3. For the following situations, calculate the apparent frequency AND wavelength

Question

3. For the following situations, calculate the apparent frequency AND wavelength of the sound, based on the Doppler effect and the speed of sound in air of 343 m/s.

(A) Bart Simpson is standing on the side of a road (stationary) when an ambulance approaches him traveling at 24.6 m/s. The ambulance siren is sounding at 475 Hz. What frequency does Bart hear?

(B) Bart Simpson is screaming at a frequency of 225 Hz while running away from Homer Simpson who is streaking around Springfield. If Homer is running at 3.2 m/s away from Bart and Bart is running away from Homer at 5.8 m/s, what is the apparent frequency of Bart’s screaming, as heard by Homer?

(C) Lisa Simpson looks out the window and sees Bart and Homer and is horribly embarrassed. If nothing else changes from part C, what is the apparent frequency of Bart screaming as he runs away from Lisa’s location?

(D) Marge Simpson is calling Maggie to walk towards her. Maggie starts to toddle to her mother at 0.5 m/s. If Marge is calling to her at a frequency of 75 Hz, what will the apparent frequency that Maggie hears be?

Please show your work and how you got the answer! Thank you so much in advance! :)

Explanation / Answer

1) f' = f[v/v-vobs]
So, f' = 475[343/343-24.6]
So, f' = 511.699 Hz

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