Question #106573

Water flows through a pipe with an area of 13 in2 with a speed of 12 ft/s. It then enters a smaller pipe with an area of 3.1 in2. What is the speed of the water as it flows through the smaller pipe?

Expert's answer

We need to find the speed of the water as it flows through the smaller pipe.

Solution:

Given,

Area of the first pipe = "13 \\space in^2"

Speed of the first pipe = "12 \\space ft\/s"

Are of the small pipe = "3.1 \\space in^2"

By conservation of mass and continuity equation

Area of first pipe "\\times" velocity of the First Pipe = Area of small pipe "\\times" velocity of small pipe

"13 \\times 12 = 3.1 \\times Velocity \\space of \\space small \\space pipe"

velocity of small pipe

"= \\frac {13 \\times 12}{3.1} = \\frac {156}{3.1} =50.32 \\space ft\/s"** Answer:**

speed of the water flowing through the smaller pipe ="50.32 ft\/s"

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