a. Explanation Given data: The diameter of first segment is 1.0 cm , diameter of second segment is 2.0 cm , diameter of third segment is 0.50 cm , and speed at first segment is 4.0 m s . Formula used: Write the expression for cross-section area of pipe ( A ) . A = 1 4 π d 2 (1). Here, d is diameter. Explanation: The pipe is shown in Figure 1. From Figure 1, write the equation of continuity. A 1 v 1 = A 2 v 2 (2). A 2 v 2 = A 3 v 3 (3). Here, v 1 is speed in first segment, v 2 is speed in second segment, v 3 is speed in third segment, A 1 is cross-section area of first segment, A 2 is cross-section area of second segment, and A 3 is cross-section area of third segment. Modify the equation (1), for first segment. A 1 = 1 4 π d 1 2 Here, d 1 is diameter of first segment. Modify the equation (1), for second segment. A 2 = 1 4 π d 2 2 Here, d 2 is diameter of second segment. Modify the equation (1), for third segment. A 3 = 1 4 π d 3 2 Here, d 3 is diameter of third segment. Substitute 1 4 π d 1 2 for A 1 and 1 4 π d 2 2 for A 2 in equation (2), 1 4 π d 1 2 v 1 = 1 4 π d 2 2 v 2 Re-arrange the expression. v 2 = 1 4 π d 1 2 v 1 1 4 π d 2 2 = ( d 1 d 2 ) 2 v 1 Substitute 1.0 cm for d 1 , 2.0 cm for d 2 , and 4.0 m s for v 1 , v 2 = ( 1.0 cm 2.0 cm ) 2 ( 4.0 m s ) = ( 0.01 m 0 b. To determine The volume flow rate through pipe.

College Physics: A Strategic Approach (3rd Edition)

3rd Edition

ISBN: 9780321902559

Author: Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field

Publisher: PEARSON

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Density of Solids

The density of a substance refers to how much matter is present in a given amount of space. It is expressed as the ratio of the mass of the substance to its volume.

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Chapter 13, Problem 34P

To determine

The speeds in the second and third segments.

To determine

The volume flow rate through pipe.

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Chapter 13, Problem 33P

Chapter 13, Problem 35P

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Chapter 13 Solutions

College Physics: A Strategic Approach (3rd Edition)

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The speeds in the second and third segments.

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The speeds in the second and third segments.

The volume flow rate through pipe.

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Chapter 13 Solutions