Question

How do you calculate frequency of oscillation?

Answer 1

Hint: The motion of the body is said to be in oscillatory or vibratory motion if it moves back and forth about a fixed position or point after a regular interval of time. This fixed position is also called the mean position. One oscillation is the complete to and fro movement of an object, with respect to a specific position.

Complete step by step solution:
In the given question, it has been asked to find out the frequency of oscillation. The complete to and fro motion of an object about its mean position is called an oscillation. The time taken for a complete oscillation to take place is known as its time period. The frequency (f) of an oscillation is defined as the number of oscillations occurring in unit time or one second.

So, we can measure the frequency of oscillation by measuring the number of to and fro motions in a unit time period. It can be calculated by finding the ratio of $\dfrac{1}{t}$ , where ‘t’ is the time period of oscillation taken in seconds. So, the mathematical relation between the frequency of oscillation and the time period of oscillation is given by:
$f=\dfrac{1}{t}$

Hence, the frequency of the oscillation can be given as the reciprocal of the time period and using this we can calculate the frequency.

Note: Frequency of an oscillation denotes the number of to and fro swings in one second. The standard or the SI unit of frequency is Hertz (Hz). The dimensional formula for frequency of an oscillation is $\left[ {{M}^{0}}{{L}^{0}}{{T}^{-1}} \right]$.