The figure shows the transverse velocity u versus time t of the point on a string at x = 0, as a wave passes through it. The scale on the vertical axis is set by us = 4 m/s. The wave has form y(x, t) = ymsin(kx - ωt + φ). What is φ , in the range from - π to +π ? (Caution: A calculator does not always give the proper inverse trig function, so check your answer by substituting it and an assumed value of φ into y(x, t) and then plotting the function.)
The figure shows the transverse velocity u versus time t of the point on a string...
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?
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...
The equation of a transverse wave traveling along a string is y = (0.21 m)sin[(0.71 rad/m)x - (13 rad/s)t] (a) What is the displacement y at x = 3.5 m, t = 0.14 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...
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...
The equation of a transverse wave traveling along a string is y (0.24 m)sin[(0.87 rad/m)x (14 rad/s)t] (a) what is the displacement y at x ? 3.5 m, t 0.17 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 + at), what are (b) ym, (c) k, and (d) ? (e) the correct choice of sign in...
A transverse sinusoidal wave on a string has a period T-17.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, a particle on the string at x = 0 has a transverse position of 2.00 cm and is traveling downward with a speed of 3.50 m/s. (a) What is the amplitude of the wave? 2.9 Your response differs significantly from the correct answer. Rework your solution from the beginning and check...
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)?...
Parts E-H please
A sinusoidal transverse wave is traveling along a string in the negative direction of an x axis. The figure shows a plot of the displacement as a function of position at time t 0; the y intercept is 4.0 cm. The string tension is 2.1 N, and its linear density is 21 g/m. Find the (a) amplitude, (b) wavelength, (c) wave speed, and (d) period of the wave. (e) Find the maximum transverse speed of a particle...
A transverse wave with an amplitude of 6 m, a frequency f=6.7 Hz , and a wavelength λ=6 m is traveling down a taut string. If the wave equation describing the displacement of the string at position x and time t is given by y(x,t)=Asin(kx−ωt) a.) what are the parameters A, k, and ω? b.) What is the speed of the wave traveling down the wire? m/s c.) If the tension in the wire is measured to be 6 N,...
A transverse wave on a string is described by the following wave function. Y = 0.095 sin (1x + 5nt) where x and y are in meters and t is in seconds. (a) Determine the transverse speed at t = 0.300 s for an element of the string located at x = 1.30 m m/s (b) Determine the transverse acceleration at t = 0.300 s for an element of the string located at x + 1.30 m. m/s2 (c) What...