A middle C (262 Hz) on a flute is heard when an air column that is 0.63 meters long resonates at zero Celsius.
a.How fast will sound travel if the temperature increases by 10 degrees?
b.By what factor will the frequency change?
Vs will increase 6 m/s
frequency then changes by
flamda=v
if v goes up by XX percent, then f goes up by XX percent.
since original room temp was not stated, then assume something like 28C(It is hot on stage). So temperatre increase by 10C (WOW)., then
orig vs=342 + .6*28=358m/s
Now if it increases by 6m/s, then
vs=364m/s
frequency new= 262(364/358)=266 hz
If depends on relative humidity in the pipe also, which changes as temp changes.