A sinusoidal wave is traveling on a string with speed 40 cm/s. The displacement of the particles of the string at

A sinusoidal wave is traveling on a string with speed 40 cm/s. The displacement of the particles of the string at

x = 10 cm is found to vary with time according to the equation y = (5.0 cm) sin[1.0 (4.0 s-1)t]. The linear density of the string is 4.0 g/cm. What are?
(a) The frequency and
(b) The wavelength of the wave? If the wave equation is of the form y(x, t) = ym sin(kx + wt), what are
(c) ym,
(d) k,
(e) w, and
(f) The correct choice of sign in front of w?
(g) What is the tension in the string?

Solution

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