How can I explain how air resistance damps a pendulum's motion

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SUMMARY

This discussion focuses on the explanation of how air resistance dampens the motion of a pendulum. The primary mechanism involves the bombardment of gas particles on the pendulum's circular discs, resulting in a force that opposes the motion. This interaction leads to a decrease in the pendulum's velocity and energy, causing the amplitude to diminish over time. The conversation also touches on the conservation of momentum and suggests that discussing energy loss may provide a clearer understanding of the damping effect.

PREREQUISITES
  • Understanding of basic physics concepts such as oscillation and damping
  • Familiarity with the principles of air resistance and drag forces
  • Knowledge of momentum conservation in physics
  • Basic grasp of entropy and its implications in physical systems
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  • Research the mathematical modeling of damped harmonic motion
  • Explore the effects of varying radius on pendulum motion and air resistance
  • Study the relationship between energy loss and amplitude in oscillatory systems
  • Investigate the concept of entropy in relation to energy transfer and damping
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Students and educators in physics, particularly those studying mechanics and oscillatory motion, as well as anyone interested in understanding the effects of air resistance on pendulum dynamics.

JamieGreggary
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Basically I have an experiment which involves attaching circular discs of varying radius to a pendulum, monitoring how its amplitude varies with time.

In my write up I need to include an explanation of how air resistance causes a damped oscillation over time. So far I have written:

Air resistance works by the bombardment of gas particles on the circular disc. These collisions cause a change in the gas particles momentum, and hence a force exerted in the opposite direction to the motion of the circular disc. As a result of this, the velocity of the pendulum decreases and energy in the system is lost. This loss of energy means that the pendulum will have insufficient energy to reach the same amplitude as on its last peak, and as a result the amplitude diminishes over time.

I'm not too sure if this explanation is correct (see below of alternative idea). It is also incredibly brief, and am struggling to find inspiration on how else I could explain it/other ideas to include.

Due to the conservation of momentum, when the moving pendulum collides with the almost stationary particles, energy is transferred from the pendulum and onto the particle. This results in the loss of the pendulums momentum and velocity, and an increase in the particles momentum and velocity.

^ Then I'd add the last sentence of the first idea to this - but again, I'm not sure which of the explanations is correct (if any)

Thanks for any help guys!
 
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It makes more sense to me to deal in terms of energy rather than momentum here. Clearly both are true, but the question which could be asked is why the process only works in the one direction. If you want to cover that you'd need to go into a discussion of entropy.
 

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