Question

A sound wave has a frequency of 776 Hz in air and a wavelength of 0.52 m. What is the temperature of the air? Relate the speed of sound in air to temper ature in units of Kelvin, but answer in units of Celsius . Assume the velocity of sound at 0 degrees * C 327 m/s Answer in units of degc.

Answer 1

Answer:

142.7650889

Explanation:

I think the answer above is correct. So to find the velocity of the wave you can do: frequency*wavelength = velocity

in your case, the velocity is equal to 403.5m/s

so we know that the 403.52 is the total velocity of the wave

and the equation: velocity at 0 degrees Celsius * $\sqrt{{T}/{273}}$ where T represents temperature in Kelvins = veloctity

so we set 403.52 = 327*$\sqrt{{T}/{273}}$ and solve for T

T will then equal the degree in Kelvins

so to convert from Kelvins to degrees celsius you subtract 273 from the Kelvins value and you are left with the degrees in Celsius which equals 142.7650889 degrees Celsius