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Mendeleev · Physics

Mass–spring oscillator period

For an ideal mass–spring oscillator, the period increases with mass and decreases as the spring becomes stiffer.

Formula usedT = 2π√(m/k)
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Calculate

Mass–spring oscillator period

What do the symbols mean?

Tperiod
mmass
kspring constant

Two worked examples

Example 1

A 0.50 kg mass on a 200 N/m spring oscillates with a period of about 0.314 s.

Example 2

Keeping the same spring and multiplying the mass by four doubles the period.

Good to knowThis model neglects damping and assumes the spring behaves linearly.

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