Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 15 - Fluids - Problems and Conceptual Exercises - Page 535: 91

Answer

$16\frac{m}{s}$

Work Step by Step

We know that $P_1+\frac{1}{2}\rho_{air}v^2=P_2$ This can be rearranged as: $P_2-P_1=\frac{1}{2}\rho_{air}v^2$ $\implies \rho_wgh=\frac{1}{2}\rho_{air}v^2$ This can be rearranged as: $v=\sqrt{\frac{2\rho_{w}gh}{\rho_{air}}}$ We plug in the known values to obtain: $v=\sqrt{\frac{2(1000)(9.81)(0.016)}{1.29}}=16\frac{m}{s}$
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