Physics · University
Mass-spring oscillation period · formula reference
Ideal linear spring; negligible damping. Small displacement is assumed where Hooke’s law is approximate.
Formula
Ideal linear spring; negligible damping. Small displacement is assumed where Hooke’s law is approximate.
T = 2π√(m/k)
Worked example
An ideal mass-spring oscillator has m=0.8 kg and k=380 N/m. Calculate its period. Round the final result to 4 decimal places if needed. Answer in s.
Angular frequency is √(k/m); period is 2π divided by that angular frequency.
0.2883 s
Prerequisites and checking
Algebra, calculus and the stated physical model. Keep units and rounding consistent. State the model conditions before applying the formula.
Further reading and review references
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