Finding the Length of a Resonating Air Column

Click For Summary
To find the shortest air column closed at one end that resonates at 440Hz with a speed of sound of 352m/s, the fundamental frequency formula for a closed tube can be applied. The wavelength is calculated as the speed of sound divided by the frequency, resulting in a wavelength of 0.8m. For a closed-end air column, the length is one-fourth of the wavelength, leading to a required length of 0.2m. The discussion emphasizes using the correct formulas and understanding the relationship between frequency, wavelength, and the properties of the air column. This approach provides a clear method to solve the problem effectively.
soulja101
Messages
61
Reaction score
0

Homework Statement


What is the shortest air column, closed at one end, that will resonate at a frequency of 440Hz, when the speed of sound of 352m/s

Homework Equations



the patterns

The Attempt at a Solution



ive tried
 
Physics news on Phys.org
See your other post - the same hints apply.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

Similar threads

Replies
7
Views
2K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 14 ·
Replies
14
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 9 ·
Replies
9
Views
5K
Replies
3
Views
6K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
7
Views
5K
  • · Replies 2 ·
Replies
2
Views
2K