Period of a Spring-Mass Oscillator
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A mass on a spring oscillates with a period set only by the mass and the stiffness — not by how far you pull it before letting go. Heavier mass means a slower bounce; a stiffer spring means a faster one. One kilogram on a 100 N/m spring cycles every 2π√(1/100) ≈ 0.63 s. Engineers run the relation in reverse, timing oscillations to measure the effective stiffness of real structures.
Period of a Spring-Mass Oscillator
Where
- = Period
- = Mass
- = Spring constant
Missing one of these? Work it out first, then come back
- Period — Speed in Circular Motion (v = 2πr/T), Angular Velocity from Period
- Mass — Newton's Second Law, Kinetic Energy
- Spring constant — Hooke's Law, Elastic Potential Energy