Simple Pendulum Centripetal Acceleration

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SUMMARY

The discussion centers on calculating centripetal acceleration for a simple pendulum using the formula \( a_c = \frac{v^2}{r} \). Participants emphasize the importance of applying Newton's Second Law to derive the correct velocity from kinetic energy, represented as \( KE = 0.5mv^2 \). The conversation highlights common pitfalls in converting potential energy (PE) into velocity and reinforces the need for a clear understanding of the relationships between kinetic and potential energy in pendulum motion.

PREREQUISITES
  • Understanding of centripetal acceleration and its formula
  • Familiarity with Newton's Second Law
  • Knowledge of kinetic energy and its equation
  • Basic principles of pendulum motion
NEXT STEPS
  • Study the derivation of centripetal acceleration in pendulum systems
  • Learn how to apply Newton's Second Law in rotational dynamics
  • Explore the relationship between potential energy and kinetic energy in oscillatory motion
  • Investigate real-world applications of simple pendulum physics
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding the dynamics of pendulum motion and centripetal acceleration.

robwashere
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Homework Statement


http://screensnapr.com/v/tC6gC3.jpg


Homework Equations


Im guessing: Centripetal Acceleration = v^2/r
PE = mgh
KE = .5mv^2

The Attempt at a Solution


I tried to convert the givens into velocity by using .5mv^2, but that does not work.
 
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Hint: Apply Newton's 2nd law.
 
Doc Al said:
Hint: Apply Newton's 2nd law.

You sir, are a genius! Thanks!
 

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