UNIT AND DIMENTIONS

Unit is the chosen standard used for measuring a physical quantity.

Units are of two types : Fundamental Units and Derived Units

There are few important unit systems , CGS system stands for “centimeter-gram-second”, MKS system stands for ” meter-kilogram-second”, and SI unit system.

  • In SI units, there are seven fundamental units given as follows :
PHYSICAL QUANTITYSI UNITSYMBOL
LengthMeterm
MassKilogramKg
TimeSeconds
Electric CurrentAmpereA
TemperatureKelvinK
Luminous intensityCandelaCd
Amount of substanceMolemol

Derived units : all other units than this table are derived units because they are derived from these fundamental units.

  1. Force = CGS unit (Dyne), SI unit (Newton)
  2. Work = CSG unit (erg), SI unit (Joule)

Dimensions :

Dimensions are expression of various physical parameters in terms of fundamental units. M = Mass, L = Length, T = Time, K = Temperature etc.

QUANTITYDIMENSIONAL FORMULA
Velocity = distance/time = meter[L]/second[T][M0L1T-1] or [LT-2]
Acceleration = Velocity[M0L1T-1]/time[T][M0L1T-2] or [LT-2]
Force = mass[M]*Acceleration[M0L1T-2][M1L1T-2] or [M0LT-2]
Volume[ML3]
Angular velocity, Frequency [T-1]
Power [ML2T-3]
Pressure, Stresses, Modulus of Elasticity[ML-1T-2]
Universal Gravitational Constant[M-1L3T-2]
Permeability[M2]
Hydraulic Conductivity[MT]
Darcy Flux [LT-1]

Leave a Comment

Your email address will not be published. Required fields are marked *

Shopping Basket
Scroll to Top