A wave is described by y = 0.020 6 sin(kx - t), where k = 2.08 rad/m, = 3.68 rad
ID: 1790027 • Letter: A
Question
A wave is described by y = 0.020 6 sin(kx - t), where k = 2.08 rad/m, = 3.68 rad/s, x and y are in meters, and t is in seconds.
A wave is described by y = 0.020 6 sin(kx-ot), where k = 2.08 rad/m, = 3.68 rad/s, x and y are in meters, and t is in seconds. (a) Determine the amplitude of the wave. (b) Determine the wavelength of the wave. (c) Determine the frequency of the wave. Hz (d) Determine the speed of the wave. m/s Need HelpMaster It -15 points SerPSE9 16.P.009.MI. The wave function for a traveling wave on a taut string is (in SI units) 5) y(x,t) = 0.380 sin (12t-47 (a) What are the speed and direction of travel of the wave? speed direction Select x + m/s So (b) what is the vertical position of an element of the string at t 0, x = 0.130 m? (c) What is the wavelength of the wave? (d) What is the frequency of the wave? Hz (e) What is the maximum transverse speed of an element of the string? m/sExplanation / Answer
y = A sin( k x - w t)
a) amplitude A = 0.0206 m
b) k = 2 pi / lambda
wavelength lambda = 2 pi / k = 2 pi / 2.08
wavelength = 3.02 m
c) f = w / 2 pi = 3.68 / 2 pi
Frequency = 0.586 Hz
d) speed = w / k = 3.68 / 2.08
speed v = 1.77 m/s