Find the temperature of air given frequency and wavelength?

AI Thread Summary
To find the temperature of air given a sound wave's frequency and wavelength, the velocity of sound is calculated using the formula V = lambda * frequency, resulting in 389.88 m/s. The velocity of sound at 0 degrees Celsius is known to be 327 m/s. The relationship between the velocity of sound and temperature is expressed as V/Vo = sqrt(T/To), where To is the reference temperature (0°C). To solve for the temperature, the equation can be rearranged to find T. This approach allows for determining the air temperature based on the provided sound wave parameters.
miamirulz29
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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.
 
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Can you find out the relation between temperature and the velocity of the sound in the air?
 
How do I know what the velocity of the sound in the air is?
 
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.
 
So would you set up a proportion?

327/389=0/x

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