Answered: 6) A liquid is flowing through a 57.0…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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6) A liquid is flowing through a 57.0 cm ^ 2 The pipe is then reduced to 16.5 cm ^ 2 speed of the liquid is measured to be 6.05 m/s . What was the speed of the liquid in the larger pipe?

Expert Solution

Step 1

Solution:

Area of the Pipe $(A_{1}) = 57.0 {cm}^{2}$

Reduced Area of pipe $(A_{2}) = 16.5 {cm}^{2}$

Speed of liquid in smaller pipe $(v_{2}) = 6.05 m/s$

Step 2

We know that,

According to the equation of continuity:

The rate of fluid entering the pipe = The rate of the fluid leaving the pipe

$A_{1} v_{1} = A_{2} v_{2} By rearranging the above formula for speed of the larger pipe (v_{2}) : v_{1} = \frac{A_{2}}{A_{1}} \times v_{2} = \frac{16.5}{57.0} \times 6.05 = 1.75 m/s$

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