How is time peroid the reciprocal of frequency? Plz explain
If you have ten events per second then you have one event every 1 event every tenth of a second.
Period is the time for 1 cycle.
Example: Freq. = 10 Hz = 10 cycles/s.
Period = 1/F = 1/10cycles/s = 0.1 s/cycle. So the period is the time for 1 cycles.
To understand why the time period is the reciprocal of frequency, let's first define what these terms mean:
1. Time period (T): It refers to the duration it takes for a complete cycle to occur in a repeating phenomenon, such as the time it takes for a pendulum to swing back and forth once or for a wave to complete one full cycle.
2. Frequency (f): It represents the number of cycles or oscillations that occur in a unit of time, usually measured in Hertz (Hz).
Now, let's see how the time period and frequency are related:
The frequency of a repeating phenomenon is defined as the number of cycles that occur in one second, while the time period is the time it takes to complete one cycle. Since frequency is the number of cycles per second, we can express it as:
frequency (f) = 1 / time period (T)
We can rearrange this equation to solve for the time period:
time period (T) = 1 / frequency (f)
Therefore, we can see that the time period is the reciprocal of the frequency, or vice versa. In simple terms, if the time period of a phenomenon is short, it means that the cycles are occurring rapidly, resulting in a high frequency. On the other hand, if the time period is long, it indicates a lower frequency.
So, whenever you know either the time period or the frequency, you can calculate the other by taking its reciprocal.