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Spring Oscillation Period

Find an ideal mass-spring system’s natural period.

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Local calculations. Results are estimates, not professional advice.

Natural period

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Idealized classical model in SI units. Check sign conventions and assumptions; not a certified engineering design calculation.

Formula

T=2π√(m/k)

Find an ideal mass-spring system’s natural period.

Worked example

Mass (kg)
10
Spring stiffness (N/m)
200
Natural period
1.40496294621 s
Natural frequency
0.711762543417 Hz

Scope and limitations

Idealized classical model in SI units. Check sign conventions and assumptions; not a certified engineering design calculation.

Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.

Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.

Formula version: 593edbe47982 · Example checked:

Methodology

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