DIMENSIONAL FORMULAE
DIMENSIONAL
QUANTITIES SYMBOL UNIT FORMULA FORMULA QUANTITIES UNIT FORMULA
1 Plane angle π radian Radian arc/radius Dimensionless
4π
2 Solid angle steradian Steradian TSA/radius^2 Dimensionless
Strain: -
Shear
Longitudnal
3 Volume Dimensionless
4 Angular Displacement Dimensionless
Angular Velocity ω omega ang. Dis./ t T-1
Frequency ν nu 1/ time T-1
4 Area A m^2 side x side L2
5 Volume V m^3 lxbxh L3
6 Density ρ rho kg/m^3 mass/vol ML-3
7 Speed/ velocity S/V m/s distance/t LT-1
8 Acceleration m/s^2 velocity/t LT-2
Newton /
dyne
9 Force F/ dyn (10^5 N) mass x acc. MLT-2
10 Impulse N x sec Force x time MLT-1
11 Momentum p kgm/s Mass x velocity MLT-1
12 Torque τ tau r⊥force r⊥force ML2T-2
J / erg
13 Work (10^7 J) Joule/ erg Force x disp. ML2T-2
J / erg
14 Kinetic energy (10^7 J) Joule/ erg 1/2 mv^2 ML2T-2
J / erg
15 Potential energy (10^7 J) Joule/ erg mxgxh ML2T-2
16 Power W Watt Work / time ML2T-3
17 Energy Density J/m3 Energy/ vol. ML-1T-2
18 Pressure Pa Pascal Force / area ML-1T-2
Stress: -
Longitudnal
Shear
19 Volume Pa Pascal Force / area ML-1T-2
Modulus of elasticity: -
Young Modulus
Bulk Modulus
20 Modulus of rigidity Pa Pascal Force / area ML-1T-2
21 Angular Acceleration α alpha ang. Vel./ time T-2
Torque/ang.
22 Moment of inertia I Acc. ML2
M.o.I x ang.
23 Angular Momentum L Vel. ML2T-1
energy/
24 Planck Constant h frequency ML2T-1
Force constant or
25 spring constant force/ length MT-2
26 Surface Tension force/ length MT-2
DIMENSIONAL
QUANTITIES SYMBOL UNIT FORMULA FORMULA QUANTITIES UNIT FORMULA
1 Plane angle π radian Radian arc/radius Dimensionless
4π
2 Solid angle steradian Steradian TSA/radius^2 Dimensionless
Strain: -
Shear
Longitudnal
3 Volume Dimensionless
4 Angular Displacement Dimensionless
Angular Velocity ω omega ang. Dis./ t T-1
Frequency ν nu 1/ time T-1
4 Area A m^2 side x side L2
5 Volume V m^3 lxbxh L3
6 Density ρ rho kg/m^3 mass/vol ML-3
7 Speed/ velocity S/V m/s distance/t LT-1
8 Acceleration m/s^2 velocity/t LT-2
Newton /
dyne
9 Force F/ dyn (10^5 N) mass x acc. MLT-2
10 Impulse N x sec Force x time MLT-1
11 Momentum p kgm/s Mass x velocity MLT-1
12 Torque τ tau r⊥force r⊥force ML2T-2
J / erg
13 Work (10^7 J) Joule/ erg Force x disp. ML2T-2
J / erg
14 Kinetic energy (10^7 J) Joule/ erg 1/2 mv^2 ML2T-2
J / erg
15 Potential energy (10^7 J) Joule/ erg mxgxh ML2T-2
16 Power W Watt Work / time ML2T-3
17 Energy Density J/m3 Energy/ vol. ML-1T-2
18 Pressure Pa Pascal Force / area ML-1T-2
Stress: -
Longitudnal
Shear
19 Volume Pa Pascal Force / area ML-1T-2
Modulus of elasticity: -
Young Modulus
Bulk Modulus
20 Modulus of rigidity Pa Pascal Force / area ML-1T-2
21 Angular Acceleration α alpha ang. Vel./ time T-2
Torque/ang.
22 Moment of inertia I Acc. ML2
M.o.I x ang.
23 Angular Momentum L Vel. ML2T-1
energy/
24 Planck Constant h frequency ML2T-1
Force constant or
25 spring constant force/ length MT-2
26 Surface Tension force/ length MT-2
