A sinusoidal wave moving along a string is shown twice below, ascrest A travels

Question

A sinusoidal wave moving along a string is shown twice below, ascrest A travels in the positive direction of an x axis bydistance d = 1.5 cm in 42.0 ms. The tick marks along the axis areseparated by 3.0 cm.

The wave equation is of the form below.

A sinusoidal wave moving along a string is shown twice below, ascrest A travels in the positive direction of an x axis by distance d = 1.5 cm in 42.0 ms. The tick marks along the axis are separated by 3.0 cm. y(x, t) = ym sin ( kx plusminus wt) The wave equation is of the form below. What is ym? mm What is k? rad/m What is ?? rad/s What is the correct choice of sign in front of ??

Explanation / Answer

a) Ym = 3 mm
b) wavelength = 12 cm
k = 2pi / wavelength = 2 xpi / 0.12 =52.36

c) k =w/v
v = 1.5 x 10-2 / 42 x 10-3 = 0.357 m/s
w = 52.36 x 0.357 = 18.7

d) plus

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