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Inclined-Plane Force Calculator — result sheet
Estimate normal force, downhill gravity, kinetic friction, and the force needed to move an object up an incline at constant speed.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: N = mg cos θ; downhill gravity = mg sin θ; kinetic friction = μN; force up the plane at constant speed = mg sin θ + μmg cos θ.
An incline separates weight into a component along the surface and a component perpendicular to it. For a steady upward motion model, the applied force must balance the downhill gravity component and kinetic friction; starting from rest may require a different static-friction coefficient.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Mass — kg; minimum 1.0E-6; maximum 10000000
- Incline angle — degrees; minimum 0; maximum 89.9
- Kinetic friction coefficient — unitless; minimum 0; maximum 100
Worked example
| Input | Value |
|---|---|
| Mass | 10 |
| Incline angle | 30 |
| Kinetic friction coefficient | 0.3 |
A 10 kg object on a 30° incline with μ = 0.3 needs about 74.5 N up the plane at constant speed.
Assumptions and limits
- The plane is straight, rigid, and measured by its angle above the horizontal.
- The object moves up the plane at constant speed, so its net force along the plane is zero.
- The entered coefficient is kinetic friction and the model ignores rolling resistance, pulleys, air drag, and changing acceleration.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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