Find the temperature of air given frequency and wavelength?

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Homework Help Overview

The problem involves determining the temperature of air based on the frequency and wavelength of a sound wave. The original poster provides specific values for frequency and wavelength, along with a reference velocity of sound at 0 degrees Celsius.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between temperature and the velocity of sound, with some questioning how to determine the velocity of sound in air. There is mention of setting up a proportion to relate the velocities and temperatures, but concerns are raised about the validity of this approach.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the problem. Some have suggested a formula relating velocity and temperature, while others are clarifying the given information and questioning assumptions about the setup.

Contextual Notes

There is an assumption that temperature must be measured on an absolute scale, and the reference velocity of sound at 0 degrees Celsius is noted as a constraint in the problem.

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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