Energy stored in a standing wave

In summary, the conversation discusses finding the energy stored in a standing wave on a string. The suggested method is to find the maximum kinetic energy for a small segment and then integrate over the string. One person finds this strange because the kinetic energy is not always at its maximum all over the string at the same time. Another person suggests that the kinetic energy is at its maximum when the potential energy is zero, and the rest of the energy is stored as potential energy.
  • #1
kasse
384
1
I'm trying to find the energy stored in a standing wave on a string. My book suggests to find the maximum kinetic energy for a small segment of the sting, and then integrate over the string.

I find this strange, because the kinetic energy is certainly not at its maximum all over the string at the same time. Can anyone explain?

Edit: I've been thinking for a while now. Maybe it's because when the kinetic energy is not at its max, the rest of the total energy of the segment is stored as potential energy, and that the kinetic energy is at its max when the potential energy is zero?
 
Physics news on Phys.org
  • #2
That is true.
 

FAQ: Energy stored in a standing wave

What is a standing wave?

A standing wave is a type of wave that occurs when two waves of the same frequency and amplitude travel in opposite directions and interfere with each other. The resulting wave pattern appears to be standing still, hence the name "standing wave."

What is energy stored in a standing wave?

Energy stored in a standing wave refers to the potential energy that is stored in the oscillations of the wave. This energy is constantly being exchanged between kinetic and potential energy as the wave oscillates.

How is energy stored in a standing wave?

The energy in a standing wave is stored in the form of potential energy in the oscillating particles of the medium. As the wave moves back and forth, the particles gain kinetic energy and lose potential energy, and vice versa.

What factors affect the energy stored in a standing wave?

The energy stored in a standing wave is affected by the amplitude, frequency, and the medium through which the wave travels. A larger amplitude and higher frequency will result in a greater amount of energy being stored in the wave.

How is energy stored in a standing wave used in real life?

The energy stored in a standing wave is used in many practical applications, such as musical instruments, where the energy stored in standing sound waves produces distinct musical notes. It is also utilized in medical imaging technologies, such as ultrasound, to create images of internal body structures.

Similar threads

What does the square of a differential mean?
Replies
2
Views
2K
B Potential energy in standing wave compared to traveling wave
Replies
1
Views
1K
I Let a standing wave of length L go, get traveling wave of length 2L?
Replies
11
Views
1K
I Is the energy destroyed in this experiment?
Replies
15
Views
1K
I Can the energy in two waves cancel out? If so, why?
Replies
5
Views
2K
How Do You Calculate the Energy of a Standing Wave?
Replies
21
Views
2K
How Does the Positive Spring Constant k = F/x Apply in Bow Mechanics?
Replies
4
Views
1K
I Is Entropy the inexorable conversion of potential to kinetic energy?
Replies
17
Views
2K
Is the Photoelectric Effect Proof That Light Is a Particle?
2
Replies
35
Views
2K
B Does a hot coffee have bigger mass than a cold coffee?
3
Replies
102
Views
5K

Hot Threads

Recent Insights

Back
Top