University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 12 - Fluid Mechanics - Problems - Exercises - Page 391: 12.7

Answer

The pipe weighs 61.6 N.

Work Step by Step

We can find the volume of copper used for the pipe. Let $R_1$ be the inside radius and let $R_2$ be the outside radius. $V = \pi~R_2^2~L - \pi~R_1^2~L$ $V = \pi~L~(R_2^2 -R_1^2)$ $V = (\pi)(1.50~m)~[(0.0175~m)^2 -(0.0125~m)^2]$ $V = 7.07\times 10^{-4}~m^3$ We can find the mass of the pipe. $M = \rho~V$ $M = (8.90\times 10^3~kg/m^3)(7.07\times 10^{-4}~m^3)$ $M = 6.29~kg$ We can find the weight of the pipe. $weight = Mg$ $weight = (6.29~kg)(9.80~m/s^2)$ $weight = 61.6~N$ The pipe weighs 61.6 N.
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