Question

A 4.137-m long pipe is in a room where the temperature is 16.164 °C. What is the frequency of the third harmonic if the pipe is closed at one end?

Answer 1

The frequency of the third harmonic if the pipe is closed at one end is 62.18 Hz.

What is frequency?

• The frequency of a repeated event is its number of instances per unit of time.

• In some cases, it is also referred to as temporal frequency or ordinary frequency to underline differences with spatial and angular frequencies, respectively.

Calculation of frequency of the third harmonic :

Given,

length of pipe = 4.137 m

v = 343 m/s

n = 3

Frequency of third hormonic is:

$f_{3}$ = 3v/4L

= 3(343m/s)/4(4.137 m)

= 62.18 Hz

Hence, the frequency of the third harmonic if the pipe is closed at one end is 62.18 Hz.

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