kg to Newtons Calculator

Convert between kilogram-force (kgf) and Newtons (N) with precise force calculations

Force Conversion Calculator

kgf

Force exerted by gravity on this mass

N

Force in SI unit (kg⋅m/s²)

Conversion Results

0.000000
Kilogram-Force (kgf)
0.000000
Newtons (N)

Conversion Details

Mass equivalent:0.000 kg
Gravity used:9.80665 m/s²
Conversion factor:1 kgf = 9.80665 N
Formula used:F = m × g

Example Calculation

Lifting a 15 kg Suitcase

Given: Mass = 15 kg, Earth gravity = 9.80665 m/s²

Find: Force required to lift the suitcase

Solution

Force = mass × gravity

F = 15 kg × 9.80665 m/s²

F = 147.1 N (or 15 kgf)

This is the minimum force needed to overcome gravity

Quick Reference

1 kgf = 9.80665 N (Standard Earth gravity)
1 N ≈ 0.102 kgf (Inverse conversion)
Kilogram-force is the weight of 1 kg under Earth's gravity
Newton is the force to accelerate 1 kg at 1 m/s²
Weight varies with gravity; mass stays constant

Understanding kg-force and Newtons

What is Kilogram-Force (kgf)?

Kilogram-force (kgf) is a unit of force that represents the force exerted by Earth's gravity on a mass of one kilogram. It's not an SI unit but is still commonly used in engineering and everyday applications when discussing weight as a force.

What is a Newton (N)?

The Newton is the SI unit of force, defined as the force required to accelerate a mass of one kilogram at a rate of one meter per second squared. It's named after Sir Isaac Newton and is derived from his second law of motion.

Conversion Formula

F (N) = m (kg) × g (m/s²)

1 kgf = 9.80665 N

  • F: Force in Newtons
  • m: Mass in kilograms
  • g: Gravitational acceleration (9.80665 m/s² on Earth)
  • kgf: Kilogram-force (weight under standard gravity)

Key Differences

Kilogram-Force (kgf)

  • • Based on Earth's standard gravity
  • • Not an SI unit
  • • Common in engineering applications
  • • Represents gravitational force on mass
  • • Varies with local gravity

Newton (N)

  • • Official SI unit of force
  • • Based on mass and acceleration
  • • Used in scientific calculations
  • • Independent of gravity
  • • Universal unit for any force

Important Notes:

  • • Weight is a force measured in Newtons, while mass is measured in kilograms
  • • The term "kg" is sometimes incorrectly used when referring to weight force
  • • On other planets, the same mass will have different weight due to different gravity
  • • Standard gravity (9.80665 m/s²) is used for official conversions