Determining lowest f of standing wave

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To find the lowest frequency for standing waves on a string with two fixed ends and three loops, the fundamental frequency formula f = (1/2L) * v is used, where L is the string length and v is the wave speed. The fundamental frequency represents the lowest frequency achievable for standing waves. For three loops, the string must accommodate one and a half wavelengths, indicating that three loops correspond to a specific harmonic. By determining the values of L and v, one can calculate the fundamental frequency. This method effectively clarifies how to find the lowest frequency for standing waves on a string.
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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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