The formula to calculate the resonant frequency is:
\[ f = \frac{v}{4L} \]
Where:
Let's say the speed of sound is 343 m/s and the length of the pipe is 1 meter. The resonant frequency would be calculated as follows:
\[ f = \frac{343}{4 \times 1} = 85.75 \text{ Hz} \]
So, the resonant frequency is 85.75 Hz.
A J Pipe Resonator is a type of acoustic resonator that is commonly used in exhaust systems to reduce or eliminate unwanted sound frequencies. It consists of a pipe that is closed at one end and open at the other, forming a "J" shape. The length of the pipe is designed to create a resonant frequency that cancels out specific sound frequencies, thereby reducing noise. J Pipe Resonators are often used in automotive applications to improve the sound quality of the exhaust system and reduce drone at certain engine speeds.