What is dimensional consistency - Definition and Meaning
Dimensional Consistency :
If the dimension of the quantities are equal on both sides of the equation, then it is said to be dimensionally consistent.
Example :
Consider the equation of pendulum T= 2 Pi * sqrt(L/g)
Dimension of length->L , Time-> T
value of g= 9.8 ms-2 , in dimension LT -2 (omitting constant values)
Take RHS :
= √(L/LT -2)
= √(1/T -2)
= √(T2)
= T
= LHS
It shows the equation is Dimensionally consistent.
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