Force Calculator

Calculate force using Newton's Second Law of Motion (F = ma)

Force Calculator - Newton's Second Law of Motion
Calculate Force
Unit System

Understanding Force and Newton's Second Law

Newton's Second Law

Newton's Second Law of Motion states that the force acting on an object is equal to the mass of the object multiplied by its acceleration.

F = m × a

Where:

  • F = Force (in Newtons or pound-force)
  • m = Mass (in kilograms or pounds)
  • a = Acceleration (in m/s² or ft/s²)

Units of Force

  • Newton (N): The SI unit of force. One Newton is the force needed to accelerate 1 kg of mass at 1 m/s².
  • Pound-force (lbf): The imperial unit of force. One pound-force is the force needed to accelerate 1 pound of mass at 32.174 ft/s².
  • Conversion: 1 N = 0.224809 lbf
  • Conversion: 1 lbf = 4.44822 N

Common Force Examples

Weight of 70kg person
686 N
Car (1000kg) accelerating
2000 N (at 2 m/s²)
Rocket thrust
Millions of N
Apple falling
~1 N
Bicycle braking
~200 N
Punching force
~1000 N

Unit Conversions

Metric to Imperial

  • 1 kg = 2.20462 lb
  • 1 m/s² = 3.28084 ft/s²
  • 1 N = 0.224809 lbf

Imperial to Metric

  • 1 lb = 0.453592 kg
  • 1 ft/s² = 0.3048 m/s²
  • 1 lbf = 4.44822 N