Inclined Plane Calculator
Forces and Motion Analysis
Calculate all forces, acceleration, mechanical advantage, and efficiency for objects on an inclined plane with or without friction.
Inclined Plane Parameters
kg
°
Angle from horizontal (0-90°)
m/s²
Default: 9.81 m/s² (Earth)
Key Formulas
F∥ = mg sin(θ)
N = mg cos(θ)
f = μN
a = (F∥ - f) / m
Note
Positive acceleration means the object accelerates down the plane. Negative acceleration means friction prevents motion or slows it down.
About Inclined Planes
An inclined plane is a simple machine that reduces the force needed to lift an object by increasing the distance over which the force is applied.
- Weight splits into parallel and perpendicular components
- Mechanical advantage increases with smaller angles
- Friction reduces efficiency
Applications
- Ramps and wheelchair access
- Roads on mountains
- Conveyor belts
- Loading docks
- Screw threads and wedges
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