Find the length of string and speed of wave in string

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To find the length of the string and the speed of the wave, the frequency is given as 850 Hz and the wavelength as 0.173 m. The speed of the wave can be calculated using the formula v = frequency × wavelength, resulting in a speed of 147.5 m/s. Since the string is in a tube closed at both ends, the relationship between the wavelength and the length of the string indicates that the length is half the wavelength for the fundamental frequency. Therefore, the length of the string is 0.0865 m. Understanding the characteristics of standing waves is crucial for solving this problem.
myoplex11
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Homework Statement


Find the length of string and speed of wave in string if frequency of given wave is 850 hz and the wavelength is 0.173m? The string is in a tube that is closed at both ends.




Homework Equations


v=(T/(m/L)^.5

The Attempt at a Solution



I found the speed using v=frequency*wavelength.
How do i find the length of the string?
i don't know the mass or the tension
 
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myoplex11 said:

The Attempt at a Solution



I found the speed using v=frequency*wavelength.
How do i find the length of the string?
i don't know the mass or the tension

This is a standing wave. Have you read about that?

Assume that the frequency given is that of the fundamental. What is the relationship between the wavelength and the length? In this case, the ends of the string are both nodes.
 
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