the water in m/s C. Final pressure of the water in kpa

Explanation / Answer

1 L = 1000 cm^3 = 10^-3 m^3

A) Volume rate = A1*v1

3.14*0.025*0.025*v = 50 = 50*10^-3

v = 25.48 m/s

B) A1*v1 = A2*v2

v2 = A1*v1/A2 = 17.69 m/s

C) P2 - P1 = 0.5*rho*(V1^2 - v2^2)

P2 -P1 = 0.5*1000*((25.48*25.48)-(17.69*17.69)) = 168.15

P2 = 218.15 kPa

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