chingel said:
Does it mean that the string is moving through air without displacing it?
The tuning fork, or the diameter of the string, is much smaller than the wavelength of the sound in air. Therefore the pressure variations form "opposite sides" of the fork or string are almost out of phase with each other, and destrictiely interfere with each other at any position a long way from the source of the vibration.
If you hold a tuning fork close to your ear and rotate it slowly, you can hear the effects of the phase differences as changes in the sound volume. THe sound is loudest when the
difference in the distances of the two prongs from your ear is greatest.
Does this also mean that the string will fade away quicker when it is attached to a soundboard, because it's energy is being used up at a faster rate to displace air?
Yes, but for a given amount of energy, making a sound lound enough to hear for say 2 seconds is more useful tham a makiing a "sound" that is too soft to hear but lasts for 2 minutes.
What do you mean by the harmonics of the soundboard allowing it to do it at a minimal cost of energy? Isn't the same energy always required to make a sound with the same loudness?
I don't undestand what rgcldr meant by that.
The speed of sound traveling through a solid object like a soundbord is much faster than the speed in air. Therefore, you can make a soundboad with a size similar to the wavelength of the sound in air (say of the order of 0.1 to 1.0m, for a tuning fork) and the whole area of the soundboard will vibrate almost in the same phase.
This vibration is transmitted to the air and produces a wave pattern that close to a plane traveling wave, which does not reduce in amplitude or destructively inferfere with itself as it travels through the air, so the sound can be heard a a large distance from the source.
I don't understand how the aluminum can can resonate the sound. Doesn't the can get resonated by the sound already made by the fork? If it is not against it, where does the can get the extra energy?
It is the air inside the can which is resonating, not the can itself. The sound is then propagated into the air from the opening in the can. Even if the opening is small, the difference between this and a tuning fork is that there is only one source of the sound, not two sources close together and out of phase. The sound tends to propagate as a spherical wave and the amplitude is proportional to 1/r
2 at distance r from the can, compared with the double source (dipole) from a tuning fork where the amplitude is proportional to 1/r
4.