Calculating the speed of longitudinal wave

Click For Summary
SUMMARY

The discussion centers on understanding the speed of longitudinal waves, particularly in the context of a slinky. Participants clarify that when a force (F) is applied to one end of the slinky, the resulting velocity (v) of the wave is not constant due to the continuous change in momentum as the wave propagates. Key concepts include the relationship between force, velocity, and the medium's properties, such as spring constant and linear mass density, which influence wave behavior.

PREREQUISITES
  • Understanding of longitudinal waves and wave mechanics
  • Familiarity with Newton's laws of motion
  • Knowledge of spring constant and linear mass density
  • Basic concepts of momentum and force dynamics
NEXT STEPS
  • Study the mathematical formulation of wave speed in longitudinal waves
  • Explore animations or simulations of wave propagation in slinkies
  • Learn about the relationship between force, momentum, and velocity in wave mechanics
  • Investigate the effects of varying spring constants on wave speed
USEFUL FOR

Students in physics, educators explaining wave mechanics, and anyone interested in the dynamics of wave propagation in elastic media.

bolzano95
Messages
89
Reaction score
7

Homework Statement


I didn't quite understand my professor when he defined the speed of longitudinal wave.
Lets say I have a slinky and on one side we act with a force F along the slinky. Well, he said that this part then starts to move with velocity v.
But how? v isn't constant...

Homework Equations

The Attempt at a Solution

 
Physics news on Phys.org
bolzano95 said:
I didn't quite understand my professor when he defined the speed of longitudinal wave.
Lets say I have a slinky and on one side we act with a force F along the slinky. Well, he said that this part then starts to move with velocity v.
But how? v isn't constant...
Have you seen animations or videos of this situation? As with transverse waves, the spring constant and the linear mass density enter into the equations, right?

Is your main question about the wavefront at the start of a wave packet, or do you have problems with the continuously propagating case too?

 
Of course! I totally get it now :)
I had a problem with the force and the velocity (constant force- velocity is changing). I realized because there is a force acting on the medium and therefore there is a change is momentum. And from this change of momentum you take the velocity, right?
 

Similar threads

Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
Replies
8
Views
12K
  • · Replies 11 ·
Replies
11
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K