Formula Undamped Harmonic Oscillator Maximum velocity Amplitude Mass Spring constant
$$v_{\text{max}} ~=~ \sqrt{ \frac{D}{m} } \, A$$ $$v_{\text{max}} ~=~ \sqrt{ \frac{D}{m} } \, A$$
Maximum velocity
$$ v_{\text{max}} $$ Unit $$ \frac{\mathrm m}{\mathrm s} $$ Maximum velocity that can occur in a harmonic oscillation. For a spring pendulum, it is the maximum velocity of the mass connected to a spring. Here \(\omega = \sqrt{ \frac{D}{m} }\) is the angular frequency:$$ v_{\text{max}} ~=~ \omega \, A $$
Amplitude
$$ A $$ Unit $$ \mathrm{m} $$ Maximum deflection 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
$$ m $$ Unit $$ \mathrm{kg} $$ 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
$$ D $$ Unit $$ \frac{\mathrm N}{\mathrm m} $$ Spring constant describes the stiffness of a spring, i.e. how well the spring can be deflected.