Waves
Spring Oscillation Period
Period of mass-spring system.
Variables
Ts
Period
Time for one cycle
Allowed values: greater than 0
mkg
Mass
Attached mass
Allowed values: greater than 0
kN/m
Spring constant
Spring stiffness
In SI units: kg/s²
Allowed values: greater than 0
Derivation
ω = √(k/m), T = 2π/ω = 2π√(m/k).
Your notes
0/5000
Check value
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- m = 2 kg (Mass)
- k = 3 N/m (Spring constant)
Result: T = 5.1301993 s
Other waves formulas with the same quantities
- SHM Total Energy (Simple Harmonic Motion) shares Spring constant, Mass
- Physical Pendulum Period (Simple Harmonic Motion) shares Period, Mass
- Torsional Oscillation Period (Simple Harmonic Motion) shares Period
- Damped Oscillation (Simple Harmonic Motion) shares Mass
- Quality Factor (Q Factor) (Simple Harmonic Motion) shares Mass
- Period and Frequency (Wave Properties) shares Period
Where this formula is listed
- Waves formulas, under Simple Harmonic Motion, alongside SHM Displacement, SHM Velocity, SHM Acceleration, SHM Maximum Velocity and Resonance Amplitude.
- In the waves list it comes after SHM Maximum Velocity and before Pendulum Period.
- Waves formula sheet, one of 37 formulas printed with symbol keys and SI units.
- The full formula index, grouped by category and topic.
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).