Find the temperature of air given frequency and wavelength?

In summary, to find the temperature of the air, we can use the equation V= lambda * frequency and the given velocity of sound at 0 degrees Celsius, 327 m/s. To find the relation between temperature and velocity, we can use the equation V/Vo = Sqrt(T/To), where Vo is the velocity at 0 degrees Celsius and T is the temperature. Therefore, using a proportion would not work and the temperature must be in absolute scale.
  • #1
miamirulz29
62
0

Homework Statement


A sound wave has a frequency of 722 hz and a wavelength of .54 m. What is the temperature of the air? Assume the velocity of sound at 0 degrees Celsius is 327 m/s.


Homework Equations


V= lambda * frequency


The Attempt at a Solution


I have no idea what to from there? The velocity of the wave is 389.88 m/s. Thanks in advance.
 
Physics news on Phys.org
  • #2
Can you find out the relation between temperature and the velocity of the sound in the air?
 
  • #3
How do I know what the velocity of the sound in the air is?
 
  • #4
miamirulz29 said:
How do I know what the velocity of the sound in the air is?
It is given. 327 m/s at zero degree Celsius.
 
  • #5
So would you set up a proportion?

327/389=0/x

But you can't do that because x would be zero.
 
  • #6
In this problem temperature must be in absolute scale.
So V/Vo = Sqrt(T/To)
 

What is the relationship between frequency and temperature of air?

The temperature of air is directly proportional to the frequency of the sound waves passing through it. This means that as the frequency increases, the temperature of air also increases.

How does wavelength affect the temperature of air?

Wavelength and temperature of air have an inverse relationship. This means that as the wavelength decreases, the temperature of air increases. Similarly, as the wavelength increases, the temperature of air decreases.

What is the formula for finding the temperature of air given frequency and wavelength?

The formula for finding the temperature of air given frequency and wavelength is T = (f * λ) / k, where T is the temperature in Kelvin, f is the frequency in Hertz, λ is the wavelength in meters, and k is a constant value.

Can the temperature of air be determined using only frequency and wavelength?

No, the temperature of air cannot be determined using only frequency and wavelength. Other factors such as atmospheric pressure and humidity also play a role in determining the temperature of air.

How can the temperature of air affect the propagation of sound waves?

The temperature of air can affect the speed of sound, which in turn can affect the propagation of sound waves. As the temperature increases, the speed of sound also increases, resulting in faster propagation of sound waves. This can also lead to a change in the frequency and wavelength of sound waves.

Similar threads

  • Introductory Physics Homework Help
Replies
5
Views
1K
  • Introductory Physics Homework Help
Replies
6
Views
2K
  • Introductory Physics Homework Help
Replies
16
Views
897
  • Introductory Physics Homework Help
Replies
5
Views
750
  • Introductory Physics Homework Help
Replies
3
Views
6K
Replies
1
Views
854
  • Introductory Physics Homework Help
Replies
1
Views
4K
  • Introductory Physics Homework Help
Replies
8
Views
918
  • Introductory Physics Homework Help
Replies
7
Views
5K
  • Introductory Physics Homework Help
Replies
7
Views
1K
Back
Top