calculate_jerk
Calculate jerk (rate of change of acceleration) from time and acceleration data. Determine jerk vectors, average jerk, and maximum jerk magnitude for vehicle comfort analysis and mechanical design.
Instructions
Calculate jerk (rate of change of acceleration).
Jerk = da/dt is important for comfort in vehicles and mechanical design.
Args:
times: Time values in seconds (or JSON string)
accelerations: Acceleration vectors [[x,y,z], ...] in m/s² (or JSON string)
Returns:
Dict containing:
- jerks: Jerk vectors [[x,y,z], ...] in m/s³
- average_jerk: Average jerk [x,y,z] in m/s³
- max_jerk_magnitude: Maximum jerk magnitude in m/s³
Example:
result = await calculate_jerk(
times=[0, 1, 2, 3],
accelerations=[[0,0,0], [2,0,0], [4,0,0], [6,0,0]]
)
# jerk_x ≈ 2 m/s³ (constant)Input Schema
TableJSON Schema
| Name | Required | Description | Default |
|---|---|---|---|
| times | Yes | ||
| accelerations | Yes |