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: 1.7

Answer

The verified dimensions are the following: a) Acceleration, $FLTsystem: LT^{-2}$, $MLTsystem: LT^{-2}$ b) Stress, $FLTsystem: FL^{-2}$, $MLTsystem: ML^{-1}T^{-2}$ c) Moment of a force, $FLTsystem: FL$, $MLTsystem: ML^{2}T^{-2}$ d) Volume, $FLTsystem: L^{3}$, $MLTsystem: L^{3}$ e) Work, $FLTsystem: FL$, $MLTsystem: ML^{2}T^{-2}$

Work Step by Step

Using the International System of Units: a)$Acceleration=a=\frac{m}{s^{2}}$ $FLTsystem: LT^{-2}$ $MLTsystem: LT^{-2}$ b)$Stress=\frac{N}{m^{2}}=\frac{Kg}{ms^{2}}$ $FLTsystem: FL^{-2}$ $MLTsystem: ML^{-1}T^{-2}$ c)$Moment$ $of$ $a$ $force=Nm=\frac{Kgm^{2}}{s^{2}}$ $FLTsystem: FL$ $MLTsystem: ML^{2}T^{-2}$ d)$Volume=m^{3}$ $FLTsystem: L^{3}$ $MLTsystem: L^{3}$ e)$Work=J=Nm=\frac{Kgm^{2}}{s^{2}}$ $FLTsystem: FL$ $MLTsystem: ML^{2}T^{-2}$
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