Units and Measurements II
Dimensional Analysis

Dimensional analysis is the practice of checking relations between physical quantities by identifying the dimensions of the physical quantities. These dimensions are
independent of the numerical multiples and constants, and all the quantities in the world can be expressed as a function of the fundamental dimensions. Physical quantities are expressed using dimensions

Quantities and their dimensions
Area L2 (m²)
Work ML²T-2 (J)
Density ML-3
Volume L³ (m³)
Speed LT-1 (m/s)
Acceleration LT-2 (m/s²)
Force MLT-2 (kgm/s² or N)
Pressure M1LT-2 (kg/(m · s²))
Electromotive force ML²T-3I-1 (N)
Energy ML2T-2 (kgm²/s² or Joule(J))
Power ML2T-3 (kgm²/s³ or Watt)
Electric Charge M⁰L⁰TI (Coulomb)
Voltage ML²T-3I-1 (Volt)
Resistance ML²T-3A-2 (Ohms)
Frequency T-1 (s-1 or Hz)
Wavelength L (m)