Question

Chloe is playing the flute some distance away from a crowd. If the atmospheric temperature is 15°C, what is the speed of the sound traveling from the flute?

Answer 1

Answer: 340.29 m/s

Step-by-step explanation:

The speed of sound varies depending on the medium through which the sound waves travel and it also varies with changes in the temperature of the medium.

In the case of air, the formula for the speed of sound
`v` is:

`v=\sqrt{(\gamma P)/(\rho)}`

Where:

`\gamma` is the Heat capacity ratio of the gas and in the case of air it is
`1.4`

`P` is the pressure.

`\rho` is the air density

Now, as we are told the temperature of the air is
`15\°C`, we are talking about a model atmosphere, according to the International Standard Atmosphere, which establishes the following values for air at
`15\°C`:

`P=101,324.72 Pa`

`\rho=1.225 kg/m^(3)`

Then:

`v=\sqrt{((1.4)(101,324.72 Pa))/(1.225 kg/m^(3))`

`v=340.29 m/s` This is the speed of sound traveling from Chloe's flute