Physics

Physics

Problem

A sinusoidal wave of amplitude 0.050 m0.050\,\text{m} travels along a stretched string in the +x+x-direction with a speed of 12 m s−112\,\text{m\,s}^{-1} and a frequency of 6.0 Hz6.0\,\text{Hz}. At t=0t=0, the point at x=0x=0 is at its maximum positive displacement (a crest). Which equation gives the displacement y(x,t)y(x,t) in meters? a) y=0.050cos⁡(πx+12πt)y=0.050\cos(\pi x+12\pi t) b) y=0.050cos⁡(2πx−12πt)y=0.050\cos(2\pi x-12\pi t) c) y=0.050cos⁡(πx−12πt)y=0.050\cos(\pi x-12\pi t) d) y=0.050sin⁡(πx−12πt)y=0.050\sin(\pi x-12\pi t)

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