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# Water is flowing in a pipe with a circular cross section ISBN: 9780321675460 31

## Solution for problem 37E Chapter 12

University Physics | 13th Edition

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Problem 37E

Water is flowing in a pipe with a circular cross section but with varying cross-sectional area, and at all points the water completely fills the pipe. (a) At one point in the pipe the radius is 0.150 m. What is the speed of the water at this point if water is flowing into this pipe at a steady rate of 1.20 m3/s? (b) At a second point in the pipe the water speed is 3.80 m/s. What is the radius of the pipe at this point?

Step-by-Step Solution:

Solution 37E Step 1 : Water is flowing through pipe with varying cross sectional area is shown below . Step 2: Let r is the radius at the point P where the cross sectional area A 2 From continuity equation A v = A v 1 1 2 2 3 Water is flowing in ,through P with a steady rate of 1.20m /s A v = 1.20m /s 3 1 1 1.20 = A v 2 2 1.20 = ( r ) v2 2 2 =(. (0.150) ). V 2 Step 3: From the above equation we can find out the v 2 V = 1.20 2 (. (0.150)2 ) = 1.20m3/s 0.07065m2 =16.985m/s

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##### ISBN: 9780321675460

This full solution covers the following key subjects: pipe, Water, point, radius, speed. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “Water is flowing in a pipe with a circular cross section but with varying cross-sectional area, and at all points the water completely fills the pipe. (a) At one point in the pipe the radius is 0.150 m. What is the speed of the water at this point if water is flowing into this pipe at a steady rate of 1.20 m3/s? (b) At a second point in the pipe the water speed is 3.80 m/s. What is the radius of the pipe at this point?” is broken down into a number of easy to follow steps, and 86 words. This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 37E from chapter: 12 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 37E from 12 chapter was answered, more than 487 students have viewed the full step-by-step answer.

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