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https://texercises.com/exercise/bat-hunting-an-insect/
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Exercise:
A flying bat locates a flying insect using ultrasound waves with a frequency fO. The bat flies at vBO behind an insect trying to escape at vIO. Calculate the frequency of the sound waves received by the bat after they have been reflected on the insect.

Solution:
The first frequency shift happens when the flying bat emits the sound waves moving sound source: f' ffracv_Sv_S-v_B When reflected on the insect the sound waves experience a second shift: f'' f'fracv_S-v_Iv_S+v_I ffracv_Sv_S-v_B fracv_S-v_Iv_S+v_I Finally the moving bat receives the reflected sound waves leading to another frequency shift: f''' f''fracv_S+v_Bv_S ffracv_Sv_S-v_B fracv_S-v_Iv_S+v_I fracv_S+v_Bv_S fRF ftimesfracvS+vBvS-vBtimesfracvS-vIvS+vI fR approx resultfRP
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Exercise:
A flying bat locates a flying insect using ultrasound waves with a frequency fO. The bat flies at vBO behind an insect trying to escape at vIO. Calculate the frequency of the sound waves received by the bat after they have been reflected on the insect.

Solution:
The first frequency shift happens when the flying bat emits the sound waves moving sound source: f' ffracv_Sv_S-v_B When reflected on the insect the sound waves experience a second shift: f'' f'fracv_S-v_Iv_S+v_I ffracv_Sv_S-v_B fracv_S-v_Iv_S+v_I Finally the moving bat receives the reflected sound waves leading to another frequency shift: f''' f''fracv_S+v_Bv_S ffracv_Sv_S-v_B fracv_S-v_Iv_S+v_I fracv_S+v_Bv_S fRF ftimesfracvS+vBvS-vBtimesfracvS-vIvS+vI fR approx resultfRP
Contained in these collections:
  1. 11 | 16
  2. 11 | 19

Attributes & Decorations
Branches
Doppler Effect
Tags
reflection
Content image
Difficulty
(2, default)
Points
0 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration
File
Link