Essential University Physics: Volume 1 (4th Edition)

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 15 - Exercises and Problems - Page 290: 39

Answer

277 kPa

Work Step by Step

Please see the attached image first. Here we use the Bernoulli's equation, $P+\frac{1}{2}\rho V^{2}+\rho gy = constant$ Where $P- Pressure$, $\frac{1}{2}\rho V^{2}-Kinetic\space energy\space per\space unit \space volume$, $\rho gy- Gravitational \space potential \space energy \space per\space unit \space volume.$ Let's plug known values into this equation. $P+0+0=P_{0}+\frac{1}{2}\rho V^{2}+0$ $P=10^{5}kg/ms^{2}+\frac{1}{2}\times10^{3}kg/m^{3}\times(18.8\space m/s)^{2}$ $P=276,720 Pa$ $P=277 kPa$ Pressure of the water = 277 kPa
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