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]
Mass [M ]

Note: Use dot "." as decimal separator.

 


 RESULTS
Mass M at lower end, spring weight negligible
Natural Frequency of a Vibrating Spring
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]
$${ f }_{ 1 }=\frac { 1 }{ 2\pi } \sqrt { \frac { k }{ M } } $$

Reference: