Basic properties of transverse and longitudinal waves
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Information and graphics adapted from https://www.acs.psu.edu/drussell/demos/waves/wavemotion.html
Longitudinal Waves
In a longitudinal wave the particle displacement is parallel to the direction of wave propagation. The animation below shows a one-dimensional longitudinal plane wave propagating (moving) down a tube. The particles do not move down the tube with the wave; they simply oscillate back and forth about their individual equilibrium positions.Pick a single particle and watch its motion. The wave is seen as the motion of the compressed region (ie, it is a pressure wave), which moves from left to right.
The second animation below shows the difference between the oscillatory (back-and-forth) motion of individual particles and the propagation (movement) of the wave through the medium. The animation also identifies the regions of compression and rarefaction.
The P waves (Primary waves) in an earthquake are examples of Longitudinal waves. The P waves travel with the fastest velocity and are the first to arrive.
To see a animations of spherical longitudinal waves check out:
Sound Radiation from Simple Sources
Radiation from Cylindrical Sources
Question 1
1.
Look at the animations of longitudinal waves above. What happens to the particles of matter (red dot) as the waves move through them?
Question 2
2.
The P-waves move fastest and arrive first. (This is why they're called Primary Waves.)
Question 3
3.
In a longitudinal wave the particles move ______________________ to the direction of the wave.
Transverse Waves
In a transverse wave the particle displacement is perpendicular to the direction of wave propagation. The animation below shows a one-dimensional transverse plane wave propagating from left to right. The particles do not move along with the wave; they simply oscillate (move) up and down about their individual equilibrium positions as the wave passes by. Pick a single particle and watch its motion.
The S waves (Secondary waves) in an earthquake are examples of Transverse waves. S waves propagate (move) with a velocity slower than P waves, arriving several seconds later.
Question 4
4.
Look at the animation of the transverse wave above. What happens to the particles of matter (red dot) as the waves move through them?
Question 5
5.
In a transverse wave the particles move ______________________ to the direction of the wave.
Question 6
6.
The S-waves move fastest and arrive first. (This is why they're called Secondary Waves.)
Water Waves
Water waves are an example of waves that involve a combination of both longitudinal and transverse motions. As a wave travels through the waver, the particles travel in clockwise circles. The radius of the circles decreases as the depth into the water increases. The animation at right shows a water wave travelling from left to right in a region where the depth of the water is greater than the wavelength of the waves. I have identified two particles in orange to show that each particle indeed travels in a clockwise circle as the wave passes.
Question 7
7.
Look at the animation of the water wave above. If you were on a surf board in the ocean, how would you move in relation to the wave?