Physics (10th Edition)

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

Chapter 11 - Fluids - Problems - Page 311: 63

Answer

191580.48 N

Work Step by Step

Let's apply Bernoulli's equation to find the pressure difference. $P+\frac{1}{2}\rho v^{2}+\rho gh= Constant$ Let's plug known values into this equation. $P_{1}+\frac{1}{2}(1.29\space kg/m^{3})(225\space m/s)^{2}+0=P_{2}+\frac{1}{2}(1.29\space kg/m^{3})(251\space m/s)^{2}+0$ $P_{1}-P_{2}=\frac{1}{2}(1.29\space kg/m^{3})[(251\space m/s)^{2}-(225\space m/s)^{2}]=7982.5 Pa$ Lifting force = $(P_{1}-P_{2})A=7982.5\space Pa\times 24\space m^{2}=191580.48\space N$
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