Solving the Doppler Effect for Ambulance Moving in Expressway

Join the discussion
Ask a follow-up here, or get your own question answered by working scientists, mathematicians and engineers — people, not an autocomplete.
Real named experts · corrections over time · the nuance an AI answer skips
1 reply · 2K views
Asla
Messages
35
Reaction score
0

Homework Statement


An ambulance is moving in an expressway at a speed of 60km/hr from East to West(from A to B) as shown in the figure with a siren of 880Hz. Let the frequecies of the siren sound detected by an observer located at point O be Va and Vb as the ambulance just passes point A and B respectively.Point C is just to the North of O and OC=AC=BC=100m. Here the sound velocity in calm air is 340m/s.
i)Incase there is an east wind of 5m/s(18km/hr), what is the approximate value of (va/vb)-1
i)Incase there is a North wind of 5m/s(18km/hr),what is the approxiamate value of (va/vb)-1
attachment.php?attachmentid=59776&d=1371910117.png

Homework Equations


doppler effect
f'=(v+vs)/(v°-v)f

The Attempt at a Solution


I ignored the frequency values and concentrated on the ratios of change of frequency but I cannot comprehend how the frequency will change in the vb case.As for Va the wind will definitely reduce the frequency so that the ratio will be
(340+50/3+5)/340.
could someone help me on how the frequency for vb will change?
Do the distances given have any effect on the question?
 

Attachments

  • snapshot7.png
    snapshot7.png
    1.4 KB · Views: 591
Physics news on Phys.org