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

Question

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?

Answer 1

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

$$= \frac {13 \times 12}{3.1} = \frac {156}{3.1} =50.32 \space ft/s$$

Answer:

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