Answer
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)$Pressure=\frac{N}{m^{2}}=\frac{Kg}{ms^{2}}$
$FLTsystem: FL^{-2}$
$MLTsystem: ML^{-1}T^{-2}$
