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In: Physics

A rectangular room is 12 meters long, 6 meters wide, and 3 meters high. 1] Calculate...

A rectangular room is 12 meters long, 6 meters wide, and 3 meters high.

1] Calculate the first three axial modes for the length of the room.  

2] Find the wavelength, then convert to frequencies, assuming that the speed of sound in the room is 343 m/s.

3] Calculate the first 3 axial modes [Wavelenghts and frequencies] for the width of the room.

4] Calculate the first axial modes [Wavelenghts and frequencies] for the height of the room.

It is best if modes are evenly distributed so there are no noticeable nodes and antinodes in the room.

In this case, we have some of the same modes appearing in more than one direction. Why did that happen? what could you do with the initial design of the room to prevent it from happening?

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