calculate_spring_mass_period
Calculate the oscillation period of a spring-mass system using mass and spring constant inputs to determine period, frequency, and angular frequency.
Instructions
Calculate period of spring-mass system: T = 2π√(m/k).
Natural oscillation frequency of a mass attached to a spring.
Independent of amplitude (for ideal springs).
Args:
mass: Mass in kg
spring_constant: Spring constant k in N/m
Returns:
Dict containing:
- period: T in seconds
- frequency: f in Hz
- angular_frequency: ω in rad/s
Tips for LLMs:
- Heavier mass → longer period (slower oscillation)
- Stiffer spring → shorter period (faster oscillation)
- ω = 2πf = √(k/m)
Example - Mass on spring:
result = await calculate_spring_mass_period(
mass=0.5, # 500g mass
spring_constant=20.0 # N/m
)
# T ≈ 0.99s, f ≈ 1.01 HzInput Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| mass | Yes | ||
| spring_constant | Yes |