1. An oceanic depth-sounding vessel surveys the ocean floor with ultrasonic sound that travels 1530 m/s in seawater. How deep is the water if the time delay of the echo from the ocean floor is 2 s?

Question

2. While sitting at the dock of the bay, Otis notices incoming waves with distance d between crests. The incoming crests lap against the pier pilings at a rate of one every 2 seconds.

a. Find the frequency of the waves.

b. Show that the speed of the waves is given by fd.

c. Suppose the distance d between wave crests is 1.8 m. Show that the speed of the waves is slightly less than 1.0 m/s.

Accepted Answer

1. The round trip is 2 s, meaning 1 s down and 1 s up. Then, [latex]d = vt = 1530 m/s imes 1 s = 1530 m[/latex].

(Radar works similarly, where microwaves rather than sound waves are transmitted.)

2. a. The frequency of the waves is given, one per 2 s, or f = 0.5 Hz.

b. [latex]v=f \lambda=f d[/latex].

c. v = fd = 0.5 Hz (1.8 m) = 0.9 m .

Question 12.PS.1: 1. An oceanic depth-sounding vessel surveys the ocean floor ...

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