Question
Please explain
A pipe that is closed on one end is 1.2 meters long. What are its fundamental frequency and its first two overtones? You punch out the closed end of the pipe What are its first and second harmonic frequencies? The Train's Whistle You hear the train's whistle at 3000Hz as it comes at you and at 2400Hz as it moves away. Using only the two frequencies given above, what is the velocity of the train? Use this velocity and one of the frequencies above to determine the frequency of the whistle. What is it? If the whistle on the train was a half pipe and that the sound emitted was at its first overtone, what is the length of the whistle? If the whistle on the train was a pipe open at both ends and that the sound emitted was at its first harmonic, what is the length of the whistle? The whistle on the train wasn't a whistle, but a guitar string of mass 20g and length 1.2meters. If the guitar string was plucked and it was resonating at its fundamental frequency, what is the tension of the string?
Explanation / Answer
Q1.
fundamental frequency=V/(4*L)=70.83 Hz
first overtone=3*fundamental frequency=212.5 Hz
second overtone=5*fundamental frequency=354.16 Hz
if closed end is punched out,first harmonic=v/(2*L)=141.66 Hz
second harmonic=2*v/(2*L)=283.22 Hz