Skip to content
Physics

Spring oscillator: frequency and energy

Find the period, frequency, energy and maximum speed of an ideal spring–mass oscillator.

Free & no registration Calculated in your browser
01

Your inputs

The starting values are an example.

Decimals: 12.5 · Thousands: 1,234.56. Follow the field instructions for lists.

02

Your result

Enter your values and select Calculate.

Your calculation will appear here.

Your result will include the relevant values and units.

Understand the calculation

Formula and example

How it is calculated

ω = √(k/m); T = 2π/ω; E = ½kA²; vₘₐₓ = ωA

Worked example

With k = 100 N/m, m = 1 kg and A = 5 cm, T is approximately 0.6283 s and the energy is 0.125 J.

Things to check

  • The amplitude is converted from centimetres to metres.
  • The model uses a linear spring and constant mass. Friction and damping are excluded.