What is the fundamental frequency of the string?

AI Thread Summary
The discussion focuses on determining the fundamental frequency and wave speed of a string based on its harmonic frequencies. The fundamental frequency is calculated to be 5.5 Hz, derived from the difference between successive harmonics. To find the wave speed, the equation v = hf is referenced, but there is confusion regarding how to calculate the wavelength. It is clarified that the wavelength corresponds to the distance for a complete cycle, and the relationship between wave speed, frequency, and length is emphasized. The discussion highlights the importance of understanding the connection between harmonics, frequency, and wave properties.
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One of the harmonics on a string 1.4 meters long has a frequency of 18.4 Hz. The next higher harmonic frequency is 23.9 Hz.

(a) What is the fundamental frequency of the string?
f1 = Hz *
5.5 OK

(b) What is the speed of the waves on the string?
v = m/sec

the URL:https://wug-s.physics.uiuc.edu/cgi/cc/shell/DuPage/Phys1201/spring/tma.pl?Ch-14-Waves/wt_fundamental#pr

I found the frequency, but I am just a little confused on how to find the speed. i know i have to use the equation: v=hf. but I am just confused on how to find wavelength... wavelength is the distance it takes to complete a full cycle correct? i don't know where I am going wrong in my calculations
 
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You know the difference between the frequencies of successive harmonics is 5.5 Hz. This difference is a function of v and L, and you already know L.

(Hint: Use ω = nπv/L, you have to convert the angular frequency here to Hertz)
 
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