The Angular Frequency of a Mass-Spring System calculator computes the angular frequency (ω) of a mass-spring system based on the spring constant and the mass.
INSTRUCTIONS: Choose units and enter the following:
- (k) Spring Constant in Newtons per Meter (N/m)
- (m) Mass of Object, not the spring.
Angular Frequency (ω): The calculator returns the angular frequency in radians per second. However, this can be automatically converted to compatible units via the pull-down menu.
The Math / Science
The formula for the angular frequency of a Mass-Spring system is:
`ω = sqrt(k/m)`
where:
The Mass-Spring System (angular frequency) equation solves for the angular frequency of an idealized Mass-Spring System. For more information and context on this equation, please see the Mass-Spring System Calculator page.
- 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.