What is the frequency of unknown tuning fork

In summary, a tuning fork with a frequency of 256 Hz produced 30 beats in 10 seconds when sounded with an unknown frequency tuning fork. When one tine was covered in plasticine and sounded again with the unknown frequency tuning fork, 20 beats were produced in 10 seconds. Using the equation BF= #beats/total time=f1-f2, it can be determined that the unknown frequency is either 253 or 256 Hz. To find the exact frequency, an assumption must be made about which frequency is greater and then the change in beat frequency must be analyzed to confirm the assumption. In this case, the known frequency of 256 Hz decreases, so the unknown frequency is 256 Hz.
  • #1

Homework Statement


A tuning fork w/ frequency of 256 Hz sounded w/ another tuning fork w/ unknown frequency produces 30 beats in 10 seconds. Then, one tine is covered in plasticine and sounded again w/ the unknown frequency tuning fork and produces 20 beats in 10s. What is the frequency of unknown tuning fork.


Homework Equations



BF= #beats/total time=f1-f2
= 30/10
= 3 Hz
= 256+/-3 Hz
= 253 or 256 Hz

That's all I got to, I don't know how to use the info from second piece of information to find exact frequency?
 
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  • #2
You make an assumption that either the unknown or known frequency is greater (your discretion). Then you analyse whether in the beat freq. should increase or decrease if frequency of one the forks is altered. If it does then your assumption is correct otherwise you go for the other frequency you had in your answer. In this case the known freq. decreases.
 

1. What is the frequency of an unknown tuning fork?

The frequency of a tuning fork refers to the number of vibrations or oscillations it makes per second. The frequency of an unknown tuning fork can vary depending on its size, shape, and material. Generally, tuning forks used in scientific experiments have a frequency between 100 and 1000 Hz.

2. How can I determine the frequency of an unknown tuning fork?

To determine the frequency of an unknown tuning fork, you can use a frequency counter or an oscilloscope. Simply place the tuning fork near the device and it will measure the vibrations and display the frequency in Hertz (Hz).

3. Is the frequency of a tuning fork affected by temperature?

Yes, the frequency of a tuning fork can be affected by temperature. As the temperature increases, the material of the tuning fork expands, causing the frequency to decrease. Conversely, as the temperature decreases, the frequency increases. This is why it is important to calibrate tuning forks at the desired temperature before use.

4. Can the frequency of a tuning fork change over time?

The frequency of a tuning fork can change over time due to wear and tear. The vibrations can cause the material to become slightly deformed, resulting in a change in frequency. It is recommended to periodically calibrate tuning forks to ensure accurate results.

5. How is the frequency of a tuning fork related to its pitch?

The frequency of a tuning fork is directly related to its pitch. A higher frequency corresponds to a higher pitch, and a lower frequency corresponds to a lower pitch. This is why tuning forks are often used to tune musical instruments, as they produce a specific pitch that can be compared to the desired pitch of the instrument.

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