A harmonic plane wave in a water pond is moving in a particular direction that we can call x-axis. The wave has an amplitude of 0.5 m and a wavelength of 0.25 m whereas its speed is 2 m/s. What is the angular frequency and angular wave number of this wave? How many waves fit in a length of 10 m. Suppose at t = 0 there is a full peak at x = 0. What is the height of water at x = 2 m and x = 2.1 m at this time? What is the height at these same points at t = 1 s?

The figure below represents the profile of a wave at three different times

For any vector quantity, be sure to always include the magnitude and direction ty

Chapter 17, Problem 020 The figure shows four isotropic point sources of sound that are uniformly spaced on an x axis. The sources emit sound at the same wavelength and same amplitude sm, and they emit in phase. A point P is shown on the x axis. Assume that as the sound waves travel to P, the decrease in their amplitude is negligible. What multiple of sm is the amplitude of the net wave at P if distance d in the figure is (a)1A, (b)2, and (c)4/? (a) Number (b) Number (c) Number Units Units Units S₁ Sa Sa + S₁