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 534: 66

Answer

(a) $19KPa$ (b) $1.96KN$

Work Step by Step

(a) We can find the pressure difference as $P_{in}-P_{out}=\frac{1}{2}\rho(v_{out}^2-v_{in}^2)$ We plug in the known values to obtain: $P_{in}-P_{out}=\frac{1}{2}(1.29Kg/m^3)((170)^2-(0)^2)=19KPa$ (b) We know that $\Delta P=\frac{F}{A}$ This can be rearranged as: $F=\Delta PA$ We plug in the known values to obtain: $F=(18.6\times 10^3Pa)(0.25m)(0.42m)=1.96KN$
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