Find the temperature of air given frequency and wavelength?

[miamirulz29]

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.

 

[rl.bhat]

Can you find out the relation between temperature and the velocity of the sound in the air?

 

[miamirulz29]

How do I know what the velocity of the sound in the air is?

 

[rl.bhat]

How do I know what the velocity of the sound in the air is?

It is given. 327 m/s at zero degree Celsius.

 

[miamirulz29]

So would you set up a proportion?

327/389=0/x

But you can't do that because x would be zero.

 

[rl.bhat]

In this problem temperature must be in absolute scale.
So V/Vo = Sqrt(T/To)