5.A transverse periodic wave is represented by the equation y(x, t) = 2.50 cm cos(2,500 rad/st-15.0...
A transverse wave is given by the following equation: y (x,t) = (2.45 cm) cos [(0.420 rad/cm)x + (5.20 rad/s)t] a) What are the wave's amplitude, frequency, period, and wavelength? b) What is the direction of wave travel, and what is the speed? c) What is the displacement of a particle at x = 5.00 m, at t = 1.00 min? Hint: pay attention to units!
The function y(x, t) = (15.0 cm) cos(pi x ? 12 pi t), with x in meters and t in seconds, describes a wave on a taut string. What is the transverse speed for a point on the string at an instant when that point has the displacement y = 12.0 cm?
The equation that describes a transverse wave on a string is y = (0.0120 m)sin[(394 rad/s)t - (3.00 rad/m)x] where y is the displacement of a string particle and x is the position of the particle on the string. The wave is traveling in the +x direction. What is the speed v of the wave?
5. Assume the transverse displacement, y(x,t), of a wave can be represented by: y(x, t) = sin(x – ct) Construct a wave diagram similar to Figure 1.5 in the textbook by computing values for y(x,t) where t varies from 0 to 21 (in increments of 1/4) and x varies from 0 to 1 (in increments of 1/4). Assume c=1. Feel free to use Matlab or Excel to find the values for y(x,t). a) plot the wave diagram by hand or...
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...
The function y(x, t) = (18.0 cm) cos(TX-27mt), with x in meters and t in seconds, describes a wave on a taut string, what is the transverse speed for a point on the string at an instant when that point has the displacement y = +15.0 cm?
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...
The equation of a transverse wave traveling on a string is given by y = A sin(kx - ωt) . Data: A=11 mm, k=35 rad/m, ω= 500 rad/s. 1) What is the amplitude? 2) What is the frequency? 3) What is the wave velocity? 4) What is the wavelength? 5) For the same wave, find the maximum transverse speed of a particle in the string.
The equation of a transverse wave traveling in a string is given by y= 0.10m cos((0.79 m) x - (13 s) t - 0.89, in which x and y are expressed in meters and t in seconds. Find an equation for another wave which, when added to the first, will result in a standing wave being produced.