Physics · University
Mass-spring oscillation period
Ideal linear spring; negligible damping. Small displacement is assumed where Hooke’s law is approximate.
Method and conditions
Ideal linear spring; negligible damping. Small displacement is assumed where Hooke’s law is approximate.
T = 2π√(m/k)
Worked examples
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
An ideal mass-spring oscillator has m=1.3 kg and k=100 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.
0.7164 s
Try it
An ideal mass-spring oscillator has m=3.1 kg and k=540 N/m. Calculate its period. Round the final result to 4 decimal places if needed. Answer in s.
An ideal mass-spring oscillator has m=1.5 kg and k=110 N/m. Calculate its period. Round the final result to 4 decimal places if needed. Answer in s.
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Answers and marking notes
- 0.4761 s
Angular frequency is √(k/m); period is 2π divided by that angular frequency.
- 0.7337 s
Angular frequency is √(k/m); period is 2π divided by that angular frequency.
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