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Mass on a Spring Calculator

〰 Oscillations & waves. Use the Mass on a spring formula to find period, mass, spring constant k: pick the value you want, type the others, and the answer updates as you go.

T=2πmkT = 2\pi\sqrt{\dfrac{m}{k}}
Period0.62832 s

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Periods
Masskg
Spring constant kN/m

Worked example

Find the period when Mass = 0.4 kg, Spring constant k = 40 N/m.

Using T = 2π√(m/k): Period = 0.62832 s.

Frequently asked questions

What is the formula for Mass on a spring?

T = 2π√(m/k).

What do the letters stand for, and what units are used?

Period in s, Mass in kg, Spring constant k in N/m.

How do you calculate period?

Put the values into T = 2π√(m/k). For example, with Mass = 0.4 kg, Spring constant k = 40 N/m, period = 0.62832 s.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (period, mass, spring constant k) and fill in the others: it rearranges the formula for you.

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