Define the terms time period and frequency of an oscillating body. Give their units and write the relation between them.
Time period: The time taken by an oscillating body to complete one oscillation is called its time period.
It is denoted by T.
SI unit of time period is second (s).
Frequency: The number of oscillations or vibrations completed by an oscillating body in one second is called its frequency.
Frequency is symbolically denoted by v (Greek letter nu).
SI unit of frequency = per socond (s-1)
= cycles per second (cps)
= hertz |(Hz.)
Relation between time period and frequency:
Let T be the time period of an oscillating body.
Then number of oscillations completed in T second = 1
So, number of oscillations completed in 1 second =
But frequecny() is the number of oscillations completed in 1 second.
Therefore, =
Hence, number of oscillations is equal to the recoprocal of time period.