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The equation of a simple harmonic progressive wave travelling on a string is \( y=8 \sin (0.02 x-4 t) cm \). The speed of the wave is |
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Answer» Given equation y(x, t) = 8 sin(0.02x - 4t) cm comparing this y(x, t) = A sin(kx - ωt + ϕ) equation. then A = 8, k = 0.02, ω = 4 \(\lambda=\frac{2\pi}k\) \(\lambda=\frac{2\pi\times100}2\) \(\lambda=100\pi\,cm\) f = \(\frac{\omega}{2\pi}\) f = \(\frac{4}{2\pi}\) f = \(\frac2{\pi}\) Hz speed of wave v = \(\lambda f\) = 100 π x \(\frac2{\pi}\) v = 200 cm/s |
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