Natural frequency calculated theorectically and experimentally

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SUMMARY

The discussion centers on calculating the natural frequency of a spring-mass system through theoretical analysis and experimental data. The participant noted discrepancies between the theoretical and experimental results, attributing potential causes to factors such as damping and measurement accuracy of the spring constant and mass. It was concluded that while damping affects amplitude, it does not influence the natural frequency directly; however, the damped frequency may vary. Key considerations include ensuring accurate measurements of the spring constant and the spring's relaxed length.

PREREQUISITES
  • Understanding of spring-mass systems and natural frequency calculations
  • Knowledge of damping effects in oscillatory motion
  • Familiarity with experimental methods for measuring oscillation periods
  • Ability to calculate spring constants from measurements
NEXT STEPS
  • Research the impact of damping on oscillatory systems and its distinction from natural frequency
  • Learn about precise measurement techniques for spring constants and mass in experimental setups
  • Explore the differences between natural frequency and damped frequency in detail
  • Investigate methods for verifying the accuracy of experimental data in physics
USEFUL FOR

Physics students, mechanical engineers, and researchers involved in experimental mechanics or oscillatory systems will benefit from this discussion.

balogun
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Homework Statement



I was given a spring mass system and asked to calculate the natural frequency by theorectical analysis and by using experimental data.

There was a difference between the natural frequency calculated theorectically and experimentally.

I was asked to discuss the difference in results and I wanted to know if damping is the cause for the difference in results .
 
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What was the difference between theoretical and experimental results for natural frequency. Certainly damping would have an effect.

Are the spring constant and mass accurately measured?
 
for the theorectical analysis I was given the length of spring, the mass attached and the length of stretched spring.I used that to calculate spring constant and then calculate frequency.

for the experimental I was given the time for 20 oscllations for five different readings.

Found average time ,diivided by 20 to find period and found inverse of period to find frequency.

I think damping has an effecy but I have read online that damping only affects amplitude of oscillation not the period.
 
The natural frequency is not affected by damping, but the damped frequency can be different. However, the different may not be too different.

http://hypertextbook.com/chaos/41.shtml
http://en.wikipedia.org/wiki/Damping
http://hyperphysics.phy-astr.gsu.edu/hbase/oscda2.html#c2

Is the spring constant actually constant over the range of deflection?

Did one measure the relaxed length (unloaded) of the spring before and after the experiment?

Did one use the spring constant determined from the experiment in the theoretical calculations?
 
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