Unravel the principles of Simple Harmonic Motion (SHM) with our dedicated online calculator. Quickly determine the period (T) and frequency (f) of an oscillating mass-spring system by inputting the object's mass and the spring's constant. An essential tool for physics students and professionals alike to understand oscillatory motion.
Formula:
The Simple Harmonic Motion (SHM) calculator determines the period (T) and frequency (f) of an oscillating mass-spring system using the following fundamental formulas:
- Period (T): T = 2π√(m/k)
- Frequency (f): f = 1 / T
Where:
- T = Period of oscillation (seconds, s) – The time taken for one complete oscillation.
- f = Frequency of oscillation (Hertz, Hz) – The number of oscillations per unit time.
- m = Mass of the oscillating object (kilograms, kg) – The inertia of the system.
- k = Spring constant (Newtons per meter, N/m) – A measure of the spring's stiffness.
- π ≈ 3.14159 (mathematical constant Pi)