Physics (10th Edition)

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

Chapter 11 - Fluids - Problems - Page 312: 72

Answer

$9576.96\space N$

Work Step by Step

Let's take, Pressure on the top of the wings = $P{1}$ Airspeed on the top of the wings = $v{1}$ Pressure on the bottom of the wings = $P{2}$ Airspeed on the bottom of the wings = $v{2}$ Let's apply Bernoulli's equation to the system. $P+\frac{1}{2}\rho v^{2}+\rho gh=constant$ $P_{1}+\frac{1}{2}\rho v_{1}^{2}+0=P_{2}+\frac{1}{2}\rho v_{2}^{2}+0$ $P_{1}+\frac{1}{2}(1.29\space kg/m^{3})(62\space m/s)^{2}=P_{2}+\frac{1}{2}(1.29\space kg/m^{3})(54\space m/s)^{2}$ $P_{2}-P_{1}=598.56\space Pa$ Lift force = $\Delta PA=598.56\space Pa\times16\space m^{2}=9576.96\space N$
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