Thermodynamics: An Engineering Approach 8th Edition

Published by McGraw-Hill Education
ISBN 10: 0-07339-817-9
ISBN 13: 978-0-07339-817-4

Chapter 2 - Energy, Energy Transfer, and General Energy Analysis - Problems - Page 99: 2-31E

Answer

$\tau=787.82lbf*ft$

Work Step by Step

First we calculate the angular velocity: $\omega=3000rpm*(\frac{2\pi rad}{1rev})*(\frac{1min}{60s})=314.16\frac{rad}{s}$ And the power is: $450hp*(\frac{550\frac{lb*ft}{s}}{1hp})=247500\frac{lb*ft}{s}$ Now the torque is: $\tau=\frac{W}{\omega}=\frac{247500\frac{lb*ft}{s}}{314.16\frac{rad}{s}}=787.82lbf*ft$
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