Munson, Young and Okiishi's Fundamentals of Fluid Mechanics, Binder Ready Version 8th Edition

Published by Wiley
ISBN 10: 1119080703
ISBN 13: 978-1-11908-070-1

Chapter 1 - Problems - Page 32: 1.23

Answer

(a) $$0.0757 \frac{\mathrm{m}^{3}}{\mathrm{s}} $$ _____________________________________________________ (b) $$4542.5 \frac{\text { liters }}{\min } $$ _____________________________________________________ (c) $$2.673 \frac{\mathrm{ft}^{3}}{\mathrm{s}} $$

Work Step by Step

(a) $\begin{aligned} \text { flow rate } &=\left[1200 \frac{\mathrm{gal}}{\min }\right]\left[0.003785 \frac{\mathrm{m}^{3}}{\mathrm{gal}}\right]\left[\frac{1}{60} \frac{\mathrm{min}}{\mathrm{s}}\right] \\ &=\left[1200 \frac{\mathrm{gal}}{\min }\right]\left[0.003785 \frac{\mathrm{m}^{3}}{\mathrm{gal}}\right]\left[\frac{1}{60} \frac{\mathrm{mim}}{\mathrm{s}}\right] \\ &=0.0757 \frac{\mathrm{m}^{3}}{\mathrm{s}} \end{aligned}$ _____________________________________________________ (b) $\begin{aligned} \text { flow rate } &=\left[1200 \frac{\mathrm{gal}}{\min }\right]\left[3.78541 \frac{\text { liter }}{\text { gal }}\right] \\ &=\left[1200 \frac{\mathrm{gal}}{\min }\right]\left[3.78541 \frac{\text { liter }}{\mathrm{gal}}\right] \\ &=4542.5 \frac{\text { liters }}{\min } \end{aligned}$ _____________________________________________________ (c) $\begin{aligned} \text { flow rate } &=\left[0.0757 \frac{\mathrm{m}^{3}}{\mathrm{s}}\right]\left[35.3147 \frac{\mathrm{ft}^{3}}{\mathrm{m}^{3}}\right] \\ &=\left[0.0757 \frac{\mathrm{m}^{3}}{\mathrm{s}}\right]\left[3.78541 \frac{\mathrm{f} \frac{\mathrm{f}^{3}}{\mathrm{m}^{3}}}{\mathrm{m}^{8}}\right] \\ &=2.673 \frac{\mathrm{ft}^{3}}{\mathrm{s}} \end{aligned}$
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