The equation y = 5Sin (3x -4t), where y is in millimetres, x is in metres and t is in seconds represents a wave motion. Determine the frequency of the wave
Solution
Compare to standard equation
y=Asin(kx−wt)y=A\sin(kx-wt)y=Asin(kx−wt)
So frequency
f=w2π=42×3.14=0.64Hzf=\frac{w}{2\pi}\\=\frac{4}{2\times3.14}\\=0.64Hzf=2πw=2×3.144=0.64Hz
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