Energy Exchange in a Pendulum
Watch potential energy transform into kinetic energy and back again while total mechanical energy stays constant.
Period, T2.46 s
Angle, θ+25.0°
Speed, v0.00 m/s
Total energy, E1.37 J
Controls
The period remains about 2 s or longer.
Mass scales the total energy — heavier bob stores more PE at the same height. Period is unaffected.
Kept ≤ 20° so the small-angle approximation stays within ~2% error.
At an extreme position
PE is maximum, KE is zero, and PE + KE still equals the same total energy.
Left extremePE = Total
KE = 0
KE = 0
EquilibriumKE = Total
PE ≈ 0
PE ≈ 0
Right extremePE = Total
KE = 0
KE = 0
PE = mgh |
KE = ½mv² |
E = PE + KE = constant
Pendulum motion
Total energy composition
PE 1.37 J + KE 0.00 J = Total 1.37 J
PE 100%
Potential energy
Total bar always = 100%
Kinetic energy
Individual energies
potential energy
kinetic energy
total energy