How to find the kinetic energy of a pendulum?

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SUMMARY

The kinetic energy of a pendulum can be calculated using the relationship between total mechanical energy and potential energy. The equation for kinetic energy is T = 1/2 mv², where m is mass and v is velocity. When the velocity is unknown, kinetic energy can be derived by subtracting potential energy from total energy, which is determined by the height from which the pendulum is released. This approach ensures accurate calculations of kinetic energy without direct velocity measurements.

PREREQUISITES
  • Understanding of potential energy and its calculation
  • Familiarity with the equation T = 1/2 mv²
  • Knowledge of mechanical energy conservation principles
  • Basic physics concepts related to pendulum motion
NEXT STEPS
  • Research the conservation of mechanical energy in pendulum systems
  • Explore the relationship between height and potential energy in pendulums
  • Learn about the dynamics of pendulum motion and velocity calculations
  • Investigate advanced topics in oscillatory motion and energy transformations
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of energy in pendulum systems.

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The potential energy can be obtained with the equation

Fnet = ∇U

Where Fnet is the sum of all the forces acting on the pendulum.



How can we obtain kinetic energy when we don't know the mechanical energy or the velocity?
 
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the kinetic energy of the pendulum will be equal to the total energy minus the potential energy

the total energy of the pendulum is determined by how high up it is released
 

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