Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Two views of a travelling wave disturbance are shown in the figures on the right

ID: 1384915 • Letter: T

Question

Two views of a travelling wave disturbance are shown in the figures on the right. Above is a snapshot taken at t = 0 s. The lower view tracks the displacement of the medium [from its equilibrium position] at the fixed point in space x0 as a function of time. The wave disturbance is measured in centimeters. (a) Determine the amplitude of the wave disturbance by inspecting the (i) upper and (ii) lower sketch. (b) Determine the (i) wavelength and (ii) wavenumber. (c) Determine the (i) period, (ii) frequency, and (iii) angular frequency. (d) Determine the speed of the wave.

Explanation / Answer

A.

A = 2

B.

wavelength = 6
wave number = 2 pi / wavelength = 1.047 m^-1

C.

Period: 1 s
f: 1 Hz
w: 6.283 rad/s

D.

v = wavelength / period = 6 cm/s