S. No
|
Physical Quantities
|
Formula
|
Dimensional Formula
|
SI Unit
|
1
|
Area
|
$l * b$
|
$[L]*[L] = [M^0\,L^2\,T^0]$
|
$m^2$
|
2
|
Volume
|
$l*b*h$
|
$[L]*[L]*[L] = [M^0\,L^3\,T^0]$
|
$m^3$
|
3
|
Speed or Velocity
|
$\frac{distance}{time}$
|
$\frac{[L]}{[T]} = [M^0\,L^1\,T^{-1}]$
|
$m/s$
|
4
|
Density
|
$\frac{mass}{volume}$
|
$\frac{[M]}{[L^3]}= [M^1\,L^{-3}\,T^0]$
|
$Kg/m^3$
|
5
|
Acceleration
|
$\frac{velocity}{time}$
|
$\frac{[L\,T^{-1}]}{[T]}= [M^0\,L^{1}\,T^{-2}]$
|
$m/s^{-2}$
|
6
|
Frequency
|
$\frac{no\;of\;vibrations}{time}$
|
$[M^0\,L^{0}\,T^{-1}]$
|
$hertz$
|
7
|
Momentum
(P = MV)
|
$mass * velocity$
|
$[M]*[L\;T^{-1}] = [M^1\,L^1\,T^{-1}]$
|
$kg\,m\,s^{-1}$
|
8
|
Force
|
$mass * acceleration$
|
$[M]*[L\,T^{-2}] = [M\,L\,T^{-2}]$
|
N (Newton)
|
9
|
Impulse
|
force * time
|
[M\,L\,T^{-2}] * [T] = [M\,L\,T^{-1}]
|
N s
|
10
|
Surface Tension
|
$\frac{force}{length}$
|
$\frac{[M\,L\,T^{-2}]}{[L]} = [M\,L^0\,T^{-2}] $
|
$N\,m^{-1}$
|
11
|
Pressure
|
$\frac{force}{area}$
|
$\frac{[M\,L\,T^{-2}]}{[L^2]}$
|
$N\,m^{-2}$ or Pa
|
12
|
Coefficient of Viscosity
|
$\frac{force}{area * velocity\;gradient}$
|
$[M\,L^{-1}\,T^{-1}]$
|
da P (decapoise)
|
13
|
Work
|
force * distance
|
$[M\,L\,T^{-2}]*[L] = [M\,L^2\,T^{-2}]$
|
J (Joule)
|
14
|
Energy
|
work = force * distance
|
$[M\,L\,T^{-2}]*[L] = [M\,L^2\,T^{-2}]$
|
J (Joule)
|
15
|
Power
|
$\frac{Work}{time}$
|
$\frac{[M\,L^2\,T^{-2}]}{[T]} = [M\,L^2\,T^{-3}]$
|
W (Watt)
|
16
|
Gravitational Constant (G)
|
$\frac{force\, *\, (distance)^2}{{mass}^2}$
|
$[M\,L^3\,T^{-2}]$
|
$N\,m^2\,kg^{-2}$
|
17
|
Gravitational Field Strength
|
$\frac{force}{mass}$
|
$[M\,L^1\,T^{-2}]$
|
$N\, kg^{-1}$
|
18
|
Gravitational Potential
|
$\frac{work}{mass}$
|
$[M^0\,L^2\,T^{-2}]$
|
$J\, kg^{-1}$
|
19
|
Force Constant (K)
|
$\frac{F}{L}$
|
$[M\,L^0\,T^{-2}]$
|
$N\, m^{-1}$
|
20
|
Angle
|
$\frac{arc}{radius}$
|
Dimensionless
|
rad
|
21
|
Moment of Inertia
|
$Mass * (distance)^2$
|
$[M\,L^2\,T^0]$
|
$Kg\,m^2$
|
22
|
Angular Momentum
|
Moment of inertia * angular velocity
|
$[M\,L^2]*[T^{-1}]=[M\,L^2\,T^{-1}]$
|
$kg\,m^2\,s^{-1}$
|
23
|
Torque or Couple
|
Force * perpendicular distance
|
$[M\,L\,T^{-2}]*[L] = [M\,L^2\,T^{-2}]$
|
N m
|
24
|
Kinetic Energy
|
$\frac{1}{2}mv^2$
|
$[M\,L^2\,T^{-2}]$
|
J (Joule)
|
25
|
Potential Energy
|
$mgh$
|
$[M\,L^2\,T^{-2}]$
|
J (Joule)
|
26
|
Stress
|
$\frac{force}{area}$
|
$[M\,L^{-1}\,T^{-2}]$
|
$N\,m^{-2}$ or Pa
|
27
|
Strain
|
$\frac{change\;in\;length}{original\;length}$
|
$[M^0\,L^{0}\,T^{0}]$
|
No unit
|
28
|
Modulus of Elasticity
|
$\frac{stress}{strain}$
|
$[M\,L^{-1}\,T^{-2}]$
|
$N\,m^{-2}$ or Pa
|
29
|
Angular Displacement
|
$\frac{arc}{radius}$
|
$[M^0\,L^{0}\,T^{0}]$
|
No unit
|
30
|
Angular Velocity ($\omega$)
|
$\frac{angular\;displacement}{time}$
|
$[M^0\,L^{0}\,T^{-1}]$
|
$rad/sec$
|
31
|
Angular Acceleration
|
$\frac{change\;in\;angular\;velocity}{time}$
|
$[M^0\,L^{0}\,T^{-2}]$
|
$rad/sec^{-2}$
|
32
|
Angular Momentum
|
$I \omega$
|
$[M^\,L^{2}\,T^{-1}]$
|
$kg\,m^2\,sec^{-1}$
|
33
|
Angular Impulse
|
$I \omega$
|
$[M^\,L^{2}\,T^{-1}]$
|
$kg\,m^2\,sec^{-1}$
|