`T = 2 pi sqrt( m / k )`

Enter a value for all fields

The Period of a Mass-Spring System calculator computes the period (Τ) of a mass-spring system based on the spring constant and the mass.

INSTRUCTIONS: Choose units and enter the following:

• (k)  Spring Constant
• (m)  Mass of Object (not the spring)

Period of a Spring System (Τ):  The calculator returns the period in second.  However, this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

The formula for the period of a Mass-Spring system is:

          `Τ = 2π sqrt(m/k)`

where:

• Τ is the period of the mass-spring system.
• k is the spring constant in newtons per meter (N/m)
• m is the mass of the object, not the spring.

The Mass-Spring System (period) equation solves for the period of an idealized Mass-Spring System.  For more information and context on this equation, please see the Mass-Spring System Calculator page.

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