6.3 Dimensional Homogeneity

         An equation is said to be dimensionally homogeneous if the dimensions of the various terms on the LEFT and RIGHT sides of the equation are IDENTICAL.
There are two system, that is MLTθ and FLTθ where,
   M = mass
   F = force
   L =length
   T = time
   θ = temperature

Example 1.0:
  Force = mass x acceleration
In MLTθ system,

Example 1.1:
Consider the equation for the distance S travelled in time t by a particle having velocity u and acceleration f,

Dimensionally,        m = m/sec  sec + 1/2  m/〖sec〗^2  〖sec〗^2      or   L = L/T .T + 1/2  L/T^2 .T^2
                             m= m + ½ m                                L = L + L  
Hence, the terms on both sides of the equation have the same unit of length and therefore the equation is dimensionally homogeneous.

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