# Can constant velocities produce a longitudinal wave?

• luckis11
In summary, it seems that if every particle is moving with constant velocity between each change of its direction, and each change of its direction means a collision by contact with another particle, then it can produce a trevelling wavefront.
luckis11
At the simulators:
http://wildcat.phys.northwestern.edu/vpl/waves/wavetypes.html
http://www.ngsir.netfirms.com/englishhtm/Lwave.htm

The velocity of each particle between two successive collisions is obviously not constant and it is defined by harmonic oscillation equations.

What a wavefront is (in this case of many particles moving and "colliding" according to harmonic oscillations), is the where a close distance between the particles is, as seen at every frozen frame of the movie. And there is a gradual increase of this distance as we are departing from the wavefront.

My question is, suppose every particle is moving with constant velocity between each change of its direction, and each change of its direction means a collision by contact with another particle. In this case, can it be produced a trevelling wavefront which will again mean "the where a close distance between the particles is, as seen at every frozen frame of the movie. And there is a gradual increase of this distance as we are departing from the wavefront"?

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luckis11 said:
My question is, suppose every particle is moving with constant velocity between each change of its direction, and each change of its direction means a collision by contact with another particle. In this case, can it be produced a trevelling wavefront which will again mean "the where a close distance between the particles is, as seen at every frozen frame of the movie. And there is a gradual increase of this distance as we are departing from the wavefront"?

A particle changing direction can't have constant velocity. It has to slow down to 0 (accelerating from 0 to V or V to 0 instantaneously would require an infinite force); then it has to speed back up in the opposite direction.

http://www.surendranath.org/Applets/Waves/Lwave01/Lwave01Applet.html
At the above simulator, the velocity of each particle between two successive collisions seems constant, but I guess its't not, as it is harmonic oscillation motion:
http://wildcat.phys.northwestern.edu/vpl/waves/wavetypes.html

So anybody knows who can answer my initial question? I tried to contant the programmers of these simutators but they are not responding.

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## 1. Can constant velocities produce a longitudinal wave?

Yes, constant velocities can produce a longitudinal wave. This type of wave occurs when particles vibrate in the same direction as the wave propagation, creating areas of compression and rarefaction. It can be produced by a constant motion of a source, such as a vibrating object or a continuous flow of a medium.

## 2. What are some examples of constant velocities producing longitudinal waves?

Examples of constant velocities producing longitudinal waves include sound waves traveling through air, seismic waves traveling through the Earth's crust, and ultrasound waves used in medical imaging.

## 3. How is the speed of a longitudinal wave affected by constant velocities?

The speed of a longitudinal wave is not affected by constant velocities. The speed of a wave is determined by the properties of the medium it is traveling through, such as density and elasticity, and not by the source's velocity.

## 4. Can a longitudinal wave travel through a vacuum?

No, a longitudinal wave cannot travel through a vacuum. This type of wave requires a medium to propagate, as the particles of the medium are what are vibrating to create the wave. In a vacuum, there is no medium for the wave to travel through.

## 5. How do longitudinal waves differ from transverse waves?

Longitudinal waves differ from transverse waves in the direction of particle movement. In a longitudinal wave, the particles move parallel to the direction of wave propagation, while in a transverse wave, the particles move perpendicular to the direction of wave propagation. Longitudinal waves also have areas of compression and rarefaction, while transverse waves have areas of high and low amplitude.

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