Equations
Period of a mass on a spring
Waves · id spring_mass_period
T = 2 \pi \sqrt{\frac{m}{k}}
| Symbol | Quantity | Unit | Meaning | Usual range |
|---|---|---|---|---|
T | period | s | Time for one full oscillation | 1e-06 to 1e+06 |
m | mass | kg | Oscillating mass | 0.001 to 1e+07 |
k | spring constant | N/m | Stiffness of the spring | 0.1 to 1e+07 |
Assumptions
- Ideal spring
- No friction or damping
Valid when
- Small oscillations within the elastic limit
Found by
Questions with these words retrieve this equation: oscillation, spring, period, bounce, mass on a spring, simple harmonic motion.
Source
OpenStax University Physics Volume 1, Chapter 15 (reference; entry written by the project). License: MIT. Entry confidence: 0.99.