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 31: 1.5


The verified dimensions are the following: a) Frequency, $FLTsystem: T^{-1}$, $MLTsystem: T^{-1}$ b) Stress, $FLTsystem: FL^{-2}$, $MLTsystem: ML^{-1}T^{-2}$ c) Strain, $FLTsystem: F^{0}L^{0}T^{0}$, $MLTsystem: M^{0}L^{0}T^{0}$ d) Torque, $FLTsystem: FL$, $MLTsystem: ML^{2}T^{-2}$ e) Work, $FLTsystem: FL$, $MLTsystem: ML^{2}T^{-2}$

Work Step by Step

Using the International System of Units: a)$Frequency=Hz=\frac{1}{s}$ $FLTsystem: T^{-1}$ $MLTsystem: T^{-1}$ b)$Stress=\frac{N}{m^{2}}=\frac{Kg}{ms^{2}}$ $FLTsystem: FL^{-2}$ $MLTsystem: ML^{-1}T^{-2}$ c)$Strain=\frac{m}{m}=Dimensionless$ $FLTsystem: F^{0}L^{0}T^{0}$ $MLTsystem: M^{0}L^{0}T^{0}$ d)$Torque=Nm=\frac{Kgm^{2}}{s^{2}}$ $FLTsystem: FL$ $MLTsystem: ML^{2}T^{-2}$ e)$Work=J=Nm=\frac{Kgm^{2}}{s^{2}}$ $FLTsystem: FL$ $MLTsystem: ML^{2}T^{-2}$
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