Question

What is the speed of sound in air at 50°F (in ft/s)?

Answer 1

Answer:

Speed of air = 1106.38 ft/s

Explanation:

Speed of sound in air with temperature

$v_{air}=331.3\sqrt{1+\frac{T}{273.15}}$

Here speed is in m/s and T is in celcius scale.

T = 50°F

$T=(50-32)\times \frac{5}{9}=10^0C$

Substituting

$v_{air}=331.3\sqrt{1+\frac{10}{273.15}}=337.31m/s$

Now we need to convert m/s in to ft/s.

1 m = 3.28 ft

Substituting

$v_{air}=337.31\times 3.28=1106.38ft/s$

Speed of air = 1106.38 ft/s