How Far Does a Motorcycle Travel When Hearing a Siren at 90% Frequency?

AI Thread Summary
The discussion revolves around calculating the distance a motorcycle travels when the rider hears a siren's frequency at 90% of its stationary value. The motorcycle accelerates from rest at 2.81 m/s², while the speed of sound is 343 m/s. Participants highlight the importance of understanding the Doppler effect, specifically the formulas for apparent frequency based on the motion of the observer and the source. The conversation emphasizes the need to reference the correct formula for apparent frequency to solve the problem effectively. Overall, the thread seeks clarity on applying these concepts to determine the motorcycle's travel distance when the frequency is perceived at the specified percentage.
neoking77
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a motorcycle starts from rest and accelerates along a straight line at 2.81m/s^2. the speed of sound is 343 m/s. a siren at the starting point remains stationary. how far has the motorcycle gone when the drive hears the frequency of the siren at 90.0% of the value it has when the motorcycle is stationry?

sorry...i really do not understand this chapter and have no clue how to solve it, and i don't know where to begin..any help/clues would be appreciated. thanks
 
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A useful relationship is:
speed of sound = wavelenth*frequency.
If your moving away from the source, the frequcy will go down (the time between peaks goes up). So if your moving away and take a look at the soundwave comin' at you it seems slower.
 
neoking77 said:
a motorcycle starts from rest and accelerates along a straight line at 2.81m/s^2. the speed of sound is 343 m/s. a siren at the starting point remains stationary. how far has the motorcycle gone when the drive hears the frequency of the siren at 90.0% of the value it has when the motorcycle is stationry?

sorry...i really do not understand this chapter and have no clue how to solve it, and i don't know where to begin..any help/clues would be appreciated. thanks

The classical Doppler effect (that's all you have to worry about at this stage) has got two formulations, one for a moving observer and another for a moving source. First you have to decide which this is.

Then quote the formula for the apparent frequency in terms of the real frequency, and we'll go from there. All this should be in your textbook, if not, here's a reference : http://www.sasked.gov.sk.ca/docs/physics/u5c32phy.html
 
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