Unit and dimsensions formulas

Area

Length x Breadth

Volume

Length x Breadth x Height

Mass Density

Mass / Volume

Frequency / Resonant Frequency

1 / Time Period

Velocity / Speed / Escape Velocity

Displacement / Time

Acceleration

Change in Velocity / Time

Force

Mass x Acceleration

Impulse

Force x Time

Work / Energy / Heat Energy

Force x Displacement

Power

Work / Time

Momentum

Mass x Velocity

Pressure

Force / Area

Strain

Change in Dimension / Original Dimension

Modulus of Elasticity / Bulk Modulus

Stress / Strain

Surface Tension

Force / Length

Surface Energy

Energy / Area

Velocity Gradient

Velocity / Distance

Pressure Gradient

Pressure / Distance

Pressure Energy

Pressure x Volume

Coefficient of Viscosity (η)

Force / (Area x Velocity Gradient)

Angle

Arc / Radius

Angular Velocity (ω)

Angle / Time

Angular Acceleration (α)

Angular Velocity / Time

Radius of Gyration (k)

Distance

Moment of Inertia (I)

Mass x (Distance)^2

Angular Momentum (L)

Moment of Inertia x Angular Velocity

Moment of Force / Torque / Couple

Force x Perpendicular Distance

Angular Frequency

2 x Frequency

Wavelength (λ)

Length

Intensity of Wave

Power / Area

Radiation Pressure

Force / Area

Efficiency (η)

Output Work / Input Work

Angular Impulse

Torque x Time

Gravitational Constant (G)

(Energy x Distance) / (Mass)^2

Planck's Constant (h)

Energy / Frequency

Heat Capacity

Heat Energy / Temperature

Specific Heat Capacity (s, c)

Heat Capacity / Mass

Latent Heat (L)

Heat Energy / Mass

Expansion Coefficient (α, β, γ)

Strain / Temperature

Thermal Conductivity (K)

(Heat x Thickness) / (Area x Temp x Time)

Stefan's Constant (σ)

Energy / (Area x Time x Temp^4)

Wien's Constant (b)

Wavelength x Temperature

Universal Gas Constant (R)

(Pressure x Volume) / (Mole x Temp)

Voltage / Potential Diff. / EMF

Work / Charge

Resistance (R)

Voltage / Current

Capacitance (C)

Charge / Voltage

Resistivity (ρ)

(Resistance x Area) / Length

Electric Field (E)

Force / Charge

Magnetic Flux (ΦB)

Magnetic Field x Area

Inductance (L)

Magnetic Flux / Current

Magnetic Dipole Moment (M)

Current x Area

Magnetic Field Strength (B)

Force / (Current x Length)

Permittivity Constant (ε₀)

(Charge)^2 / (Force x Distance^2)

Refractive Index (μ)

Speed of light (vacuum) / Speed (medium)

Wave Number (ν)

1 / Wavelength

Decay Constant (λ)

1 / Time

Quality Factor (Q)

Resonant Frequency / Bandwidth

Power of a Lens (P)

1 / Focal Length

Permeability

MLT⁻² I⁻²

Energy density

ML⁻¹ T⁻²