derivation for open pipe in physics
Answers
Explanation:
A “pipe” can be any tube, even if it has been bent into different shapes or has ... An open ended instrument has both ends open to the air. ... The formula for t
Answer:
General solution (open pipe): The length of the pipe has to be an integer multiple, n, of half of the the wavelength,
l:
L = n$\lambda$/2 ; n = 1, 2, 3, ....
The possible values for the wavelength, $\lambda$ and for the frequency, f, are then:
(The subscript n indicates that there are only certain values of the frequency and wavelength possible, one for each value of n) v is again the speed of sound in air .
General solution (closed pipe): Here the relationship between length of the pipe and wavelength is:
L = m$\lambda$/ 4 ; m = 1, 3, 5, ....
(We used a different letter, m, for the integer counting index. Please note that only odd-numbered values of m are possible!)
The possible values for the wavelength, $\lambda$ and for the frequency, f, are then:
Explanation:
hope it will help you