Spring Calculator

Calculate spring force (Hooke's law), simple harmonic motion period, and elastic potential energy online. Free physics calculator for mechanics problems

F = −kx (Hooke's law)

T = 2π√(m/k)

PE = ½kx², KE = ½mv²

E = PE + KE = const

Input Parameters

Spring constant k (N/m)

Mass m (kg)

Displacement x (m)

Velocity v (m/s)

Force & Motion

Restoring force F

-10.0000 N

Period T

0.628319 s

Frequency f

1.5915 Hz

Angular freq. ω

10.0000 rad/s

Energy

Potential energy PE

0.500000 J

Kinetic energy KE

0.000000 J

Total energy E

0.500000 J

Max displacement (amplitude)

0.100000 m

Max velocity

1.000000 m/s