\[T=2\pi\sqrt{\frac{m}{k}}\]
Variables
Toscillation period (s)
mmass (kg)
kspring constant (N/m)
Description
What is this formula?
This formula calculates the period of oscillation of a spring-mass system undergoing simple harmonic motion.
When to use it
Use this formula when determining how long a complete oscillation takes in an ideal spring-mass system.
Example
Data:
m = 2 kg
k = 200 N/m
Formula:
T=2π√(m/k)
Substitution:
T=2π√(2/200)
Result:
T=0.628 s
Applications
Mechanical vibrations
Suspension systems
Machine dynamics
Oscillation analysis
Physics education