Mechanical Work
Compute work W from force F, displacement s and angle θ.
Inputs
Formula
W = F·s·cosθ
Work is maximal when force aligns with displacement.
Fundamentals
Compute work W from force F, displacement s and angle θ.
This tool computes Mechanical Work from the formula: W = F·s·cosθ
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
| Force F | Input parameter |
| Displacement s | Input parameter |
| Angle θ | Input parameter |
| Work W | Output result |
How to use
- Fill in Force F, Displacement s, Angle θ in the Inputs section (watch the unit on each field).
- Click Calculate; the tool evaluates the formula shown above.
- Read Work W in the results area.
Formula · Worked Example · Knowledge
Formula
核心计算关系：W = F·s·cosθ
输入变量：
- Force F
F— N - Displacement s
s— m - Angle θ
theta— °
输出结果：
- Work W
W— J
假设/适用：Kinematic formulas assume rigid bodies, ignoring friction & elasticity; add losses for dynamics.
Worked Example
根据公式 W = F·s·cosθ，取 Force F = 100 N；Displacement s = 10 m；Angle θ = 0 °。
代入计算得：Work W = 1,000 J。
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 |
|---|---|---|---|
| Force F (N) | F | N | 100 |
| Displacement s (m) | s | m | 10 |
| Angle θ (°) | theta | ° | 0 |
Outputs
| Result | Symbol | Unit |
|---|---|---|
| Work W | W | J |
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: W = F·s·cosθ
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