Time period (T) = \large\displaystyle \frac{1}{f}
Angular frequency (ω) = \large\displaystyle 2\pi f=\frac{2\pi}{T}
Displacement (x) = \large\displaystyle A\sin(\omega t+\phi)
Velocity (v) = \large\displaystyle \pm\omega\sqrt{A^{2}-x^{2}}
Acceleration (a) = \large\displaystyle -\omega^{2}x
Maximum speed (vₘₐₓ) = \large\displaystyle \omega A
Maximum acceleration (aₘₐₓ) = \large\displaystyle \omega^{2}A
Time period of a mass–spring system (T) = \large\displaystyle 2\pi\sqrt{\frac{m}{k}}
Angular frequency of a mass–spring system (ω) = \large\displaystyle \sqrt{\frac{k}{m}}
Time period of a simple pendulum (T) = \large\displaystyle 2\pi\sqrt{\frac{l}{g}}
Angular frequency of a simple pendulum (ω) = \large\displaystyle \sqrt{\frac{g}{l}}
Total energy (E) = \large\displaystyle \frac{1}{2}m\omega^{2}A^{2}
Potential energy (U) = \large\displaystyle \frac{1}{2}m\omega^{2}x^{2}
Kinetic energy (K) = \large\displaystyle \frac{1}{2}m\omega^{2}\left(A^{2}-x^{2}\right)
Equivalent spring constant for springs in parallel (kₑq) = \large\displaystyle k_1+k_2+\cdots
Equivalent spring constant for springs in series (kₑq) = \large\displaystyle \left(\frac{1}{k_1}+\frac{1}{k_2}+\cdots\right)^{-1}