Determining lowest f of standing wave

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SUMMARY

The discussion focuses on determining the lowest frequency of standing waves on a string with two fixed ends and three loops. The fundamental frequency, which is the lowest frequency, can be calculated using the formula f = (1/2L) * v, where L is the length of the string and v is the wave speed. Participants confirm that understanding the relationship between the number of loops and wavelengths is essential for calculating the fundamental frequency accurately. The formula provides a clear method for finding the lowest frequency once the necessary parameters are known.

PREREQUISITES
  • Understanding of wave mechanics
  • Familiarity with the concept of standing waves
  • Knowledge of basic physics formulas
  • Ability to manipulate algebraic equations
NEXT STEPS
  • Study the relationship between loops and wavelengths in standing waves
  • Explore the effects of varying wave speed on frequency calculations
  • Learn about harmonic frequencies in strings with fixed ends
  • Investigate practical applications of standing waves in musical instruments
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Students and educators in physics, musicians interested in acoustics, and anyone studying wave phenomena in strings will benefit from this discussion.

albert611
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If the length of a string with two fixed ends and three loops, along with the wave speed is given, how would you find the lowest frequence for standing waves on that string? I thought that the fundamental frequency determined the lowest frequency. Thanks for your help!

-Albert
 
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How many wavelengths do 3 loops correspond to??How many loops are needed for the fundamental frequency...??

Daniel.
 


Hello Albert,

You are correct that the fundamental frequency is the lowest frequency for standing waves on a string with two fixed ends and three loops. To determine the fundamental frequency, we can use the formula:

f = (1/2L) * v

Where:
f = fundamental frequency
L = length of the string
v = wave speed

To find the lowest frequency, we need to determine the length of the string (L) and the wave speed (v). Once we have those values, we can plug them into the formula and solve for f. This will give us the fundamental frequency, which is the lowest frequency for standing waves on the string.

I hope this helps clarify the process for determining the lowest frequency for standing waves on a string. Let me know if you have any other questions.
 

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