## Frequency of a Wave

Before we find the period of a wave, it helps to know the **frequency** of the wave, that is the number of times the curl cycle repeats in a given time period. This graph shows us five different waves with different frequencies. You can see that a unlike amount of cycles over the same period of clock. We could find the demand number by counting the peaks or troughs. The red wave has the *lowest frequency* among the five because it has the least number of repeating cycles, and the pink wave has the *highest frequency* because it has the highest count of repeating cycles.

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**Frequency** ( *f* ), can be obtained by dividing the brandish ‘s speed, normally symbolized by the letter *v*, by its wavelength. Remember, we represent it with the greek symbol : lambda. We normally measure the **wavelength** in meters and the **velocity** in meters per second. The frequency found using these units will be measured in **Hz (hertz)**, another means of saying cycles per second. Let ‘s say we determine a roll moves at 60 Hertz ; that wave will have 60 cycles per second. When writing formulas, Hertz is normally abbreviated to Hz .

## Finding a Wave Period

So how can knowing the frequency help us find a wave period ? The higher the frequency of a wave, the lower the roll time period. After all, if you ‘re going to fit more cycles into a certain menstruation of time, the cycles need to be shorter .

We can say that the **frequency and wave period are inversely proportional** to each other, sol if the frequency increases, the period decreases, and vice-versa. In other words if the frequency is *large,* then the menstruation is *short* and if the frequency is *small,* then the time period is *long.* Remember that wavelength and speed both affect the frequency, so we can besides say, *the higher the wavelength, the higher the wave period and the lower the velocity, the higher the wave period.’ * *The wave period is actually the reciprocal of the frequency, which means that any wave will have a wave period of 1 over the wave’s frequency. The standard unit for period is in seconds, abbreviated as the letter S. *

## Practice Questions

Let do a little morsel of practice. here ‘s a word trouble : model 1 : You ‘re on vacation at the beach, and its a blowy day. While looking at the ocean waves, you observed that the approximate speed of a roll is 3 m/s, and the distance between the peaks of two waves is approximately 20 m. What are the frequency and wave period for these waves ? solution :

Okay, we know the speed, which is 3m/s. We besides know the **wavelength**, remember that ‘s the distance between two peaks, so we can call the wavelength 20 meters. We can use these two bits of information to find the frequency. Divide the speed, 3 m/s, find the wavelength, 20m, and we find that the frequency is 0.15HZ. Or .15 cycles per second gear. then we find the reciprocal of that phone number ; 1 over 0.15 will give us the value of 6.67. That tells us that the wave menstruation is 6.67 seconds. hera ‘s another. example 2 : The color crimson has a frequency of 4×10^14 Hz and the semblance violet has a frequency of 8×10^14 Hz. What are the wave periods for the two colors ? Which color has a higher wave period ? solution :

This one is easy because we already know the frequencies of the waves we ‘re looking at. All we need to do is find the reciprocal of each frequency. The reciprocal of 4×10^14Hz is 2.5×10^-15, which means that the color red ‘s brandish time period will be 2.5×10^-15 seconds. Violet ‘s reciprocal and, therefore, its beckon period is 1.25×10^-15 seconds. These are complicate numbers but we can still answer the second question : which color has a higher wave period ? In this event, the answer is bolshevik, whose wave cycle is precisely a piece slower. We can besides figure this out given the frequencies of the two waves. Remember that **frequency is inversely proportional to wave period**. That means the higher the frequency of a wave, the smaller its wave period will be. Violet waves have a higher frequency than crimson waves. That means that we know that crimson waves will have higher wave periods than violet waves without having to plug it in to any equations .

## Lesson Summary

Every day, we encounter waves. sometimes we see them when we go to the beach and look at the ocean. early times, they are invisible such as the waves in microwaves and radio receiver waves. Different waves have different frequencies and periods. The **wave period** is the time it takes to complete one cycle. The standard unit of measurement of a **wave period** is in seconds, and it is *inversely proportional* to the **frequency** of a wave, which is the number of cycles of waves that occur in one irregular. In other words, the higher the frequency of a wave, the lower the curl period. The wave period is besides dependent on the **wavelength** and the speed. The higher the speed, the lower the wave menstruation, and the higher the wavelength, the higher the wave period.

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## Wave Period – Terms & Definitions

**Wave period**: the time it takes to finish one wave cycle**Crests/Peaks**: the highest points of a wave**Troughs**: the lowest points of a wave**Wavelength**: the measurement in meters from one peak to the next peak of a wave**Wave cycles**: one completion of a wave’s repeating up-and-down pattern**Frequency**: the number of times the wave cycle repeats in a given time period**Velocity**: speed of the wavelengths is measured in meters per second**Hz (hertz)**: cycles per second**Frequency and wave period are inversely proportional**: if the frequency of a wave increases, the wave period decreases, and vice-versa

## Learning Outcomes

When you ‘ve finished studying the wave period via this lesson, make certain that you can successfully :

- Write the definition of a wave period
- Verbalize the meaning of the frequency of a wave
- Use frequency to find a wave period