Sound needs a medium to travel. The speed of sound needs a medium to carry on their wave.
When the temperature of the medium increases the molecules have more energy as a result molecules move faster so the speed of sound can travel faster.
The speed of sound in air at 0 ˚c is 346 m/s.
so
V=346°c
If air temperature increases by 1°c the speed increase by 0.606
So our formula will be
V=331.4m/s+(0.606m/s/˚c)T
Which T indicates the temperature of its units in Celsius.
Example:
Determine the speed of sound at 45.0˚c
Given:T=45.0˚c
Formula:
V=331.4m/s+(0.606m/s/˚c)T
V=331.4m/s+(0.606m/s/˚c)45 (substitude the T in formula)
V=358.67 m/s
