Key Force Calculator

Key Force Calculator calculator can be used to calculate the force required to move an object on an inclined plane considering friction.

Input Parameters

Calculation Results

Calculation Formula

Force (F) = (mass × gravity × sin(angle) + mass × gravity × cos(angle) × friction)

Where:
F = Force required (N)
mass = Mass of the object (kg)
gravity = Acceleration due to gravity (9.81 m/s²)
angle = Angle of incline (degrees)
friction = Coefficient of friction

Result

Force Required: 0.00 N

Key Force Calculator Calculator Usage Guide

Learn how to use the Key Force Calculator calculator and its working principles

How to Use the Calculator

  1. Enter the mass of the object in kilograms (kg).
  2. Enter the angle of the incline in degrees.
  3. Enter the coefficient of friction (a dimensionless value between 0 and 1).
  4. Click the "Calculate" button to compute the force required.
  5. The result will be displayed in Newtons (N).

Working Principle

The calculator uses the formula: Force (F) = (mass × gravity × sin(angle) + mass × gravity × cos(angle) × friction). This formula accounts for both the component of gravitational force pulling the object down the incline and the frictional force resisting the motion.

Example

If you have a 10 kg object on a 30-degree incline with a coefficient of friction of 0.2, the force required to move the object up the incline would be calculated as follows:

Force (F) = (10 kg × 9.81 m/s² × sin(30°)) + (10 kg × 9.81 m/s² × cos(30°) × 0.2)

Force (F) = (10 × 9.81 × 0.5) + (10 × 9.81 × 0.866 × 0.2)

Force (F) = 49.05 + 16.97 = 66.02 N