Uploaded by Neel Ghoshal

Dimesional Formulae

advertisement
The Shri Ram School, Aravali
Grade XI
Derived Physical Quantities
S.
No.
1.
Derived Physical
Quantity
Area
Formula
Length x breadth
[
Dimensional
Formula
]
SI Unit of physical
quantity
2.
Volume
Length x breadth x height
[
3.
Density
Mass/volume
[
4.
Specific Gravity
[
5.
Frequency
[
6.
Angle
[
7.
Velocity
[
]
m/s
8.
Speed
[
]
m/s
9.
Areal velocity
[
]
m2/s
10.
Acceleration
[
]
m s-2
11.
Linear momentum
[
]
kg m s-1
12.
Force
[
]
Kg m s-2 or newton (N)
13.
Thrust
Force
[
]
Kg m s-2 or newton (N)
14.
Tension
Force
[
]
Kg m s-2 or newton (N)
15.
Weight
mg
[
]
Kg m s-2 or newton (N)
16.
Force x │ distance
[
]
Kg m2 s-2 or Nm
17.
Moment of force/
Torque/ Couple
Impulse
[
]
kg m s-1 or Ns
18.
Pressure
mass x velocity
[
]
Kg m-3
]
]
No units
]
hertz (Hz)
]
radian (rad)
]
N m-2 or pascal (Pa)
19.
Work
[
]
Nm or joule (J)
20.
Kinetic Energy
[
]
Nm or joule (J)
21.
Potential Energy
Mgh
[
]
Nm or joule (J)
22.
Energy (All)
work
[
]
Nm or joule (J)
23.
Gravitational constant
[
24.
[
]
25.
Gravitational field
strength
Gravitational Potential
[
]
26.
Force constant (k)
[
]
N m-1
27.
Power
[
]
W or J/sec
28.
Stress
[
29.
Strain
[
30.
[
31.
Modulus/coefficient of
Elasticity
Radius of Gyration
32.
Moment of Inertia (I)
33.
Velocity gradient
34.
Rate of flow
35.
Coefficient of viscosity
[
36.
Surface Tension
[
]
Kg m-1 s-1or Pa s or
poiseuille
kg s2 or Nm-1
37.
Surface Energy
[
]
Nm or joule (J)
38.
[
39.
Angular displacement (
)
Angular velocity (ω)
[
]
rad s-1
40.
Angular acceleration (α)
[
]
rad s-2
41.
Angular momentum
Force / increase in length
distance
Mass x (radius of gyration)2
]
]
]
]
Energy of free surface
Iω
Kg m2
]
s-1
]
[M0L3T-1]
[
N m-2or Pa
M
[
Volume / time
N m-2 or Pa
No units
[M0L1T0]
[
kg-1 m3 s-2or N m2 kg-2
m3 s-1
]
]
]
radian (rad)
kg m2 s-1
42.
Torque
43.
Angular frequency
44.
Angular Impulse
45.
Rotational Kinetic
Energy
Temperature
46.
47.
Iα
[
]
Kg m2 s-2 or Nm
2π x frequency
[
]
rad s-1
Iω
[
½ Iω2
[
kg m2 s-1
]
]
Nm or joule (J)
[M0L0T0K1]
48.
Coefficient of linear
expansion(α)
Heat
49.
Specific heat
[
50.
Latent heat
[
51.
Gas constant
[
52.
Pressure Energy
Pressure x volume
[
53.
Pressure Gradient
Pressure / distance
[ML-2T-2]
54.
Trigonometric ratio
55.
kelvin (K)
[
Energy
K-1
]
[
]
Nm or joule (J)
]
J kg-1 K-1
J kg-1
]
]
]
J K-1
Nm or joule (J)
N m-3
Length / length
[
Escape velocity
√2gR
[
]
m/s
56.
Internal Energy
Energy
[
]
Nm or joule (J)
57.
Efficiency
[
58.
Energy density
Output energy / input
energy
Energy / volume
59.
Reynold number
60.
Avogadro number
61.
Boltzmann’s constant
62.
Centripetal acceleration
63.
Critical velocity
64.
Co-efficient of friction
ρDvc
]
no units
]
no units
[ML-1T-2]
J m-3
[
]
no units
No. of atoms/molecules in 1g [
atom/mole
[
]
mole-1
NR =
η
]
J/kelvin
(velocity)2 / radius
[
]
m s-2
NR η / ρD
[
]
m/s
=
[
]
no units
65.
Linear Mass density
66.
Planck’s constant
67.
68.
Distance travelled in nth
second
Refractive index
69.
Focal length(f)
70.
Power of a lens (P)
71.
Wave number
72.
Wave length
Mass / length
[M1L-1T0]
h = E/ν
[
Distance / time
[
μ = c/v
[
kg m-1
]
Js
]
]
m/s
no units
Distance between center of
the lens(mirror) to its focus
1/f
[M0L1T0]
m
[M0L-1T0]
m-1
No. of waves/distance
[M0L-1T0]
Length of a wave
[M0L1T0]
m
Download