Calculating the Equation of a Transverse Wave

Click For Summary
SUMMARY

The equation of a transverse wave can be expressed as y(x,t) = A sin(kx ± ωt + φ). For a wave with a frequency of 75.0 Hz and a wavelength of 0.190 m, the wave number (k) is calculated as 33.06, and the angular frequency (ω) is 472.4 rad/s. The amplitude (A) is given as 0.7 m, and the initial transverse velocity is +350 m/s. The phase constant (φ) needs to be determined based on the initial conditions provided.

PREREQUISITES
  • Understanding of wave mechanics and properties of waves
  • Familiarity with trigonometric functions and their applications in physics
  • Knowledge of angular frequency and wave number calculations
  • Ability to manipulate equations involving sine functions
NEXT STEPS
  • Study the derivation of wave equations in physics
  • Learn how to calculate phase constants in wave equations
  • Explore the relationship between frequency, wavelength, and wave speed
  • Investigate the equations for transverse velocity of waves
USEFUL FOR

Students and professionals in physics, particularly those focusing on wave mechanics, as well as educators teaching concepts related to transverse waves and their properties.

puhdanks
Messages
10
Reaction score
0
Write the equation of a transverse wave that has a frequency of 75.0 hz, wavelength of .190m,an initial height of .7m and initial transverse velocity of +350m/s traveling in the negative direction.Also sketch at t=0




y(x,t)=Asin(kx+/-ωt+φ)

K=33.06
ω=472.4rad/s
φ=
A=
x=
y=
that's all i remember how to find

y(x,t)=Asin(33.06x+472.4t+φ)
 
Physics news on Phys.org
What parameter in the equation refers to the Amplitude of the wave?
 
A is the amplitude
x is the space coordinate
t is the time coordinate
k is the wavenumber
ω is the angular frequency
φ is the phase constant.
 
Any one?
 
You will also need the equation for the transverse velocity of the wave as function of t and x. Set t=0 and plug the initial height and transverse velocity given in the problem.
 

Similar threads

Standing wave transverse motion and amplitude
  • · Replies 5 ·
Replies
5
Views
2K
Wave function - displacement - transverse wave
  • · Replies 3 ·
Replies
3
Views
2K
Transverse Wave Velocity/Acceleration
  • · Replies 10 ·
Replies
10
Views
5K
Wave equation, wavelenght not given
  • · Replies 6 ·
Replies
6
Views
2K
Determining Parameters of a Transverse Harmonic Wave
  • · Replies 3 ·
Replies
3
Views
2K
What units for the wave function of a string?
  • · Replies 1 ·
Replies
1
Views
1K
Find transverse velocity given an equation of displacement
  • · Replies 9 ·
Replies
9
Views
3K
How Do You Calculate the Propagation Speed of a Transverse Wave on a String?
  • · Replies 8 ·
Replies
8
Views
2K
Finding Tension in a Transverse Wave on a String
  • · Replies 1 ·
Replies
1
Views
2K
Transverse Velocity of Wave, given position & time
  • · Replies 4 ·
Replies
4
Views
7K