How Far Does a Tuning Fork Travel While Emitting Sound Waves?

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Homework Statement

A tuning fork vibrating at 512 hertz falls from rest and accelerates at 9.81 m/s^2. How far below the point of release is the tuning fork when waves of frequency 485 Hz reach the release point? take the speed of sound in air to be 340 m/s. (don't forget it takes the sound extra time to reach the release point)

Homework Equations

v = f x wavelength
v = d/t

The Attempt at a Solution

i don't know how to approach this problem, i was thinking of using kinematics but i don't know what v2 is and i wouldn't using the frequencies given

 

[Vuldoraq]

Hey,

I think you need to use the equation for the Doppler effect on moving sources to find $$V_{2}$$ then apply the kinematic equations for uniform acceleration. Have you come across the Doppler effect before?

Vuldoraq

 

[Moetasim]

I would approach this problem by first understanding the relationship between vibrations, sound waves, and frequency. A tuning fork produces vibrations at a specific frequency, which corresponds to the number of cycles per second. When these vibrations travel through a medium, such as air, they create sound waves. The frequency of the sound wave is the same as the frequency of the tuning fork. Therefore, the given frequencies of 512 Hz and 485 Hz are important in understanding the problem.

Next, I would use the equation v = f x wavelength to find the speed of the sound waves. Since the speed of sound in air is given to be 340 m/s, I can rearrange the equation to solve for wavelength. This will be important in finding the distance traveled by the sound waves.

Then, I would use the equation v = d/t to find the time it takes for the sound waves of frequency 485 Hz to reach the release point. This equation relates the speed of an object (in this case, the sound waves) to the distance traveled and the time it takes to travel that distance.

Once I have the time, I can use kinematics equations to find the distance traveled by the tuning fork. Since the tuning fork starts from rest and accelerates at a constant rate, I can use the equation d = 1/2at^2 to find the distance traveled by the tuning fork in the same amount of time it takes for the sound waves to reach the release point.

Finally, I would subtract the distance traveled by the tuning fork from the distance traveled by the sound waves to find the distance between the release point and the tuning fork.

In summary, I would approach this problem by understanding the relationship between vibrations, sound waves, and frequency, and then using equations to find the distance between the tuning fork and the release point.