Download - Units Dimensions Error 3
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Units and Dimensions
Units Dimensions Error 3
ofPhysical Quantities
Mechanical Quantities in [ M L T ]
Thermal Quantities in [ M L T K ]
Electrical Quantities in [ M L T A ]
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Units Dimensions Error 3
Fundamental Quantities
1 0 0[ ]M L T01 Mass Fundamental Kilogram
Sl. No Physical Quantity Equation Unit Dimensions
0 1 0[ ]M L T02 Length Fundamental Meter
0 0 1[ ]M L T03 Time Fundamental Second
0 0 0 1[ ]M L T A
04
Electric current Fundamental Ampere
0 0 0 1[ ]M L T K
05
Temperature Fundamental Kelvin
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Units Dimensions Error 3
Derived Quantities
0 1 1[ ]M L T 06 Velocity
Sl. No Physical Quantity Equation Unit Dimensions
0 1 2[ ]M L T 07 Acceleration
1 1 1[ ]M L T 08 Momentum
1 1 2[ ]M L T 09 Force Newton
1 2 2[ ]M L T 10 Work Joule
v S t 1.m s
a v t 2.m s
.p m v 1. .kg m s
.F m a
.W F S
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Units Dimensions Error 3
Derived Quantities
1 2 3[ ]M L T 11 Power
Sl. No Physical Quantity Equation Unit Dimensions
1 1 2[ ]M L T 12 Pressure
1 1 1[ ]M L T 13 Impulse
1 2 2[ ]M L T 14 Torque
1 3 0[ ]M L T15 Density
Pascal
W t Watt
F A
.F t .N s
.F r
Mass vol
.N m
3.kg m
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Units Dimensions Error 3
Derived Quantities
1 1 2[ ]M L T 16 Stress
Sl. No Physical Quantity Equation Unit Dimensions
17 Strain
1 1 2[ ]M L T 18 Elastic Modulus
1 0 2[ ]M L T 19 Force const
1 2 2[ ]M L T 20 P E , K E
Stress / Strain
F A
L L
2.N m
F L
21,2
mgh mv
Unitless Dimensionless
2.N m
Joule
1.N m
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Units Dimensions Error 3
Derived Quantities
0 0 1[ ]M L T 21 Velocity gradient
Sl. No Physical Quantity Equation Unit Dimensions
22 Rate of flow
1 0 2[ ]M L T 23 Surface Tension
1 0 2[ ]M L T 24 Surface energy
25 Coeff of friction
Volume /time
Work / Area
v L 1s
F L
F R
2.J m
1.N m
3 1.sm 0 3 1[ ]M L T
Unitless Dimensionless
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Units Dimensions Error 3
Derived Quantities
26 Angle
Sl. No Physical Quantity Equation Unit Dimensions
27 Angular velocity
0 0 2[ ]M L T 28 Angular acceleration
1 2 1[ ]M L T 29
Angular momentum
30 Frequency
l r
t
t
1f T
2 1. .kg m s
0 0 1[ ]M L T
L mvR
Hertz
DimensionlessRadian
Radian/sec
Radian/sec2
0 0 1[ ]M L T
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Units Dimensions Error 3
Derived Quantities
31 Areal velocity
Sl. No Physical Quantity Equation Unit Dimensions
32 Angular wave number
1 3 2[ ]M L T 33 Gravitational const.
0 1 2[ ]M L T 34
Gravitational Field
35
Gravitational Potential
Force/mass
Energy/mass
Area/time
2k
2 2G FR M
1.N kg
0 1 0[ ]M L T
0 2 2[ ]M L T
2 1.m s 0 2 1[ ]M L T
1m
2 2. .N m kg
1.J kg
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Units Dimensions Error 3
Derived Quantities
36 Moment of inertia
Sl. No Physical Quantity Equation Unit Dimensions
37 Coeff of viscosity
1 1 1[ ]M L T38 Fluidity
0 2 1[ ]M L T 39
Kinematic viscosity
40
Planck’s const (h)
Deca poise
2I MR
6F rv
1
2 1.m s
1 1 1[ ]M L T
1 2 1[ ]M L T
2.kg m 1 2 0[ ]M L T
1( )Deca poise
.J s
E h f
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Units Dimensions Error 3
Derived Quantities
41 Thermal capacity
Sl. No Physical Quantity Equation Unit Dimensions
42
Coeff of thermal conductivity
43 Gas Constant (R)
44
Specific heat
45
Stefan’s const ()
Q ms
Q kA t d
PV nT
2 4. .W m K
1.J K 1 2 2 1[ ]M L T K
1 1. .J K mol
4E T
1 1. .W m K 1 1 3 1[ ]M L T K
1 2 2 1[ ]M L T K
s Q m 1 1. .J Kg K 0 2 2 1[ ]M L T K
1 0 3 4[ ]M L T K
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Units Dimensions Error 3
Derived Quantities
46 Electric Charge
Sl. No Physical Quantity Equation Unit Dimensions
47
Electric Field
48 Electric Flux
49
Potential Difference
50
Potential Gradient
Q I t
E F q
.E E A
1.V m
0 0 1 1[ ]M L T A
V L
1.N C 1 1 3 1[ ]M L T A
1 3 3 1[ ]M L T A
.V E L
Coulomb
2 1. .N m C
Volt 1 2 3 1[ ]M L T A
1 1 3 1[ ]M L T A
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Units Dimensions Error 3
Derived Quantities
51 Line charge density
Sl. No Physical Quantity Equation Unit Dimensions
52 Surface charge density
53 Volume charge density
54
Capacitance
55
Permittivity ()
q L
2 1 2. .C N m
0 1 1 1[ ]M L T A
2 24F q r
C q V Farad 1 2 4 2[ ]M L T A
1 3 4 2[ ]M L T A
1.C m
q A 2.C m 0 2 1 1[ ]M L T A
0 3 1 1[ ]M L T A3.C mq vol
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Units Dimensions Error 3
Derived Quantities
56
Resistance
Sl. No Physical Quantity Equation Unit Dimensions
57
Resistivity
58
Current density
59
Electrical Conductivity60
Conductance
J I A 0 2 0 1[ ]M L T A
RA L
1 3 3 2[ ]M L T A
2.A m
R V I 1 2 3 2[ ]M L T A
11 R
1
1 2 3 2[ ]M L T A
.m
1 1.m
1 3 3 2[ ]M L T A
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Units Dimensions Error 3
Derived Quantities
61
Magnetic Flux
Sl. No Physical Quantity Equation Unit Dimensions
62
Inductance ( L )
63
Magnetic Induction
64
Inductive Reactance65
Magnetic Permeability
B F qv 1 0 2 1[ ]M L T A
LX L
Tesla
BA B Weber
1. .T m A2B I r
1 2 2 1[ ]M L T A
1 1 2 2[ ]M L T A
1 2 2 2[ ]M L T A
1 2 3 2[ ]M L T A
.L I B1.Wb A
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