From the equation = 𝐴 sin 2𝜋𝜆 (𝑣𝑡 − 𝑥) , establish the relation between particlevelocity and wave velocity.
Question
From the equation = 𝐴 sin 2𝜋𝜆 (𝑣𝑡 − 𝑥) , establish the relation between particlevelocity and wave velocity.
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Solution 1
The given equation represents a sinusoidal wave propagating in the positive x-direction. The equation can be written as:
y = A sin 2πλ (vt - x)
where:
- y is the displacement of the particle
- A is the amplitude of the wave
- λ is the wavelength
- v is the wave velocity
- t is the time
- x is the Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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