Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 11 - Fluids - Problems - Page 312: 68

Answer

$0.05\space m^{3}/s$

Work Step by Step

Let's apply Bernoulli's equation to find the speed of the water entering the hold, $P+\frac{1}{2}\rho v^{2}+\rho gh=constant$ $P+\frac{1}{2}\rho v_{1}^{2}+\rho gh_{1}=P+\rho gh_{2}$ $v_{1}=\sqrt {2g(h_{2}-h_{1})}$ ; Let's plug known values into this equation. $v_{1}=\sqrt {2(9.8\space m/s^{2})(2\space m)}=6.26\space m/s$ We know that, Volume flow rate (Q)= Area times speed (Av) $Q=(8\times10^{-3}m^{2})(6.26\space m/s)=0.05\space m^{3}/s$
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