How Do You Calculate Wave Parameters and Displacement?

Click For Summary
SUMMARY

The wave described by the equation y(x,t)=0.00327sin(72.1x-2.72t) has an amplitude of 0.00327 meters. The wavelength is calculated as 0.087 radians, the period is approximately 2.31 seconds, and the frequency is 0.43 Hz. The wave velocity is determined to be 2.0 m/s. For the specific displacement at x=22.5 cm and t=18.9 s, the calculation yields a value of approximately -0.0023 m.

PREREQUISITES
  • Understanding of wave equations and their components
  • Familiarity with trigonometric functions in physics
  • Knowledge of SI units and their conversions
  • Basic skills in solving algebraic equations
NEXT STEPS
  • Study wave properties and their mathematical representations
  • Learn about the relationship between frequency, period, and wavelength
  • Explore the concept of wave velocity and its calculation
  • Practice solving displacement problems using wave equations
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and anyone interested in understanding wave parameters and their calculations.

hoyy1kolko
Messages
9
Reaction score
0
Physics calculation about waves?
A wave traveling along a string is described by y(x,t)=0.00327sin(72.1x-2.72t)in which the numerical constants are in SI units (0.00327m,72.1radm^-1,and 2.72rads^-1)

A)What is the amplitude of this wave?
B)What are the wavelength,period and frequency of this wave?
C)What is the velocity of this wave?
D)What is the displacement y at x=22.5cm and t=18.9s.

Please help me.my book didn't have example for this type of question.Please show me yr working .Thank you.
 
Physics news on Phys.org
welcome to pf!

hi hoyy1kolko! welcome to pf! :wink:

Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
 

Thread 'Magnitude of buoyant force in fluids of different densities'

The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?
View full post »

Similar threads

Circle approximation of a wave pulse on a string or spring
  • · Replies 29 ·
Replies
29
Views
1K
Critical frequency of Faraday Waves?
  • · Replies 6 ·
Replies
6
Views
1K
Wave function - displacement - transverse wave
  • · Replies 3 ·
Replies
3
Views
2K
Textbook 'The Physics of Waves': Reason to force us to consider complex solution for harmonic motion?
  • · Replies 3 ·
Replies
3
Views
1K
Textbook 'The Physics of Waves': Linearity of Forced Oscillator
  • · Replies 6 ·
Replies
6
Views
995
Waves - General question about Damping and how it affects a propagating wave
  • · Replies 1 ·
Replies
1
Views
3K
Waves and vibrations on a string
  • · Replies 2 ·
Replies
2
Views
2K
Wave equation, wavelenght not given
  • · Replies 6 ·
Replies
6
Views
2K
Superposition of two one-dimensional harmonic waves
  • · Replies 10 ·
Replies
10
Views
2K
Determining Parameters of a Transverse Harmonic Wave
  • · Replies 3 ·
Replies
3
Views
2K