Fundamental Frequency, Shortening the length of the spring

AI Thread Summary
The fundamental frequency of a spring is determined by its length, with a 25 cm spring producing a frequency of 441 Hz. To achieve a frequency of 525 Hz with the same spring, the length must be shortened, as frequency is inversely related to length. The wavelength of standing waves is directly related to the length of the spring, with fixed ends creating specific harmonics. Additionally, frequency is related to wavelength and speed of propagation through the equation: frequency equals speed divided by wavelength. Understanding these relationships is crucial for calculating the new length needed for the desired frequency.
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The fundamental frequency of a spring that is 25 cm long is 441 Hz. In order to produce a fundamental frequency, using the same spring of 525 Hz, the string must be shortened to what length?

I'm honestly not even sure how to start this question. Please help :(
 
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Assume that both ends of the string are fixed. How is related the wavelength of the standing waves to the length of the string?
How is related the wavelength to the frequency and speed of propagation?
What is fundamental frequency?

ehild
 

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