Calculating Wave Velocity with Frequency and Amplitude

In summary, the conversation revolves around calculating the wave velocity when given the frequency and amplitude of a transverse wave on a stretched string. The participants discuss the wave equation v = f * lambda and how the wavelength is necessary to find the velocity. They also mention finding the total distance traveled by a particle on the wave after 3 seconds. The concept of wavelength being a length and period being a time is also discussed. There is confusion regarding the problem and the lack of information provided.
  • #1
lightfire22000
10
0
Anyone know how to calculate the wave velocity if you know the frecuency, but not the wavelength? We were also given the amplitude.
 
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  • #2
Wave velocity of what? The wave equation is [tex]v = f \lambda[/tex], so unless you have other information you won't be able to find the speed. (Amplitude won't help.) What's the exact problem?
 
  • #3
A transverse wave, with amplitude 13 cm, and frecuency of 5.00 Hz...No wavelength mentioned.
a) Find the velocity of the wave.
b)Find the total distance traveled by a particle on the wave after 3 seconds.

How come the wavelength isn't the period of the function, or the reciporacal of the frecuency?
 
  • #4
lightfire22000 said:
A transverse wave,
Of what? A wave on a stretched string?
a) Find the velocity of the wave.
b)Find the total distance traveled by a particle on the wave after 3 seconds.
I don't see enough info to answer part a, but b seems doable.

How come the wavelength isn't the period of the function, or the reciporacal of the frecuency?
Wavelength is a length, period is a time. How can they be the same? (They are related by wave speed, given by the wave equation.) Period is the reciprical of frequency.
 
  • #5
Be more careful in your reading of the problem ...
they're probably trying to ask about (or tell you about)
the maximum speed or acceleration of a PIECE of the STRING.
Do they tell you that the string is in resonance? mass density?
 

Related to Calculating Wave Velocity with Frequency and Amplitude

1. How do you calculate wave velocity using frequency and amplitude?

Wave velocity can be calculated by multiplying the wavelength (λ) and the frequency (f) of the wave. The formula is v = λf, where v is the wave velocity in meters per second (m/s).

2. What is the relationship between wave velocity, frequency, and amplitude?

The wave velocity is directly proportional to the frequency and wavelength of a wave. This means that as the frequency and wavelength increase, the wave velocity also increases. However, the amplitude of a wave does not affect its velocity.

3. Can you calculate wave velocity with only frequency or amplitude?

No, wave velocity can only be calculated when both the frequency and amplitude are known. This is because the wavelength is also needed, and it is determined by both the frequency and amplitude of the wave.

4. What unit is used to measure wave velocity?

Wave velocity is measured in meters per second (m/s) in the SI (International System of Units) system. In some cases, it can also be measured in kilometers per hour (km/h) or miles per hour (mph).

5. How does the medium affect wave velocity?

The properties of the medium, such as density and elasticity, can affect the wave velocity. In general, waves travel faster in denser and more elastic mediums. For example, sound waves travel faster in solids than in gases.

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