Find the length of string and speed of wave in string if frequency of given wave is 850 hz and the wavelength is 0.26m? The string is in a tube that is closed at both ends.
I found the speed using v=freqeuncy*wavelength.
How do i find the length of the srring?
If resonating, wouldnt the string length be a multiple of half wavelengths?
To find the length of the string, you can use the formula for the speed of a wave in a string when the string is in a tube that is closed at both ends. The formula is:
v = (2 * L) / λ
Where:
- v is the speed of the wave
- L is the length of the string
- λ is the wavelength of the wave
To find the length of the string, rearrange the formula to solve for L:
L = (v * λ) / 2
Now, substitute the given values into the formula:
- Speed of the wave, v = calculated value
- Wavelength, λ = 0.26 m
L = (v * 0.26) / 2
Since you have already calculated the speed of the wave using the formula v = frequency * wavelength, you can substitute that value into the equation above and solve for L.
L = (calculated value * 0.26) / 2
This will give you the length of the string.