Spring-Mass Period Calculator — T = 2π√(m/k)

Heavier masses swing slower, stiffer springs swing faster — the period of a mass-spring oscillator follows from Newton's second law plus Hooke's law.

Spring-Mass Period Calculator — T = 2π√(m/k)

T=2πmkT = 2\pi\sqrt{\frac{m}{k}}

How to interpret the result

Car suspensions are tuned with this: a soft spring and heavy car give a slow, comfortable bounce frequency around 1 Hz.

Assumptions

  • Ideal massless spring
  • No damping (no friction)
  • Motion along the spring axis