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Sound Waves- In class Qui 1. What is the frequency heard by a person driving at 15 ms toward a blowing factory whistle C the speed of sound is 340.6 m/s? (800. Hz) if 2. F rom the previous problem, what frequency would he hear after passing the factory if he continues at the same speed? 3. Determine the speed of a wave that is travelling with a frequency of 400Hz and has a wavelength of 45m. 4. A cop cars siren has a frequency of 700. Hz. If you are standing on the sidewalk as the cop car approaches you at a speed of 15.0 m/s, what frequency would you hear? The speed of sound is 343 m/s. 5. In the previous problem, what frequency would you hear if the cop were driving away from you at a of 25 m/s? speed Note: Use speed of sound-340m/s
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Answer #1

By using the formula,

fo = (v*fs)/(v - vp)

where, fo is observed frequency

v is speed of sound in air

fs is frequency of the source

vp is speed of the person moving towards the whistle.

Since the person is moving towards the whistle the velocities are subtracted.

The observed frequency is higher than the frequency of the whistle because the person is moving closer.

So the observed wavelength is smaller.

Wavelength is inversely proportional to frequency. So frequency should be higher.

fo = 800*340.6/( 340.6 - 15)

= 836.9 Hz

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