A source is emitting a sound of frequency f Hz (cycles per second). You begin at

Question

A source is emitting a sound of frequency f Hz (cycles per second). You begin at the location P in the picture and travel in a line as pictured to the left at v mph. Note the angle theta in the picture. The sound you will hear has perceived frequency F according to the formula: F = f / 1 + (v/761)cos(theta) In this formula, the number "761" is coming from the fact that the speed of sound in air is approximately 761 mph. Give exact answers to all parts below. Assume that d= 30 miles. We can view the perceived frequency F as a function of time t hours where the formula for F(t) = .F(0) = . lim t rightarrow infinity F(t) = . For the value of v = , the perceived sound has frequency f / 2 as t goes to infinity. (In practical terms, this means the perceived sound is an octave LOWER than the original sound for large t.)

Explanation / Answer

http://www.personal.psu.edu/mak411/213/Lectures/Lecture%203%20Sound%20Doppler.pdf

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