Efficiency of Pendulum: Factors Affecting Amplitude

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SUMMARY

The efficiency of a pendulum's amplitude retention is significantly influenced by factors such as the density of the pendulum bob, string length, and design shape. A high-density bob minimizes air drag damping per unit mass, while a longer string reduces the pendulum frequency, thereby decreasing damping effects. The design of pendula in clocks, particularly their pancake shape, is intentional to further reduce air drag. Experiments with coupled oscillators demonstrate energy transfer between pendula, highlighting the importance of setup in amplitude efficiency.

PREREQUISITES
  • Understanding of pendulum mechanics
  • Knowledge of air drag and its effects on motion
  • Familiarity with coupled oscillators
  • Basic principles of harmonic motion
NEXT STEPS
  • Research the impact of pendulum bob density on amplitude retention
  • Explore the relationship between string length and pendulum frequency
  • Investigate design variations of pendula to minimize air drag
  • Conduct experiments with coupled oscillators to observe energy transfer
USEFUL FOR

Physics students, mechanical engineers, hobbyists building pendulum clocks, and anyone interested in optimizing pendulum efficiency.

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My project is to build an efficient pendulum that hold 75% of its amplitudeafter 1 minute. What are some things that affects how efficient its amplitude?
 
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anyone help?
 
I think a high density pendulum bob is important, because it will reduce the air drag damping per unit mass. Note that the mass scales as the 3/2 power of the cross sectional (drag) area, so high mass also helps. A long string will reduce the pendulum frequency, which will also reduce the damping. Note that pendula in clocks are pancake-shaped for a reason (to reduce air drag). An interesting experiment is to have two nearly identical pendula mounted on the same frame. If only one is initially swinging, eventually most of the energy will transfer to the second one (coupled oscillator).
A friend of mine built a grandfather clock, and when it was assembled, started it up in his living room, on a soft hi-pile rug. He was puzzled when the winding weight chain started swinging in unison (or in phase quadrature) with the pendulum.
Bob S
 

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