In terms of wave interference. y'(x, t) = [2Acos1/2theta] * sin(kx-wt+1/2theta). I get that two sinusoidal waves have the same amplitude and wavelength travel in the same direction along a stretched string to produce a resultant wave. I know that the 2Acos section is the magnitude of amplitude and the sin term is the oscilating term. But I'm having trouble conceptually explaining the equation. Can you help give me a better understanding? Thank you.
In terms of wave interference.
y'(x, t) = [2Acos1/2theta] * sin(kx-wt+1/2theta).
I get that two sinusoidal waves have the same amplitude and wavelength travel in the same direction along a stretched string to produce a resultant wave. I know that the 2Acos section is the magnitude of amplitude and the sin term is the oscilating term.
But I'm having trouble conceptually explaining the equation.
Can you help give me a better understanding? Thank you.
The equation provided above represents a wave in terms of wave interference
Lets break down the component of the equation
y'(x, t) represents the displacement of the wave interference in terms of position and time
x = displacement
t = time
and theta
(
) represents the aditional phase shift
A is the amplitude
K is the wave number
is the angular frequency of the wave in rad/sec
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