Calculating the Equation of a Transverse Wave

In summary, the equation for a transverse wave with a frequency of 75.0 Hz, wavelength of 0.190m, initial height of 0.7m, and initial transverse velocity of +350m/s traveling in the negative direction is y(x,t)=Asin(33.06x+472.4t+φ), where A is the amplitude, x and t are the space and time coordinates, k is the wavenumber, ω is the angular frequency, and φ is the phase constant. To find the transverse velocity as a function of t and x, set t=0 and plug in the given initial height and transverse velocity.
  • #1
puhdanks
10
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)
 
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  • #2
What parameter in the equation refers to the Amplitude of the wave?
 
  • #3
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.
 
  • #4
Any one?
 
  • #5
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.
 

What is the equation of a transverse wave?

The equation of a transverse wave is given by y = A sin(kx - wt), where y is the displacement of the wave, A is the amplitude, k is the wave number, x is the position of the wave, w is the angular frequency, and t is the time.

What does each variable in the equation of a transverse wave represent?

The variable y represents the displacement of the wave, or the distance between the equilibrium position and the crest or trough of the wave. A represents the amplitude, which is the maximum displacement of the wave. k is the wave number, which is inversely proportional to the wavelength of the wave. x represents the position of the wave, and w is the angular frequency, which is related to the period of the wave.

How is the equation of a transverse wave different from the equation of a longitudinal wave?

The equation of a transverse wave involves the sine function, while the equation of a longitudinal wave involves the cosine function. This is because transverse waves oscillate perpendicular to the direction of propagation, while longitudinal waves oscillate parallel to the direction of propagation.

Can the equation of a transverse wave be used to describe all types of waves?

No, the equation of a transverse wave is specifically for transverse waves. Other types of waves, such as longitudinal waves or surface waves, have different equations to describe them.

What is the significance of the equation of a transverse wave in physics?

The equation of a transverse wave is important for understanding and predicting the behavior of transverse waves, which are a fundamental concept in physics. It allows us to calculate important characteristics of waves, such as wavelength, frequency, and speed.

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