Maximum kinetic energy of a pendulum

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SUMMARY

The maximum kinetic energy of a pendulum with a mass of 3.2 kg, a length of 1.5 meters, and a swing arc of 17 degrees is calculated using the potential energy formula PE = mgh and the kinetic energy formula KE = 1/2mv^2. The correct height at 17 degrees is approximately 0.43856 meters, leading to a potential energy of 13.767 Joules. However, the online checker indicates a maximum kinetic energy of 2.1 Joules, suggesting a miscalculation in the height or energy conversion process.

PREREQUISITES
  • Understanding of gravitational potential energy (PE = mgh)
  • Knowledge of kinetic energy formula (KE = 1/2mv^2)
  • Basic trigonometry for calculating height from angle
  • Familiarity with pendulum motion principles
NEXT STEPS
  • Review the derivation of potential energy in pendulum systems
  • Learn about energy conservation in pendulum motion
  • Explore the effects of angle on pendulum height calculations
  • Investigate common errors in energy calculations for pendulums
USEFUL FOR

Students studying AP Physics, particularly those focusing on mechanics and energy conservation principles, as well as educators looking for examples of pendulum energy calculations.

jforce93
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Homework Statement


Okay, so I'm using the online Giancoli physics thing for AP Physics C summer work (see: "([PLAIN]http://wps.prenhall.com/esm_giancoli_physicsppa_6"[/URL]. I think my way of doing it is correct, but the online checker says I'm wrong.
The question: "A pendulum has a mass of 3.2 kg, a length of 1.5 meters, and swings through a (half)arc of 17 degrees. To the nearest tenth of a Joule, what is its maximum kinetic energy of the pendulum?"

Homework Equations


PE = mgh
KE = 1/2mv^2


The Attempt at a Solution


Find the PE of the pendulum. The height of it at 17 degrees: .43856 meters (about).
PE = 3.2*9.81*.43856 = 13.767 Joules. But the online checker says 2.1 Joules.

What am I doing wrong? Or, am I doing it right, the online thing is just wrong?

Thanks,

Jordan
 

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Your height for the pendulum bob is not correct.
 

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