mathematical relationship between period and frequency
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mathematical relationship with period and frequency
The mathematical relationship between the period and the frequency of a wave can be defined using the equation:
Frequency = 1 / Period
In this equation, frequency is measured in Hertz (Hz) and period is measured in seconds (s).
To understand this relationship, it's important to understand what period and frequency represent in the context of waves.
Period:
The period, represented by the symbol T, is the time it takes for one complete cycle of a wave to pass a given point. It can be thought of as the time between two consecutive identical points on a wave, such as the time between two consecutive crests or troughs.
Frequency:
The frequency, represented by the symbol f, is the number of complete cycles of a wave that occur in one second. It represents how many times a wave oscillates or completes a cycle in a given time period. Frequency is usually measured in Hertz, where 1 Hertz is equivalent to one cycle per second.
Now, let's consider the relationship between period and frequency using the equation mentioned earlier:
Frequency = 1 / Period
According to this equation, frequency is inversely proportional to the period. This means that as the period increases, the frequency decreases, and vice versa. In other words, if the period of a wave is longer, it will take more time for the wave to complete a cycle, resulting in a lower frequency. Conversely, if the period is shorter, the wave completes cycles more frequently, resulting in a higher frequency.