Explain the relationship between a wave's speed and tension using the following equation: v = square root (T/u)
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Explain the relationship between a wave's speed and tension using the following equation: v = square root (T/u). T is the tension, u is the linear mass density, and v is the speed.
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- The function y(x, t) = A cos(kx - wt) describes a traveling wave on a taut string with the x-axis parallel to the string. If the wavelength of the wave λ = 0.61 m and w = 18.9π/s, what is the speed of the traveling wave? Express your answer in m/s, to at least one digit after the decimal point.Tension is maintained in a string as in the figure below. The observed wave speed is v = 258 m/s when the suspended mass is m = 3.0 kg. (a) What is the mass per unit length of the string? kg/m(b) What is the wave speed when the suspended mass is m = 1.64 kg?Two sinusoidal waves, which are identical except for a phase shift, travel along in the same direction. The wave equation of the resultant wave is yR (x, t) = 0.35 cm sin (6.28 m−1 x − 1.57 s−1 (t) + π/4). What are the period, wavelength, amplitude, and phase shift of the individual waves?
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