EE Topic: Relation between Temperature and Natural Frequency of an obj

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SUMMARY

The discussion centers on the relationship between temperature and natural frequency of objects, particularly in the context of an IB EE topic. Key insights include the correlation between Young's Modulus and temperature, where Young's Modulus typically decreases as temperature increases. Additionally, the effects of temperature on musical instruments, such as string tension and sound frequency, are highlighted. Practical experimentation is encouraged, especially with stringed and wind instruments, to observe measurable effects of temperature changes.

PREREQUISITES
  • Understanding of Young's Modulus and its temperature dependence
  • Basic principles of natural frequency in mechanical systems
  • Knowledge of thermal expansion coefficients in materials
  • Familiarity with sound wave propagation in different media
NEXT STEPS
  • Research the effects of temperature on Young's Modulus for various materials
  • Conduct experiments on stringed instruments to measure frequency changes with temperature
  • Explore the relationship between temperature and sound speed in air
  • Investigate thermal expansion coefficients of different materials and their impact on natural frequency
USEFUL FOR

Students conducting research in physics, particularly those interested in the dynamics of materials and their properties under varying temperatures, as well as educators and hobbyists exploring the physics of musical instruments.

Said97
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Hi guys,

I am still new to this forum, so I hope I can learn many things from this forum :)

I am currently looking for my IB EE topic about the relation between temperature and natural frequency on an object.

I have been researching about this topic, however I don't find any specific formula nor theory relating temperature with the natural frequency of an object. The closest I got was the relation between stator natural frequency with the Young Modulus of the object. I have seen article that talk about the relation the Young Modulus and Temperature are related. What do you guys think about it? Will it work? or is there any theory that relates the temperature and natural frequency of an object?

Thank you so much.
 
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Said97 said:
The closest I got was the relation between stator natural frequency with the Young Modulus of the object. I have seen article that talk about the relation the Young Modulus and Temperature are related.

That's the reason. The relation between Young's Modulus and temperature depends on the material, but almost always, E decreases as T increases.

There are other effects as well. For example in a musical instrument like a guitar, if the thermal expansion coefficient of the strings is different from the expansion coefficient of the instrument itself, the tension in the strings will vary with temperature and change the vibration frequency.

The speed of sound in air varies with temperature, and that affects the vibration frequency of the air in pipes, etc.

You could probably do some experiments on stringed and wind instruments yourself. Temperature changes of a few degrees C will give a measurable effect. Experimenting on "solid objects" would be harder to do, because you would need higher temperatures (e.g. up to a few hundred degrees C) to get large differences.
 
AlephZero said:
You could probably do some experiments on stringed and wind instruments yourself. Temperature changes of a few degrees C will give a measurable effect. Experimenting on "solid objects" would be harder to do, because you would need higher temperatures (e.g. up to a few hundred degrees C) to get large differences.

What an awesome idea! It would make for a great science fair project.
 

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