Why Does a Pendulum's Period Change with Angle?

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SUMMARY

The discussion focuses on the relationship between the angle of displacement and the period of a simple pendulum. The participants conducted an experiment varying the maximum angle (theta) from 5 degrees to 45 degrees while keeping the string length constant. They observed a slight increase in the period as the angle increased, which contradicts the theoretical formula T=2π √(L/g) that suggests the period should remain constant for small angles. The deviation observed at larger angles is attributed to factors such as air resistance, with an expected deviation of around 4% at 45 degrees compared to the small angle approximation.

PREREQUISITES
  • Understanding of simple harmonic motion
  • Familiarity with the formula T=2π √(L/g)
  • Basic knowledge of forces, including drag force and air resistance
  • Experience with experimental physics and data analysis
NEXT STEPS
  • Research the effects of air resistance on pendulum motion
  • Explore the concept of angular displacement in oscillatory systems
  • Learn about the limitations of the small angle approximation
  • Investigate methods to minimize experimental errors in pendulum experiments
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Students in introductory physics courses, educators teaching mechanics, and anyone interested in the dynamics of oscillatory motion and experimental physics.

starfish9000
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A very easy Pendulum.Give me advice!

Recently I and my teacher worked on this lab report to the simple pendulum and that we did an play around where we boosted the max theta about the increments of 5 diplomas, while keeping how big the sting exactly the same. We started following a 5 degrees and frequented 45 degrees. In some manner the periods manage to increase slighty once we increase the limit theta. I am already wondering if it is because the drag force or if that our mistake. I think we should have a similar period independent as the angle because i was told that T=2π √(L/g) as well as proved this. As the period, T depends the free autumn accelleration and the amount of the string, that doesn't change throughout my business experiment, shouldn't that time for all max angles the actual same? I am thinking that air resistance comes in, but I am unsure how. We haven't discovered that yet and because this is my first physics class ever and I'm very stumped. Interesting help? Plz pm me or reply.Maybe u get rewarded.
 
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