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Waves
Waves

Spring Oscillation Period

T=2πmkT = 2\pi\sqrt{\frac{m}{k}}

Period of mass-spring system.

Variables

T
Period
Time for one cycle
s
m
Mass
Attached mass
kg
k
Spring constant
Spring stiffness
N/m

Derivation

ω = √(k/m), T = 2π/ω = 2π√(m/k).

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Common questions

What is the Spring Oscillation Period formula?

Spring Oscillation Period is written T = 2π√(m/k). Period of mass-spring system. It belongs to Waves, under Simple Harmonic Motion.

What are the units in T = 2π√(m/k)?

In SI units, T is period, measured in s; m is mass, measured in kg; k is spring constant, measured in kg/s².

How is the Spring Oscillation Period formula derived?

ω = √(k/m), T = 2π/ω = 2π√(m/k). The result is T = 2π√(m/k).