A sound wave of frequency 245 Hz travels with the speed of 300 ms$-$1 along the positive x-axis. Each point of the wave moves to and from through a total distance of 6 cm. What will be the mathematical expression of this travelling wave?
Solution
$Y = A\sin (kx - \omega t)$<br><br>$A = {6 \over 2}$ = 3cm = 0.03 m<br><br>$\omega = 2\pi f = 2\pi \times 245$<br><br>$\omega = 1.5 \times {10^3}$<br><br>$k = {\omega \over v} = {{1.5 \times {{10}^3}} \over {300}}$<br><br>$k = 5.1$<br><br>$y = 0.03\sin (5.1x - (1.5 \times {10^3})t)$
About this question
Subject: Physics · Chapter: Waves · Topic: Wave Motion and Types
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