Question

A drainage pipe running under a freeway is 30.0 m long. Both ends of the pipe are open, and wind blowing across one end causes the air inside to vibrate. If the speed of sound on a particular day is 340 m/s, what will be the fundamental frequency of air vibration in this pipe

Answer 1

Answer:

The fundamental frequency of air vibration in this pipe 5.41 kHz.                    

Explanation:

Given that,

A drainage pipe running under a freeway is 30.0 m long, l = 30 m

The speed of sound is, v = 340 m/s

We need to find the fundamental frequency of the canal. For a tube open at both the ends, the fundamental frequency is given by :

$f=\dfrac{v}{2l}\\\\f=\dfrac{336}{2\times 3.1\times 10^{-2}}\\\\f=5419.35\ Hz\\\\f=5.41\ kHz$

So, the fundamental frequency of air vibration in this pipe 5.41 kHz.