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Exercise:
A loudspeaker emits sound waves with a frequency fO. The observer hears the sound at fdO. abcliste abc How fast is the loudspeaker if the observer is at rest? abc How fast is the observer if the loudspeark is at rest? abc Calculate the velocity if the loudspeaker and the observer both move at the same speed. abcliste

Solution:
The received frequency is higher than the emitted frequency so the loudspeaker and/or the observer move towards each other. abcliste abc The frequency heard by the observer is f' ffracv_Sv_S-v_E Solving for the velocity v_E of the loudspeaker leads to v_E vaF vstimesfracfd-ffd va approx resultvaP abc The frequency heard by the observer is f' ffracv_S+v_Rv_S Solving for the velocity v_R of the observer leads to v_R vbF vstimesfracfd-ff vb approx resultvbP abc The frequency heard by the observer is f' ffracv_S+vv_S-v Solving for the velocity v of both the loudspeaker and the observer leads to v vcF vstimesfracfd-ffd+f vc approx resultvcP abcliste
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\(\LaTeX\)-Code
Exercise:
A loudspeaker emits sound waves with a frequency fO. The observer hears the sound at fdO. abcliste abc How fast is the loudspeaker if the observer is at rest? abc How fast is the observer if the loudspeark is at rest? abc Calculate the velocity if the loudspeaker and the observer both move at the same speed. abcliste

Solution:
The received frequency is higher than the emitted frequency so the loudspeaker and/or the observer move towards each other. abcliste abc The frequency heard by the observer is f' ffracv_Sv_S-v_E Solving for the velocity v_E of the loudspeaker leads to v_E vaF vstimesfracfd-ffd va approx resultvaP abc The frequency heard by the observer is f' ffracv_S+v_Rv_S Solving for the velocity v_R of the observer leads to v_R vbF vstimesfracfd-ff vb approx resultvbP abc The frequency heard by the observer is f' ffracv_S+vv_S-v Solving for the velocity v of both the loudspeaker and the observer leads to v vcF vstimesfracfd-ffd+f vc approx resultvcP abcliste
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Attributes & Decorations
Branches
Acoustics, Doppler Effect
Tags
moving emitter, moving observer, sound wave
Content image
Difficulty
(2, default)
Points
6 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator by
Decoration
File
Link