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The displacement of an elastic wave is g...

The displacement of an elastic wave is given by the function `y=3 sin omega t +4 cos omegat .`
where y is in cm and t is in second. Calculate the resultant amplitude.

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AI Generated Solution

To calculate the resultant amplitude of the elastic wave given by the function \( y = 3 \sin(\omega t) + 4 \cos(\omega t) \), we can follow these steps: ### Step 1: Identify the components The given wave can be split into two components: - \( y_1 = 3 \sin(\omega t) \) with amplitude \( a_1 = 3 \) - \( y_2 = 4 \cos(\omega t) \) with amplitude \( a_2 = 4 \) ### Step 2: Convert cosine to sine ...
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