# Find the temperature of air given frequency and wavelength?

1. Jan 21, 2010

### miamirulz29

1. The problem statement, all variables and given/known data
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.

2. Relevant equations
V= lambda * frequency

3. 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.

2. Jan 21, 2010

### rl.bhat

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

3. Jan 21, 2010

### miamirulz29

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

4. Jan 21, 2010

### rl.bhat

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

5. Jan 21, 2010

### miamirulz29

So would you set up a proportion?

327/389=0/x

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

6. Jan 22, 2010

### rl.bhat

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