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Dimensional Formula of Frequency
with its Derivation
In this article, we will find the dimension of Frequency
Dimension Formula for Frequency is given by
Here
M denotes Mass
L denotes Length
T denotes Time
Derivation for expression of Dimension of Frequency
Frequency is defined as the number of vibrations or rotation per sec
$ Frequency= \frac {\text{Number of Vibration }}{Time}$
or
$Frequency = \frac {1}{\text {Time of one vibration} }$
We can derive the Dimension of frequency from the above formula
The number of Vibration is a dimensionless quantity. The dimension of Time is given by $[M^0 L^0 T^{1}]$
Therefore
$\text{Dimension of Frequency } = \frac {1}{[M^0 L^0 T^{1}]}= [M^0 L^0 T^{-1}]$
Frequency is denoted by the letter $\nu$
SI unit of Frequency is Hertz
Try the free Quiz given below to check your knowledge of Dimension Analysis:-
Quiz on Dimensional Analysis
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