Calculating Frequency of a Transverse Wave on a String

[dietcokegal]

Homework Statement

A periodic transverse wave is established on a string such that there are exactly two cycles traveling along a 3.0m section of the string. The crests move at 20 m/s. What is the frequency of the wave?

Homework Equations

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The Attempt at a Solution

Dont know how to do it.

 

[Feldoh]

Let's take the problem apart a bit. for starters if there are two cycles in a 3.0m section that's essentially saying that 2*wavelength = 3.0m, right?

Now, how do we find frequency from wavelength?

 

[nlightner]

I can provide you with the necessary equations to calculate the frequency of a transverse wave on a string. The frequency of a wave is defined as the number of cycles per unit time, usually measured in Hertz (Hz). In this case, we can use the formula:

Frequency (f) = Speed of the wave (v) / Wavelength (λ)

First, we need to calculate the wavelength of the wave. Since we know that there are exactly two cycles traveling along a 3.0m section of the string, we can assume that the wavelength is twice the length of the section, which is 6.0m.

Next, we can plug in the given values into the formula:

f = 20 m/s / 6.0m = 3.33 Hz

Therefore, the frequency of the transverse wave on the string is 3.33 Hz.

I hope this helps with your homework and understanding of wave properties. Remember to always use the appropriate equations and units when solving scientific problems.