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A wave travelling in a string is y(x, t)...

A wave travelling in a string is y(x, t) = 0.4 sin (30x - 2t) where all numerical constants are in SI units. Calculate the displacement at a distance of 25 cm and t = 6s.

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To solve the problem, we need to calculate the displacement \( y \) of the wave at a distance of \( 25 \) cm and time \( t = 6 \) s using the wave equation given: \[ y(x, t) = 0.4 \sin(30x - 2t) \] ### Step 1: Convert the distance from centimeters to meters The distance given is \( 25 \) cm. We need to convert this to meters since all constants in the equation are in SI units. \[ ...
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