Question

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

Answer 1

Speed of air = 1106.38 ft/s

Step-by-step explanation:

Speed of sound in air with temperature

`v_(air)=331.3\sqrt{1+(T)/(273.15)} \\`

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

T = 50°F

`T=(50-32)* (5)/(9)=10^0C \\`

Substituting

`v_(air)=331.3\sqrt{1+(10)/(273.15)}=</p><p>337.31m/s \\`

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

1 m = 3.28 ft

Substituting

`v_(air)=337.31* 3.28=1106.38ft/s \\`

Speed of air = 1106.38 ft/s