What is the benefit of cooling down after exercise?
1 answer:
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Answer:
The length of the longer pipe is L = 2.30 m
Explanation:
Given that:
Two open organ pipes, sounding together, produce a beat frequency of 8.0 Hz . The shorter one is 2.08 m long.
How long is the other pipe?
From above;
The formula for the frequency of open ended pipes can be expressed as:
where n = 1 ( since half wavelength exist between those two pipes)
v = 343 m/s and L = 2.08 m
Thus, the shorter pipe produces a frequency of :
Also; we know that the beat frequency was given as 8.0 Hz
Then,
The lower frequency of the longer pipe = ( 82.45 - 8.0 )Hz
The lower frequency of the longer pipe = 74.45 Hz
Finally;
From the above equation; make Length L the subject of the formula. Then,
The length of the longer pipe is L =
The length of the longer pipe is L =
The length of the longer pipe is L =
The length of the longer pipe is L = 2.30 m
Explanation:
It is given that,
Fundamental frequency, f = 220 Hz
(a) We know that at 0 degrees, the speed of sound in air is 331 m/s.
For open pipe,
l is the length of pipe
Also,
(b) Let f' is the fundamental frequency of the pipe at 30 degrees and v' is its speed.
v' = 348.71 m/s
So,
f' = 232.4 Hz
Hence, this is the required solution.