Standing waves, frequency, wavelength and speed D; Help

In summary, the wavelength of the interfering waves can be found by using the equation T=1/f, where T is the period and f is the frequency. The given frequency in the question is 10.0 Hz. Additionally, the distance between the third node and the sixth node is 54 cm, which is equal to 1/2 wavelength. Using this information, the wavelength can be calculated as 1.08 meters.
  • #1
milliex51
8
0
What is the wavelength of the interfering waves?

Homework Statement



Standing waves are produced in a string by sources at each end with a frequency of 10.0 Hz. The distance between the third node and the sixth node is 54 cm.

a) What is the wavelength of the interfering waves? b) What is their speed?

Homework Equations



I believe I should use: T= 1/f, v=λ/T or v=fλ or v=Δd/Δt

The Attempt at a Solution

 
Last edited:
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  • #2
Using those equations, write out what each symbol is and what the given value in the question for that is:

Wavelength (λ) = ?
Frequency (f) = 10Hz

It should be more clear then.
 
  • #3
Remeaber that the distance between a node and its nearest a connecting node is equal to 1/2λ. Hope this helps :)
 

1. What are standing waves?

Standing waves are a type of wave that occurs when two waves with the same frequency and amplitude travel in opposite directions and interfere with each other. This creates a pattern of nodes and antinodes that appear to be standing still.

2. How do standing waves relate to frequency?

The frequency of a standing wave is determined by the frequency of the two interfering waves. If the two waves have different frequencies, a standing wave will not form.

3. What is the relationship between wavelength and standing waves?

The wavelength of a standing wave is determined by the distance between two consecutive nodes or antinodes. It is equal to twice the distance between nodes.

4. How does speed affect standing waves?

The speed of a standing wave is determined by the medium through which it travels. In a given medium, the speed of a standing wave is constant and is equal to the product of its frequency and wavelength.

5. How are standing waves used in practical applications?

Standing waves have a variety of practical applications, including in musical instruments, where they create distinct tones and harmonies. They are also used in telecommunications, such as in radio and TV antennas, to transmit and receive signals. Additionally, standing waves are utilized in medical imaging techniques such as ultrasound.

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