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: 12.8

Answer

The gauge pressure is $3.23\times 10^7~Pa$, which is $319~atm$.

Work Step by Step

We can find the gauge pressure at a depth of 3200 meters. $P_G = \rho~g~h$ $P_G = (1030~kg/m^3)(9.80~m/s^2)(3200~m)$ $P_G = 3.23\times 10^7~Pa$ We can convert the gauge pressure to units of atmospheres. $P_G = ( 3.23\times 10^7~Pa)(\frac{1~atm}{1.013\times 10^5~Pa})$ $P_G = 319~atm$ The gauge pressure is $3.23\times 10^7~Pa$, which is $319~atm$.
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