Finding the Distance Fallen and Frequency Shift with Doppler's Effect

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In summary, the conversation discusses the use of the Doppler effect to determine the distance a tuning fork falls when given its initial frequency and acceleration. The formula for the frequency observed at a given distance is given, and using it, the value of 19.01 m/s is found for the tuning fork's speed. The next step is to use motion formulas to calculate the distance the tuning fork has fallen to reach that speed.
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blch0901
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Dopplers Effect, Please Help!

Homework Statement



A tuning fork vibrating at 514 Hz falls from rest and accelerates at 9.80 m/s2. How far below the point of release is the tuning fork when waves of frequency of 487 Hz reach the release point? (Take the speed of sound in air to be 343 m/s.)

Homework Equations





The Attempt at a Solution



fobs=[1/((1+u)/343)]*fsource

487=[1/((1+u)/343)]*514
u=19.01 m/s

That's as far as I got. I'm not sure what to do next or if I'm even on the right track. Any help would be appreciated. Thanks
 
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  • #2


The formula looks a little odd, but I think the 19 m/s is correct.
Next step is to use motion formulas to find out how far it has fallen to acquire that speed. You might want to find the fall time first.
 

FAQ: Finding the Distance Fallen and Frequency Shift with Doppler's Effect

What is the Doppler effect?

The Doppler effect is the change in frequency of a wave due to the relative motion between the source of the wave and the observer.

How does the Doppler effect apply to finding the distance fallen?

The Doppler effect can be used to calculate the distance fallen by an object by measuring the change in frequency of a sound wave produced by the object as it falls.

What is the relationship between frequency shift and distance fallen?

The frequency shift caused by the Doppler effect is directly proportional to the distance fallen. This means that the greater the distance fallen, the greater the frequency shift will be.

How is the Doppler effect used to measure the speed of falling objects?

The Doppler effect can be used to measure the speed of falling objects by calculating the change in frequency of the sound wave and using this information to determine the distance fallen. From the distance fallen, the speed of the object can be calculated using the formula speed = distance/time.

What are some real-world applications of using the Doppler effect to find the distance fallen?

The Doppler effect is used in various fields such as meteorology, where it is used to track the movement of weather patterns, and in seismology, where it is used to detect and measure earthquakes. It is also used in sports such as skiing and snowboarding to measure jump distance and in aviation to measure the speed and altitude of aircraft.

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