Finding freqency from 2 insturments playing together

  • Thread starter Thread starter Patdon10
  • Start date Start date
Click For Summary
SUMMARY

The discussion centers on calculating the frequencies of an open organ pipe when played alongside a guitar string with a fundamental frequency of 420 Hz. The calculated possible frequencies for the organ pipe are 418 Hz and 422 Hz, based on the observed beat frequency of 6 beats per second. Additionally, the original tension in the guitar string is to be determined, along with the length of the organ pipe, using the given parameters such as the mass per unit length of the string (2 g/m) and the speed of sound (343 m/s).

PREREQUISITES
  • Understanding of fundamental frequency and beat frequency concepts
  • Knowledge of wave mechanics and sound propagation
  • Familiarity with the physics of strings and organ pipes
  • Ability to apply equations related to tension and frequency
NEXT STEPS
  • Study the relationship between tension and frequency in guitar strings
  • Learn about the harmonic series in open organ pipes
  • Explore the calculation of beat frequency in wave interference
  • Investigate the physics of sound waves and their propagation in different mediums
USEFUL FOR

Musicians, physics students, and educators interested in the principles of sound, wave mechanics, and instrument acoustics.

Patdon10
Messages
85
Reaction score
0

Homework Statement


You are playing a note that has a fundamental frequency of 420 Hz on a guitar string of length 49 cm. At the same time, your friend plays a fundamental note on an open organ pipe, and 6 beats per seconds are heard. The mass per unit length of the string is 2 g/m. Assume the velocity of sound is 343 m/s.

a. What are the possible frequencies of the open organ pipe? (Enter your answers from smallest to largest.)

b.When the guitar string is tightened, the beat frequency decreases. Find the original tension in the string.

c.What is the length of the organ pipe?

Homework Equations





The Attempt at a Solution



The book I'm using is pretty terrible, and shows almost no examples. I learn through examples, and I'm absolutely willing to try. This problem is from my last homework assignment (meaning it won't help my grade), I'd just like to learn how to do it. Can someone give me a nudge in the right direction?
 
Physics news on Phys.org
The answer for a is 418 hz and 422 hz
 

Similar threads

Are the 2nd and 3rd problems in this video correctly solved? (charged dipole and organ pipe problems)
  • · Replies 3 ·
Replies
3
Views
1K
Open organ pipe what does 6 beats per second mean?
  • · Replies 3 ·
Replies
3
Views
4K
Resonant Lengths in open air column question
  • · Replies 6 ·
Replies
6
Views
3K
A closed organ pipe has a length of 2.40 m?
  • · Replies 5 ·
Replies
5
Views
4K
How Does Temperature Affect the Pitch of a Violin Played Outdoors?
  • · Replies 5 ·
Replies
5
Views
2K
Violin frequencies and harmonics
  • · Replies 2 ·
Replies
2
Views
4K
Find two lowest frequencies standing wave
  • · Replies 5 ·
Replies
5
Views
6K
Music Mystery: 2(Vsound) for the 2nd Harmonic?
  • · Replies 2 ·
Replies
2
Views
2K
Harmonics, Notes, Beat frequency
  • · Replies 2 ·
Replies
2
Views
3K
Find Length of Closed Pipe for Equal Frequency
  • · Replies 3 ·
Replies
3
Views
2K