Table II, (page 4, Fluid Mechanics, Volume 1 by J.F.DOUGLAS & R.D. MATTHEWS, 3rd Edition) Quantity Defining Equation
Geometrical Angle Length Arc/Radius(a ratio)
(including all linear Measurement) Length x Length Area x Length Area x Length Area x Length2 Area Volume First moment of area Second moment of area Strain Kinematic Time Velocity, Linear Acceleration, Linear Velocity, Angular Acceleration, Angular Volume rate of Discharge Dynamic Mass Force Dimensions
Unit
Symbol
M0L0T0
L
radian
meter
rad
m
L2
L3
L3
L4
square meter
cubic meter
meter cubed
meter to fourth power m2
m3
m3
M4
Extension/Length
Distance/time Linear velocity/Time
Angle/time Angular Velocity/Time
Volume/Time L0
a ratio
T
LT‐1
LT‐2
T‐1
T‐2
L3T‐1
second
meter per second meter per second squared radians per second radians per second squared cubic meters per second s
ms‐1
ms‐2
rad s‐1
rad s‐2
m3s‐1
Force/Acceleration
Mass x acceleration
M
MLT‐2
Weight Force MLT‐2
Mass Density Specific Weight Specific gravity Pressure(intensity) Mass/Volume Weight/Volume Density/Density of water
Force/Area ML‐3
ML‐2T‐2
M0L0T0
ML‐1T‐2
kg
N=kgms‐
2
N=kgms‐
2
Kg m‐3
Nm‐3
Stress Force/Area ML‐1T‐2
Elastic Modulus Stress/Strain ML‐1T‐2
Impulse Mass Moment of inertia Momentum, Linear Work,Energy Power Viscosity,Dynamic Force x Time Mass x Length 2 MLT‐1
ML2
kilogram
newton= kilogram meter/second2 newton= kilogram meter/second2 Kilogram per cubic meter newtons per cubic meter a ratio
newtons per square meter=pascal newtons per square meter=pascal newtons per square meter=pascal newtons seconds kilogram‐meter squared Mass x Linear Velocity
Force x Distance
Work/Time Shear stress/Velocity gradient Dynamic viscosity/Density
Energy /Area MLT‐1
ML2T‐2
ML2T‐3
ML‐1T‐1
kilogram meter per seconds newton meter=joule Joule/second=watt kilogram per meter second=10 poise meter squared per second kilogram per second squared Ns
Nm=j
JS‐1=W
Kgm‐1s‐1
Viscosity,kinematic Surface Tension 5
L2T‐1
MT‐2
Nm‐2=Pa
Nm‐2=Pa
Nm‐2=Pa
Ns
Kg m2
m2s‐1
Kgs‐2