Solution Found!
Answer: You have a stopped pipe of adjustable length close
Chapter 16, Problem 32E(choose chapter or problem)
Problem 32E
You have a stopped pipe of adjustable length close to a taut 85.0-cm, 7.25-g wire under a tension of 4110 N. You want to adjust the length of the pipe so that, when it produces sound at its fundamental frequency, this sound causes the wire to vibrate in its second overtone with very large amplitude. How long should the pipe be?
Questions & Answers
QUESTION:
Problem 32E
You have a stopped pipe of adjustable length close to a taut 85.0-cm, 7.25-g wire under a tension of 4110 N. You want to adjust the length of the pipe so that, when it produces sound at its fundamental frequency, this sound causes the wire to vibrate in its second overtone with very large amplitude. How long should the pipe be?
ANSWER:Solution 32E
Step 1:
To calculate the 2nd overtone wavelength and frequency of wire,
Given data,
- Length of wire, l= 85cm
Using 1 cm = l= 85
- Mass of the wire, m= 7.25 g
Using 1 g = m= 7.25
- Tension on the wire,
T=4110 N
To find,
- Speed of the wave on the wire,v=?
- Wavelength of 2nd overtone,
- Frequency of 2nd overtone,