# Chapter 1 - Problems - Page 31: 1.4

The verified dimensions are the following: a) Angular velocity, $FLTsystem: T^{-1}$, $MLTsystem: T^{-1}$ b) Energy, $FLTsystem: FL$, $MLTsystem: ML^{2}T^{-2}$ c) Moment of inertia (area), $FLTsystem: L^{4}$, $MLTsystem: L^{4}$ d) Power, $FLTsystem: FLT^{-1}$, $MLTsystem: ML^{2}T^{-3}$ e) Pressure, $FLTsystem: FL^{-2}$, $MLTsystem: ML^{-1}T^{-2}$

#### Work Step by Step

Using the International System of Units: a)$Angular$ $velocity=\frac{rad}{s}$ $FLTsystem: T^{-1}$ $MLTsystem: T^{-1}$ b)$Energy=J=Nm=\frac{Kgm^{2}}{s^{2}}$ $FLTsystem: FL$ $MLTsystem: ML^{2}T^{-2}$ c)$Moment$ $of$ $inertia(area)=m^{4}$ $FLTsystem: L^{4}$ $MLTsystem: L^{4}$ d)$Power=W=\frac{J}{s}=\frac{Nm}{s}=\frac{Kgm^{2}}{s^{3}}$ $FLTsystem: FLT^{-1}$ $MLTsystem: ML^{2}T^{-3}$ e)$Pressure=\frac{N}{m^{2}}=\frac{Kg}{ms^{2}}$ $FLTsystem: FL^{-2}$ $MLTsystem: ML^{-1}T^{-2}$

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