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Transmission of Wave

A string osci...

Question

A string oscillates according to the equation $y^{'} = (0.50 c m) sin [(\frac{π}{3} c m^{- 1}) x] cos [(40 π s^{- 1}) t]$ . What is the amplitude?

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Solution

Amplitude is the maximum displacement from the equilibrium position.

We know that the maximum value of $s i n$ and $c o s$ function is $1$ .

Hence, maximum value of $y^{'}$ is $0.50 c m$

Hence, amplitude $A = 0.50 c m$

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