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A plane progressive wave is give by x=(4...

A plane progressive wave is give by `x=(40 cm) cos (50pit-0.02piy)` where y is in centimetres and t in seconds. What will be the particle velocity at `y=25 cm "in time" `t=1//200 s?

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To find the particle velocity at \( y = 25 \, \text{cm} \) and \( t = \frac{1}{200} \, \text{s} \) for the given wave equation \( x = (40 \, \text{cm}) \cos(50\pi t - 0.02\pi y) \), we can follow these steps: ### Step 1: Understand the wave equation The wave equation is given as: \[ x = 40 \cos(50\pi t - 0.02\pi y) \] Here, \( x \) represents the displacement of the wave, \( t \) is time, and \( y \) is the position along the wave. ...
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