Incline Plane Force Calculator

The Incline Plane Force Calculator helps calculate the forces acting on an object on an inclined plane, including the gravitational force, normal force, and frictional force.

Input Parameters

Calculation Results

Calculation Formula

Fgravity = m * g * sin(θ)

Ffriction = μ * m * g * cos(θ)

Where:
m = Mass of the object (kg)
g = Acceleration due to gravity (9.81 m/s²)
θ = Angle of the incline (degrees)
μ = Coefficient of friction

Gravitational Force (N):

Frictional Force (N):

Normal Force (N):

Incline Plane Force Calculator Usage Guide

Learn how to use the Incline Plane Force Calculator and its working principles

How to Use the Calculator

  1. Enter the mass of the object in kilograms (kg).
  2. Input the angle of the incline in degrees.
  3. Provide the coefficient of friction (a value between 0 and 1).
  4. Click the "Calculate" button to compute the forces.
  5. The calculator will display the gravitational force, frictional force, and normal force acting on the object.

Understanding the Forces

The calculator computes three main forces acting on an object on an inclined plane:

  • Gravitational Force (Fgravity): The component of the gravitational force parallel to the incline, calculated as m * g * sin(θ).
  • Frictional Force (Ffriction): The force opposing the motion due to friction, calculated as μ * m * g * cos(θ).
  • Normal Force (Fnormal): The force exerted by the incline perpendicular to its surface, calculated as m * g * cos(θ).

Example

If you have a 10 kg object on an incline with an angle of 30 degrees and a friction coefficient of 0.2:

  • Gravitational Force: 10 kg * 9.81 m/s² * sin(30°) = 49.05 N
  • Frictional Force: 0.2 * 10 kg * 9.81 m/s² * cos(30°) = 16.97 N
  • Normal Force: 10 kg * 9.81 m/s² * cos(30°) = 84.98 N