The equation of a simple harmonic progressive wave travelling on a string is y = 8 sin (0.02x - 4t) cm. The speed of the wave is ______.

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The equation of a simple harmonic progressive wave travelling on a string is y = 8 sin (0.02x - 4t) cm. The speed of the wave is 200 cm/s. Explanation: y = 8 sin (0.02x - 4t) y = A sin ((2pix)/lambda - 2pi"nt") We know that, `therefore (2pi)/lambda = 0.02 therefore lambda = (2pi)/0.02 = 100 $\pi$ And 2$\pi$n = 4 therefore "n" = 2/pi $\therefore$ v = nλ = 2/pi xx 100 pi` = 200 cm/s.

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