# Answer to Question #106573 in Mechanics | Relativity for Adam Y

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?
1
2020-03-27T10:50:13-0400

### Mechanics | Relativity

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"

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

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