Possible Frequencies of Tuning Fork for Beat Frequency of 4.85 Hz

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SUMMARY

The discussion revolves around calculating the possible frequencies of a tuning fork that produces a beat frequency of 4.85 Hz when placed near a vibrating wire. The wire, with a mass of 0.0145 kg and a length of 2.18 m, is under a tension of 201 N. The correct formula for frequency is derived from the tension and mass per unit length, leading to calculated frequencies of approximately 130.93 Hz and 121.23 Hz. A critical correction was made regarding the mass value used in the calculations, emphasizing the importance of accurate data in physics problems.

PREREQUISITES
  • Understanding of wave mechanics and frequency calculations
  • Familiarity with the concepts of tension and mass per unit length
  • Knowledge of beat frequency and its mathematical representation
  • Proficiency in using the wave speed formula: f = v / 2L
NEXT STEPS
  • Review the principles of wave mechanics in physics
  • Study the effects of tension on the frequency of vibrating strings
  • Learn about beat frequencies and their applications in acoustics
  • Explore the derivation and application of the wave speed formula in different contexts
USEFUL FOR

Students studying physics, particularly those focusing on wave mechanics, acoustics, and frequency analysis. This discussion is beneficial for anyone looking to deepen their understanding of tuning forks and beat frequencies.

tomasblender
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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
 
Physics news on Phys.org
You entered the mass incorrectly -- 0.0145 kg, not 0.00145 kg.

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

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