# Question: A water wave traveling in a straight line on a

A water wave traveling in a straight line on a lake is described by the equation

Where y is the displacement perpendicular to the undisturbed surface of the lake?

(a) How much time does it take for one complete wave pattern to go past a fisherman in a boat at anchor, and what horizontal distance does the wave crest travel in that time?

(b) What are the wave number and the number of waves per second that pass the fisherman?

(c) How fast does a wave crest travel past the fisherman, and what is the maximum speed of his cork floater as the wave causes it to bob up and down?

Where y is the displacement perpendicular to the undisturbed surface of the lake?

(a) How much time does it take for one complete wave pattern to go past a fisherman in a boat at anchor, and what horizontal distance does the wave crest travel in that time?

(b) What are the wave number and the number of waves per second that pass the fisherman?

(c) How fast does a wave crest travel past the fisherman, and what is the maximum speed of his cork floater as the wave causes it to bob up and down?

## Relevant Questions

Which of the following wave functions satisfies the wave equation,Eq.(l5.12)?(a)y(x, I) = A cos (kx + wt); (b)y(x, I) =A sin (kx + w,); (c) y (x, t) = A(cos kx + cos wt).(d) For the wave of pan (b), write the equations for ...With what tension must a rope with length 2.50 m and mass 0.120 kg be stretched for transverse waves of frequency 40.0 Hz to have a wavelength of 0.750 m?A jet plane at take-off can produce sound of intensity 10.0 W 1m2 at 30.0 m away. But you prefer the tranquil sound of normal conversation, which is 1.0µW/m2. Assume that the plane behaves like a point source of sound. (a) ...Suppose that the left-traveling pulse in Exercise I5.28 is below the level of the unstretched string instead of above it. Make the same sketches that you did in that exercise. 15.30. Two pulses are moving in opposite ...A 1.50-rn-long rope is stretched between two supports with a tension that makes the speed of transverse waves 48.0 m/s. What are the wavelength and frequency of? (a) The fundamental; (b) The second overtone; (c) The fourth ...Post your question