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Physics 10 Online
OpenStudy (anonymous):

Velocity of sound increases on a cloudy day. Why?

OpenStudy (anonymous):

On a cloudy day, the amount of water vapor in the atmosphere is much higher than on a dry day. Thus, the density of dry air decreases Since the speed of sound is inversely proportional to the square root of the density, sound travels faster on a cloudy day than on a dry day. Ergo, velocity of sound increase.

OpenStudy (anonymous):

not yet understood my friend...

OpenStudy (anonymous):

well, since the formula for the speed of sound is c = (dp / dρ)^1/2, where c = sound velocity (m/s, ft/s), dp = change in pressure (Pa, psi), dρ = change in density (kg/m3, lb/ft3). Then on a cloudy day, where the amount of water vapor in the atmosphere is greater, the density of dry air, which is denoted bv the formula, ρ = p/ RspecificT, where ρ is the air density, p is absolute pressure, Rspecific is the specific gas constant for dry air, and T is absolute temperature decreases. So, since speed of sound is inversely proportional to the square root of the density, sound travels faster on a cloudy day than on a dry day.

OpenStudy (anonymous):

thats fine thanks

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