How Do Wavelengths Determine Sound Speed in a Closed Pipe?

AI Thread Summary
In a closed pipe of length 0.850m, a tuning fork at 512 Hz generates standing waves, with the open end acting as an antinode. The possible wavelengths calculated include 3.40 m, 1.13 m, 0.680 m, and 0.486 m, each corresponding to different speeds of sound in air. The most reasonable wavelength for calculating sound speed is 0.680 m, which aligns with the formula for wavelengths in closed pipes, Wavelength = 4L/(2n-1). Understanding standing waves and their harmonics is crucial for deriving these wavelengths. Mastery of this concept will aid in solving similar problems effectively.
dulaville
Messages
2
Reaction score
0
Homework Statement

A tuning fork of frequency 512 Hz is used to generate a standing wave pattern in a closed pipe, 0.850m long. A strong resonant note is heard indicating that an antinode is located
at the open end of the pipe.

frequency = 512Hz
length = 0.850m

a - What are the possible wavelengths for this note?
b - Which wavelength will give the most reasonable value for the calculation of the speed of sound in air?

Now this is for HW and i have the answer, but all I need is to know how to figure out how to get there. Ideas?

a - 3.40 m @ 1.74 x 10^3 m/s
1.13 m @ 580 m/s
0.680 m @ 348 m/s
0.486 m @ 249 m/s
b - 0.680m

Thanks.
 
Physics news on Phys.org
You will need to know about standing waves and possible wavelengths to produce standing waves.
Have you been taught the derivation of the formula Wavelength = 4L/(2n-1) where n is the nth harmonic?
(Usually this is Taught as 4L/n where n = 1, 3, 5.. etc.
 
Look up some pictures from a textbook. That will help you understand where that equation comes from.
 
Thread 'Struggling to make relation between elastic force and height'

Thread 'Struggling to make relation between elastic force and height'

Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
View full post »
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »

Similar threads

How to find the wavelength of the sound of the tuning fork?
Replies
15
Views
9K
Tuning fork standing wave in a water pipe
Replies
2
Views
5K
Resonance box with tuning fork, standing wave
Replies
4
Views
3K
Optimizing Resonance Length for Closed-End Pipe with a Tuning Fork
Replies
2
Views
2K
How does water affect resonance in organ pipes?
Replies
10
Views
2K
Sound waves in a closed pipe Problem
Replies
12
Views
12K
What Is the Correct Water Level for the Third Resonance in a Closed-Open Tube?
Replies
3
Views
4K
What Determines the Speed of Sound in an Organ Pipe?
Replies
31
Views
3K
Speed of Sound using a Resonant tube
Replies
12
Views
4K
Resonant Lengths in open air column question
Replies
6
Views
3K

Hot Threads

Recent Insights

Back
Top