Skip to main content

Formula Undamped Harmonic Oscillator Maximum acceleration    Amplitude    Mass    Spring constant

Formula: Undamped Harmonic Oscillator
Hooke Law: Displacement of the spring and restoring force
Hover the image! Get this illustration

Maximum acceleration

Maximum acceleration that can occur in a harmonic oscillation. For a spring pendulum it is the maximum acceleration of the mass connected to a spring. Here \(\omega^2 = \frac{D}{m} \) is the angular frequency squared:$$ a_{\text{max}} ~=~ \omega^2 \, A $$


Maximum displacement of a harmonic oscillator. In the case of a spring pendulum, it is the maximum distance of the mass from the rest position of the spring (undeflected mass).


Mass of the harmonic oscillator. For a spring pendulum, it is in good approximation the mass hanging on the spring. In the case of a spring whose mass cannot be neglected, a part of the mass of the spring must also be taken into account in \(m\) because it also oscillates.

Spring constant

Spring constant describes the stiffness of a spring, i.e. how well the spring can be deflected.