Q9. What is the expression for wave speed in the given equation: y = Asin(kx-wt + π)?
Question
Q9. What is the expression for wave speed in the given equation: y = Asin(kx-wt + π)?
Solution
The wave speed (v) in a wave equation can be found using the relationship between wave speed, wavelength (λ), and frequency (f). This relationship is given by the equation v = fλ.
In the given wave equation y = Asin(kx-wt + π), the wave number k and angular frequency w are related to the wavelength and frequency of the wave respectively.
The wave number k is equal to 2π/λ and the angular frequency w is equal to 2πf.
Therefore, we can express the wave speed v in terms of k and w as follows:
v = w/k
This is the expression for wave speed in the given wave equation.
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