Possible Frequencies of Tuning Fork for Beat Frequency of 4.85 Hz

In summary, given a 0.0145 kg, 2.18 m long wire fixed at both ends and vibrating in its simplest mode under a tension of 201 N, a beat frequency of 4.85 Hz is produced when a tuning fork is placed nearby. The possible frequencies of the tuning fork are 130.93 Hz and 121.23 Hz, with the former being the smaller frequency. The incorrect value for the mass was corrected in the solution attempt.
  • #1
tomasblender
3
0

Homework Statement



A 0.0145 kg, 2.18 m long wire is fixed at both ends and vibrates in its simplest mode under a tension of 201 N. When a tuning fork is placed near the wire, a beat frequency of 4.85 Hz is heard. What are the possible frequencies of the tuning fork? (enter the smaller frequency first)


Homework Equations



f = v / 2L = (Ts / u )^0.5 / 2L = (Ts*L/m)/2L
f(beat) = |f1-f2|

The Attempt at a Solution



(201N * 2.18m /0.00145kg )^.5 / (2 * 2.18 m ) + 4.85 Hz = 130.93 Hz
(201N * 2.18m /0.00145kg )^.5 / (2 * 2.18 m ) - 4.85 Hz = 121.23 Hz

This is incorrect and i cannot think of what else to do / try
Thanks :D
 
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  • #2
You entered the mass incorrectly -- 0.0145 kg, not 0.00145 kg.

p.s. Welcome to Physics Forums :smile:
 
  • #3
Thanks! >.< Got it!
 

FAQ: Possible Frequencies of Tuning Fork for Beat Frequency of 4.85 Hz

1. What is a beat frequency problem?

A beat frequency problem is a physics problem that involves two different sound waves with slightly different frequencies overlapping and creating a "beat" or fluctuation in the resulting sound. This phenomenon is also known as a beat pattern.

2. How do you calculate the beat frequency?

The beat frequency is calculated by subtracting the lower frequency from the higher frequency. For example, if one wave has a frequency of 100 Hz and the other has a frequency of 105 Hz, the beat frequency would be 5 Hz.

3. What is the significance of beat frequency problems?

Beat frequency problems can be used to analyze and study the properties of sound waves, such as frequency, amplitude, and wavelength. They also have practical applications in fields such as music, acoustics, and telecommunications.

4. What factors affect beat frequency?

The beat frequency is affected by the difference in frequency between the two sound waves, as well as the amplitude and phase of each wave. It can also be influenced by the medium through which the waves travel.

5. How can beat frequency problems be solved?

To solve a beat frequency problem, you can use the formula Δf = |f1 - f2|, where Δf is the beat frequency and f1 and f2 are the frequencies of the two waves. You can also use graphical methods, such as plotting the waves on a graph and finding the points of intersection. Additionally, some beat frequency problems can be solved using trigonometric functions.

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