The Nature of Natural Frequency

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SUMMARY

The natural frequency of an oscillator refers to the frequency at which it oscillates when undisturbed by external forces, specifically under ideal conditions without damping. This frequency is associated with an ideal oscillator that experiences only a restoring force. In real-world applications, all oscillators experience damping, which alters their oscillation frequency from the ideal case. Therefore, the term "natural frequency" typically denotes the ideal frequency, not the frequency of a real oscillator affected by damping.

PREREQUISITES
  • Understanding of oscillatory motion and restoring forces
  • Familiarity with the concept of damping in physical systems
  • Knowledge of boundary conditions in physics
  • Basic principles of harmonic motion
NEXT STEPS
  • Research the effects of damping on oscillatory systems
  • Study the mathematical modeling of natural frequency in ideal versus real oscillators
  • Explore boundary conditions and their significance in oscillatory motion
  • Learn about different types of oscillators and their characteristics
USEFUL FOR

Physics students, engineers, and anyone interested in understanding the principles of oscillatory motion and the distinction between ideal and real oscillators.

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I've been told that the natural frequency of an oscillator is the frequency an oscillator will oscillate at when left to itself. Is this referring to the frequency of an ideal oscillator subject to ONLY a restoring force. Because all REAL oscillators are subject to damping and, when left to themselves, will oscillate at a frequency different than the ideal case. Even if the difference is small for many cases, it is still different. So is the "natural frequency" the frequency a REAL oscillator will oscillate at when left to itself or is it the frequency of the ideal oscillator with no damping? Please don't refer me to a Wikipedia page. Thank you
 
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cdot said:
I've been told that the natural frequency of an oscillator is the frequency an oscillator will oscillate at when left to itself. Is this referring to the frequency of an ideal oscillator subject to ONLY a restoring force. Because all REAL oscillators are subject to damping and, when left to themselves, will oscillate at a frequency different than the ideal case. Even if the difference is small for many cases, it is still different. So is the "natural frequency" the frequency a REAL oscillator will oscillate at when left to itself or is it the frequency of the ideal oscillator with no damping? Please don't refer me to a Wikipedia page. Thank you

When you are told that "... natural frequency of an oscillator is the frequency an oscillator will oscillate at when left to itself.. ", were you also told that this is the ideal condition in which damping and other factors are not being considered?

Everything here has a proper context. If not, then we do not know what the "boundary conditions" are to be able to answer such a thing.

Zz.
 

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