A closed organ pipe has a length of 2.40 m?

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SUMMARY

A closed organ pipe with a length of 2.40 m produces a fundamental frequency of 35.7 Hz, calculated using the speed of sound at 343 m/s. When a second pipe is played simultaneously, a beat frequency of 1.40 Hz indicates that the second pipe is 0.10 m longer than the first. The relevant equations for solving these problems include the fundamental frequency formula for closed pipes and the relationship between beat frequency and frequency difference. Understanding these concepts is essential for accurately solving similar acoustics problems.

PREREQUISITES
  • Fundamental frequency calculation for closed organ pipes
  • Beat frequency concept in acoustics
  • Speed of sound in air (343 m/s)
  • Basic algebra for solving equations
NEXT STEPS
  • Study the formula for the fundamental frequency of closed pipes
  • Learn about beat frequency and its applications in acoustics
  • Explore the effects of pipe length on pitch and frequency
  • Practice solving acoustics problems involving multiple sound sources
USEFUL FOR

Students studying physics, particularly in acoustics, music educators, and anyone interested in the principles of sound production in musical instruments.

TheCuriosity
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A closed organ pipe has a length of 2.40 m.

a.) What is the frequency of the note played by the pipe? Use
343 m/s as the speed of sound.

b.) When a second pipe is played at the same time, a 1.40 Hz beat note is heard.
By how much is the second pipe too long?

The a.) problem's solution is 35.7 Hz. and b.) problem's solution is 0.10 m

The actual problem here is that I don't know how to properly solve b.)
 
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Please show some work.
- What are the relevant equations for this problem?
- What have you done to try to solve the problem?
 
Curiosity,there's a template provided.Use that and you won't get into any trouble
 
I'm lost... I'm new here.I just don't know here to post my question lol. I wasn't trying to solve this problem. Can you guys help me and tell me how to solve both of a.) and b.)and tell me where can I post this question if this was the wrong section.Thanks in advanced :)
 
I just read Mentor's message. I'm sorry for messing up xDI understand that you guys won't do my homework, but could you PLEASE help me and explain how to solve b.) ?
 
TheCuriosity said:
I understand that you guys won't do my homework, but could you PLEASE help me and explain how to solve b.) ?
This is the correct section.So as the Mentor said,
- What are the relevant equations for this problem?
- What have you done to try to solve the problem?

Only then will we be able to help you.Sorry :frown:
If that was a question given to you,you must be knowing some relevant equations or some method to solve it.
 

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