Physics (10th Edition)

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

Chapter 11 - Fluids - Problems - Page 312: 65

Answer

96.195 Pa

Work Step by Step

Let's apply the equation $A_{1}v_{1}=A_{2}v_{2}$ to find the velocity at point 1. $A_{1}v_{1}=A_{2}v_{2}$ ; Let's plug known values into this equation $\frac{A_{2}}{4}v_{1}=A_{2}(0.11\space m/s)=>v_{1}=0.44\space m/s$ Now, let's apply Bernoulli's equation to find the pressure difference. $P+\frac{1}{2}\rho v^{2}+\rho gh=Constant$ $P_{1}+\frac{1}{2}\rho v_{1}^{2}+0=P_{1}+\frac{1}{2}\rho v_{2}^{2}+0$ $P_{2}-P_{1}=\frac{1}{2}(1060\space kg/m^{3})[(0.44\space m/s)^{2}-(0.11\space m/s)^{2}]=96.195\space Pa$ The density of blood is taken from table 11.1
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