A transverse harmonic wave travels on a rope according to the
following expression:
y(x, t) = A cos(kx − ωt − φ)
The mass density of the rope is μ = 0.113 kg/m. x and y are
measured in meters and t in seconds. Using the graphs at of y vs t
at x=0 and y vs x at t=0 shown below, answer the following
questions:
(a) What is the value for the wave number, k, for the expression y(x,t)?
(b) What is the value for the angular frequency, ω, for the expression y(x,t)?
(c) What is the value in units of radians for the phase shift, ϕ, for the expression y(x,t)?
(d) What is the speed of the wave?
(e) What is the tension in the rope?
(f) Which direction does it travel? (up, left, right, down)?
A transverse harmonic wave travels on a rope according to the following expression: y(x, t) =...
A transverse harmonic wave travels on a rope according to the following expression: y(x,t) = 0.14sin(2.3x + 17.8t) The mass density of the rope is μ = 0.107 kg/m. x and y are measured in meters and t in seconds. I'm missing 6, 7 and 8 1) What is the amplitude of the wave? 0.14m 2) What is the frequency of oscillation of the wave? 2.8334Hz 3) What is the wavelength of the wave? 2.73m 4) What is the speed of the wave? 7.74m/s...
A sinusoidal transverse wave of wavelength 19.0 cm travels along a string in the positive direction of an x axis. The displacement y of the string particle at x = 0 is given in the figure as a function of time t. The scale of the vertical axis is set by ys = 4 cm. The wave equation is to be in the form of y = ym sin(kx - ωt + φ). (a) At t = 0, is a...
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At time t = 0 and at position x = 0 m along a string, a traveling sinusoidal wave with an angular frequency of 450 rad/s has displacement y = +4.4 mm and transverse velocity u = -0.71m/s. If the wave has the general form y(x, t) = ym sin(kx - ωt + φ), what is phase constant φ?
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The equation of a transverse wave traveling along a string is y = (0.11 m)sin[(0.78 rad/m)x - (14 rad/s)t] (a) What is the displacement y at x = 2.6 m, t = 0.27 s? A second wave is to be added to the first wave to produce standing waves on the string. If the wave equation for the second wave is of the form y(x,t) = ymsin(kx + ωt), what are (b) ym, (c) k, and (d) ω (e) the...
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