When Will Node and Antinode Energies Be Equal?

  • Context: Undergrad 
  • Thread starter Thread starter varunika
  • Start date Start date
  • Tags Tags
    Energy Nodes
Click For Summary
SUMMARY

The discussion focuses on determining the time when the energy of a node equals the energy of an antinode in a wave system with a time period T. Key points include the understanding that nodes have zero amplitude while antinodes have maximum amplitude. The maximum potential energy is defined as 1/2*ρ*ω²A², which is also equal to kinetic energy. The conversation emphasizes the need to analyze the sum of kinetic and potential energy at the antinode to solve the problem effectively.

PREREQUISITES
  • Understanding of wave mechanics, specifically nodes and antinodes.
  • Familiarity with the concepts of potential energy and kinetic energy in wave systems.
  • Knowledge of the wave equation and its parameters, including amplitude (A), density (ρ), and angular frequency (ω).
  • Basic mathematical skills to manipulate equations involving energy calculations.
NEXT STEPS
  • Research the wave equation and its implications for energy distribution in standing waves.
  • Learn about the relationship between amplitude and energy in wave mechanics.
  • Study the principles of energy conservation in oscillatory systems.
  • Explore detailed examples of energy calculations in nodes and antinodes using real-world applications.
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, as well as educators seeking to enhance their understanding of energy distribution in wave systems.

varunika
Messages
19
Reaction score
0
at what time will the energy of a node be equal to energy of an antinode when the time period is T?
 
Physics news on Phys.org
Hi
Looks like homework (which should be posted elsewhere - see the top of the list of topics). What do you think about this and what research have you done already? PF makes a point of not just giving answers without the student having shown they have tried a bit.
 
sorry... actually m a new user on this website...unaware of the rules..
what i know is...
that node has zero amplitude..n antinode has maximum amplitude. and that the maximum potential energy= 1/2*ρ*ω2A2.
which also equals the kinetic energy..
but i am unable to relate the above information in order to solve the given query.
please guide me if i m wrong anywhere.
 
Last edited:
Afair, you need to consider the sum of KE and PE at the Antinode. What will the energy be at a node? This link gives a good treatment for strings. I think the answer to your question in in there.
 

Similar threads

High School Node at a closed end and an antinode at a open end of a tube
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Standing wave in cylindar vs cone
  • · Replies 6 ·
Replies
6
Views
4K
High School Solving Confusion with Waves in Physics
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad How to Determine Nodes and Antinodes in a Closed Pipe?
  • · Replies 2 ·
Replies
2
Views
6K
Difference between pressure antinodes and displacement node?
  • · Replies 1 ·
Replies
1
Views
3K
Find Energy of Antinode & Node in Standing Wave of Time Period T
  • · Replies 16 ·
Replies
16
Views
3K
Undergrad Grating element of an acoustic grating
  • · Replies 17 ·
Replies
17
Views
3K
Question about multiple runtimes on MPI for MCNP6
  • · Replies 5 ·
Replies
5
Views
3K
High School Is this an accurate description of standing waves?
  • · Replies 6 ·
Replies
6
Views
2K
Undergrad Nodes in a standing wave and energy transmittance
  • · Replies 8 ·
Replies
8
Views
3K