A whale emits of sound of 50Hz to tell a wayward calf to catch up to the pod. Th

Question

A whale emits of sound of 50Hz to tell a wayward calf to catch up to the pod. The whale is moving due East at 5 m/s while the calf (1.2 Km away) is moving due West at 4 m/s. The speed of sound in water is 1500 m/s and the speed of sound in air is 340 m/s a) How long does it take the sound to reach the calf? What is the 1. frequency of the sound received by the calf? b) The whale now waits near the surface of the water for the calf. The whale continues to emit the 50 Hz sound, and some of the sound is transmitted into the air. What is the frequency and the wavelength of the sound in the air? For full credit, include all of the following. No work, no credit! 1) Briefly state the problem (Given:) 2) Briefly state the question (Find:) 3) Draw a picture of the situation with information shown.; specify the meaning of variables (example: "x is the distance from the top surface of the liquid to the bottom of the window" or "P1 is the pressure at point (1) in my diagram") 4) In your mind estimate the answer you're looking for and think about units. 5) Select a relationship (general principle and equation) between the known quantities and the unknown. 6) Solve for the unknown variable, showing all the intermediate algebraic steps 7) Plug in numbers and units and come up with the answer. Box or double underline the answer to highlight it. It should include appropriate units and significant figures

Explanation / Answer

1.

A.

The time the sound waves take to reach the calf over the distance from the whale to the calf is

del (t)=d/v

del (t)=(1.2x10^3)/1500

=0.8s

B.

wavelength=v_water/f=(1500/50=30m/s

The frequency does not change from one medium water to another and the sound velocity in air is

wavelength_air=v_air/f=(340/50)

=6.8m

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