Simple Pendulum Period
Compute the small-amplitude period T of a simple pendulum from length L (g=9.81).
Inputs
Formula
T = 2π·√(L/g)
Valid for small angles; large swings take longer.
Fundamentals
Compute the small-amplitude period T of a simple pendulum from length L (g=9.81).
This tool computes Simple Pendulum Period from the formula: T = 2π·√(L/g)
History
Classical mechanics founded by Newton; kinematics formulas remain the basis of mechanical and vehicle design.
Engineering applications
Used for mechanism kinematics, energy calculations and balancing.
Glossary
| Length L | Input parameter |
| Period T | Output result |
How to use
- Fill in Length L in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Period T in the results area.
Formula · Worked Example · Knowledge
Formula
核心计算关系：T = 2π·√(L/g)
输入变量：
- Length L
L— m
输出结果：
- Period T
T— s
假设/适用：Kinematic formulas assume rigid bodies, ignoring friction & elasticity; add losses for dynamics.
Worked Example
根据公式 T = 2π·√(L/g)，取 Length L = 1 m。
代入计算得：Period T = 2.006 s。
Key Points
- Kinematic formulas assume rigid bodies, ignoring friction & elasticity; add losses for dynamics.
- Use SI units (kg, m, s, rad) to avoid conversion errors.
- Angular and linear quantities relate by radius r: v = ω·r, a = α·r.
Parameters
Inputs
| Parameter | Symbol | Unit | Default |
|---|---|---|---|
| Length L (m) | L | m | 1 |
Outputs
| Result | Symbol | Unit |
|---|---|---|
| Period T | T | s |
Applications
- Linkage and cam kinematics design
- Pulley mechanical-advantage study
- Engine valve-train and crank analysis
FAQ
What formula does this tool use?
This tool computes per ISO / AGMA / ASME standard formulas: T = 2π·√(L/g)
How accurate are the results?
Results match input precision, based on SI units and common engineering approximations; for critical duty re-check with a safety factor.
Where is it used?
Linkage and cam kinematics design