Pendulum Kinetic Energy
Calculate pendulum bob kinetic energy using KE = ½mv². Free online physics calculator with instant results, interactive bar and pie charts, and step-by-step breakdowns for students and educators.
About This Calculator
The Pendulum Kinetic Energy Calculator computes the instantaneous kinetic energy of a pendulum bob using the standard physics formula KE = ½ × m × v². This tool is ideal for physics students, teachers, and anyone studying simple harmonic motion and energy conservation in pendulum systems.
Kinetic energy is the energy an object possesses due to its motion. For a pendulum, the kinetic energy varies throughout the swing — it is maximum at the bottom of the swing where the bob moves fastest, and zero at the highest points where the bob momentarily stops. As the pendulum swings, energy continuously converts between kinetic energy and gravitational potential energy, with the total mechanical energy remaining constant in an ideal frictionless system.
The calculator uses SI units: mass in kilograms (kg), velocity in meters per second (m/s), and outputs kinetic energy in joules (J). Enter any positive values for mass and velocity to get instant results with visual charts and a detailed numerical breakdown.
How to Use
Enter the mass of the pendulum bob (in kg) and its instantaneous velocity (in m/s), then click Calculate. The result panel shows the kinetic energy in joules along with a bar chart or pie chart visualization of the energy components. Use the shareable URL to bookmark or share your exact calculation.
Frequently Asked Questions
What is kinetic energy of a pendulum?
Kinetic energy of a pendulum is the energy the pendulum bob possesses due to its motion. It is maximum at the lowest point of the swing (equilibrium position) where velocity is highest, and minimum at the extreme positions where velocity is zero. The kinetic energy is calculated using KE = ½ × m × v², where m is the mass of the bob and v is its instantaneous velocity.
How is pendulum kinetic energy calculated?
Pendulum kinetic energy is calculated using the standard kinetic energy formula KE = ½ × m × v². Enter the mass of the pendulum bob in kilograms and its instantaneous velocity in meters per second. The calculator outputs the kinetic energy in joules (J) along with a breakdown of mass and velocity components.
What units does this calculator use?
This calculator uses SI units throughout: mass in kilograms (kg), velocity in meters per second (m/s), and kinetic energy in joules (J). These are the standard scientific units for physics calculations.
What is the formula for kinetic energy?
The kinetic energy formula is KE = ½ × m × v², where m is the mass of the object in kilograms and v is its velocity in meters per second. Since velocity is squared, doubling the speed quadruples the kinetic energy.
Where is pendulum kinetic energy maximum?
The kinetic energy of a pendulum is maximum at the lowest point of its swing (the equilibrium position). At this point, the pendulum bob has its highest velocity because all gravitational potential energy has been converted to kinetic energy. Kinetic energy is zero at the highest points of the swing where the bob momentarily stops before changing direction.
How does mass affect pendulum kinetic energy?
Kinetic energy is directly proportional to mass (KE ∝ m). Doubling the mass of the pendulum bob doubles the kinetic energy at any given velocity. However, the period of a simple pendulum is independent of the bob's mass, so a heavier pendulum swings at the same frequency but carries more energy.
What is the difference between kinetic and potential energy in a pendulum?
A pendulum continuously exchanges energy between kinetic and potential forms. At the highest points of the swing, energy is entirely gravitational potential energy. At the lowest point, energy is entirely kinetic. At any intermediate position, the total mechanical energy is the sum of both forms, and in an ideal pendulum without friction, this total energy remains constant.