NATURAL FREQUENCY OF A VIBRATING SPRING

Spring Natural Frequency Calculator to calculate natural frequency of a vibrating spring with a weight at lower end. Spring is fixed from upper end and the lower end is free. Natural frequency formula used for calculation is given below the calculator.

Spring Natural Frequency Calculator:

 INPUT PARAMETERS Parameter Value Spring constant [k] N/m N/mm lbf/in Mass [M ] kg g lb

Note: Use dot "." as decimal separator.

 RESULTS Mass M at lower end, spring weight negligible Parameter Value First natural frequency [f1] --- Hz

Natural Frequency of Spring Mass System Formula:

 Parameter - Equation Uniform spring vibrating along its longitudinal axis; upper end fixed, lower end free. Mass M at lower end, spring weight negligible [f1] $${ f }_{ 1 }=\frac { 1 }{ 2\pi } \sqrt { \frac { k }{ M } }$$