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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√mk
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.
Spring Equation Calculators
- Period of an Oscillating Spring: This computes the period of oscillation of a spring based on the spring constant and mass.
- Mass of a Spring: This computes the mass based on the spring constant and the period of oscillation.
- Angular Frequency of a Spring: This computes the angular frequency based on the spring constant and the mass.
- Spring Constant: This computes a spring's constant based on the mass and period of oscillation.
- Work done on a Spring: This computes the work based on the spring constant and the two positions of a spring.
- Hooke's Law: This computes the force to change the length of a spring based on the spring constant and length of displacement.
- Force to Fully Compress a Spring: This computes the force required to fully compress a spring based on the spring's physical attributes including the Young's Modulus, wire diameter, length of spring, number of windings, Poisson ratio, and outer diameter of the spring.
