Standing Waves Homework: A Tuning Fork, a String and a Hanging Mass

In summary, a standing wave is created when two waves with the same frequency and amplitude interfere with each other, resulting in a pattern of nodes and antinodes. The wavelength and frequency of a standing wave are inversely proportional, and can be calculated using the equation λ = 2L/n. A hanging mass affects the standing wave by altering the tension and mass of the string, which changes the frequency and wavelength. The speed of a wave on a string can be calculated using the equation v = √(T/μ), which shows that the speed is directly proportional to the tension and inversely proportional to the mass per unit length.
  • #1
chessmaster62
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New poster has been reminded to post the Relevant Equations and show their work on schoolwork problems
Homework Statement
idk
Relevant Equations
v=f(frequency)
Hi guys,
so I am struggling on the Standing Waves concept. I understand that these are waves that move in place but I don't know how to attempt this problem. Can someone set me on the right track?
 

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  • #2
Hello chessmaster, :welcome: !

PF culture (and the rules too) requires an effort from you before we can help.
write down the relevant relationships for the two cases and see if things cancel (divide out)
 

1. What is a standing wave?

A standing wave is 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 results in a pattern of nodes (points of no displacement) and antinodes (points of maximum displacement) that do not appear to move.

2. How is a standing wave created?

A standing wave is created when a wave reflects off of a fixed boundary, such as a wall or a string that is held at both ends. The reflected wave interferes with the original wave, resulting in a standing wave pattern.

3. What is the relationship between wavelength and frequency in a standing wave?

In a standing wave, the wavelength is equal to twice the distance between two consecutive nodes. The frequency of the standing wave is determined by the speed of the wave and the wavelength. As the wavelength decreases, the frequency increases.

4. How does a tuning fork produce a standing wave?

When a tuning fork is struck, it vibrates at a specific frequency. This frequency causes the air molecules around the tuning fork to vibrate at the same frequency, creating a sound wave. When this sound wave reaches a fixed boundary, such as a wall or a string, it reflects back and interferes with the original wave, creating a standing wave.

5. How does a hanging mass affect a standing wave on a string?

A hanging mass affects a standing wave on a string by changing the tension in the string. This changes the speed of the wave, which in turn changes the wavelength and frequency of the standing wave. A heavier hanging mass will result in a slower wave speed and a longer wavelength, while a lighter hanging mass will result in a faster wave speed and a shorter wavelength.

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