# Calculating wave speed frequency and wavelength answers

Frequency, speed and wavelength calculators. This page contains a frequency calculator, as well as calculators with the equation rearranged to make speed and wavelength the subject.

The formulas are shown together with other useful information and examples to try. Unit converters feet to metres and so on can be found here opens in a new tab. Note that when considering electromagnetic radiationsuch as light, the quantity speed is usually denoted by the letter c, but otherwise the letter v standing for velocity is usually used.

Sponsored links. Frequency f. The equation for frequency is given on the right. Example : A particular AM radio station uses a wavelength of metres. What frequency do we need to tune our receiver to in order to hear the broadcast? Putting these figures without commas into the calculator above shows that we need to tune the radio receiver to The equation for wavelength is given above right. Example: Microwave ovens use electromagnetic radiation with a frequency close to 2.

What is the wavelength of the radiation? Putting these figures without commas into the calculator above shows that the wavelength is 0.

Common metric prefixes kilo k : 1, thousand mega M : 1, million giga G : 1, billion Other metric prefixes are listed here. Velocity v. The equation for velocity is given above right. Example: Sound travels in waves and does so at a particular speed depending on what it is travelling through, such as air, brick or water.

To find the speed of sound in air we can note that the musical note A above middle C has a frequency of Hz and a wavelength of 0. Putting these figures into the calculator above shows that the speed of sound in air is close to Deriving - Basic Deriving - Advanced.Recommend Documents. Give the equation that relates the wavelength and frequency of a light wave to More Practice: Energy, Frequency, Wavelength and the There are two equations you should know:.

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The more I lift weights, the stronger I become, is an example of an inversely proportional or directly proportional relationship. Which color has the longest wavelength? Which color has the shortest wavelength? On the EM Spectrum, which type of wave has the longest wavelength? On the EM Spectrum, which type of wave has the shortest wavelength?

What is the energy of x- radiation with a 1 x m wavelength? Which color has the most energy?During these challenging times, we guarantee we will work tirelessly to support you.

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Wavelength is the distance of 1 frequency wave peak to the other and is most commonly associated with the electromagnetic spectrum. If you know the speed and frequency of the wave, you can use the basic formula for wavelength.

If you want to determine the wavelength of light given the specific energy of a photon, you would use the energy equation. Calculating wavelength is easy as long as you know the correct equation. Always keep units consistent across the equation. Most calculations are done using strictly metric units. This equation can also be used to determine the maximum wavelength of light necessary to ionize metals.

Simply use the energy required for ionization and solve for the corresponding wavelength. Just plug in the wave's speed and frequency to solve for the wavelength.

Remember to use the correct units when you're using the formula and writing your answer. If you want to learn more, like how to calculate wavelength with the energy formula, keep reading the article!

## speed frequency and wavelength

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## Calculate frequency, wavelength, wave speed of a wave by the given equation?

This article was co-authored by Meredith Juncker, PhD. Her studies are focused on proteins and neurodegenerative diseases. There are 10 references cited in this article, which can be found at the bottom of the page.As was discussed in Lesson 1a wave is produced when a vibrating source periodically disturbs the first particle of a medium. This creates a wave pattern that begins to travel along the medium from particle to particle. The frequency at which each individual particle vibrates is equal to the frequency at which the source vibrates.

Similarly, the period of vibration of each individual particle in the medium is equal to the period of vibration of the source. In one period, the source is able to displace the first particle upwards from rest, back to rest, downwards from rest, and finally back to rest.

This complete back-and-forth movement constitutes one complete wave cycle. The diagrams at the right show several "snapshots" of the production of a wave within a rope. The motion of the disturbance along the medium after every one-fourth of a period is depicted.

Observe that in the time it takes from the first to the last snapshot, the hand has made one complete back-and-forth motion. A period has elapsed. Observe that during this same amount of time, the leading edge of the disturbance has moved a distance equal to one complete wavelength.

So in a time of one period, the wave has moved a distance of one wavelength. Rearranging the equation yields a new equation of the form:. The above equation is known as the wave equation. As a test of your understanding of the wave equation and its mathematical use in analyzing wave motion, consider the following three-part question:. Stan and Anna are conducting a slinky experiment. They are studying the possible effect of several variables upon the speed of a wave in a slinky.

Their data table is shown below. Fill in the blanks in the table, analyze the data, and answer the following questions. In rows 1 and 2, the wavelength was altered but the speed remained the same. The same can be said about rows 3 and 4 and rows 5 and 6. The speed of a wave is not affected by the wavelength of the wave. In rows 1 and 2, the wavelength was increased and the frequency was decreased. Wavelength and frequency are inversely proportional to each other.

Whenever the medium is the same, the speed of the wave is the same. However, when the medium changes, the speed changes. The speed of these waves were dependent upon the properties of the medium. The above example illustrates how to use the wave equation to solve mathematical problems. It also illustrates the principle that wave speed is dependent upon medium properties and independent of wave properties.

Even though the wave speed is calculated by multiplying wavelength by frequency, an alteration in wavelength does not affect wave speed. Rather, an alteration in wavelength affects the frequency in an inverse manner. A doubling of the wavelength results in a halving of the frequency; yet the wave speed is not changed. Two waves on identical strings have frequencies in a ratio of 2 to 1.

If their wave speeds are the same, then how do their wavelengths compare?Figure 1. When a firework explodes, the light energy is perceived before the sound energy. Sound travels more slowly than light does. Sound, like all waves, travels at a certain speed and has the properties of frequency and wavelength.

You can observe direct evidence of the speed of sound while watching a fireworks display. The flash of an explosion is seen well before its sound is heard, implying both that sound travels at a finite speed and that it is much slower than light. You can also directly sense the frequency of a sound. Perception of frequency is called pitch.

The wavelength of sound is not directly sensed, but indirect evidence is found in the correlation of the size of musical instruments with their pitch. Small instruments, such as a piccolo, typically make high-pitch sounds, while large instruments, such as a tuba, typically make low-pitch sounds. High pitch means small wavelength, and the size of a musical instrument is directly related to the wavelengths of sound it produces.

So a small instrument creates short-wavelength sounds. Similar arguments hold that a large instrument creates long-wavelength sounds. The wavelength of a sound is the distance between adjacent identical parts of a wave—for example, between adjacent compressions as illustrated in Figure 2. The frequency is the same as that of the source and is the number of waves that pass a point per unit time. Figure 2. The more rigid or less compressible the medium, the faster the speed of sound. This observation is analogous to the fact that the frequency of a simple harmonic motion is directly proportional to the stiffness of the oscillating object.

The greater the density of a medium, the slower the speed of sound. This observation is analogous to the fact that the frequency of a simple harmonic motion is inversely proportional to the mass of the oscillating object. The speed of sound in air is low, because air is compressible.Solving the Equation. Light, sound and water all travel as waves. The equation that describes this wave motion is the same for all three types of wave. This is it:. The frequency, fof a wave is the number of times a wave's crests pass a point in a second.

If you watch a water wave in the bath pass over one of your toes twice every second the frequency of the wave is 2 Hz. The unit "Hz" is short for hertz, named after the German physicist Heinrich Hertz — A more mathematically useful way to write 2 Hz is 2 s —1.

That is, "2 per second". The speed of light has been given the letter c. In fact, as with all mathematical letters it is just a label and any letter would do providing we state what we mean when we use it.

Another way of writing this is:. This means a three with eight zeros behind it, i. Again this is just a label, or shorthand, in order to allow us to work quickly with the equation.

Wavelengths are usually measured in metres. Providing we know any two of the three quantities we can find the other one, either directly or by rearranging the equation.

### Calculating Wave Speed help!!!!!!!!!!!?

The next section solves the equation as it is, and there is a calculator for frequency, wavelength and speed here. In this example we will consider the frequency of radio waves. Radio waves are just another form of "light", i. Let's say we have a radio with a dial that is only marked in MHz.

This is a measurement of frequency and we note that 1 MHz is the same as 1 million hertz the M in MHz stands for " mega ", which means million. We are told of a radio broadcast we want to hear but we are only given the wavelength of the station and not the frequency.

The wavelength we are given is 3. We know the speed of light and we know the wavelength so it's now an easy matter to plug these numbers into the equation and find the frequency of the radio station:. This gives us a frequency of 92 MHz, which is found in the FM range of most domestic radios. Visible Light. The wavelengths of visible light are measured in nanometres, nm billionths of a metre but the equation works just the same.

For example, red light has a wavelength of around — nm and blue light has a wavelength of around — nm. When we look at a light source the colours we see are dictated by the frequency of the light.This wavelength calculator determines the distance between two wave peaks when you know the frequency and the wave velocity or speed.

Below the form you can discover more on this subject and check an example calculation. How does this wavelength calculator work? This is a tool you can use to estimate the distance from one wave peak to another when you already know the frequency and the wave velocity or speed. You can also use the wavelength calculator to find out the frequency of a wave as long as you know its speed and wavelength.

Therefore you can input data for any two of the three components and in different measurement units, in order to discover the third value. The answer from the tool will be given in the S.

Video 3 calculating wave speed, frequency, wavelength and period

I measurement unit for that variable. The measurement units for it available in the form are microns; mm; cm; m; km; inches and feet.

The wavelength result is 3 m. Wavelength Calculator. Complete any of the two fields to discover the third value! This is a tool you can use to estimate the distance from one wave peak to another when you already know the frequency and the wave velocity or speed You can also use the wavelength calculator to find out the frequency of a wave as long as you know its speed and wavelength.

In this case we are talking about peaks of the wave. The unit from the formula is Hz but you can also input KHz; Mhz and GHz and the calculator will do the transformations.