Converter
Common Units
Formulas
Examples
Guide

Force Converter

Important Note: Force is a vector quantity that causes acceleration when applied to mass (F = ma). This converter handles all major force units used in physics, engineering, and scientific applications.

Common Force Units

Newton
N

SI unit of force. 1 N = 1 kg⋅m/s². Force needed to accelerate 1 kg by 1 m/s².

Kilonewton
kN

1000 Newtons. Common in structural engineering and large force measurements.

Dyne
dyn

CGS unit of force. 1 dyn = 10⁻⁵ N. Used in physics for small force measurements.

Pound-force
lbf

Imperial/US force unit. Force exerted by 1 pound mass under standard gravity (9.80665 m/s²).

Kilogram-force
kgf

Gravitational force on 1 kg mass. 1 kgf = 9.80665 N. Used in engineering applications.

Kip
kip

1000 pound-force. Common in structural engineering for large loads and building design.

Force Conversion Table

Unit Newton (N) Pound-force (lbf) Dyne (dyn) kgf Common Application
1 Newton10.22510⁵0.102Physics calculations
1 Kilonewton1,000224.810⁸102Structural engineering
1 Pound-force4.44814.448×10⁵0.454US engineering
1 Kilogram-force9.8072.2059.807×10⁵1Metric engineering
1 Dyne10⁻⁵2.248×10⁻⁶11.02×10⁻⁶CGS physics
1 Kip4,4481,0004.448×10⁸453.6Civil engineering

Force Formulas & Calculations

Newton's Second Law
F = ma
Force = mass × acceleration

Fundamental force equation. Defines the relationship between force, mass, and acceleration.

Weight Force
W = mg
Weight = mass × gravity

Gravitational force on an object. Standard gravity g = 9.80665 m/s².

Spring Force (Hooke's Law)
F = kx
Force = spring constant × displacement

Force in elastic springs and materials under deformation.

Friction Force
f = μN
Friction = coefficient × normal force

Force opposing motion between surfaces in contact.

Centripetal Force
F = mv²/r
F = mω²r

Force directed toward center of circular motion.

Pressure Force
F = PA
Force = pressure × area

Force exerted by pressure over a given area.

Force System Conversions

System Base Units Force Unit Definition
SI (International)kg, m, sNewton (N)kg⋅m/s²
CGS (Centimeter-Gram-Second)g, cm, sDyne (dyn)g⋅cm/s²
Imperial/USlb, ft, sPoundal (pdl)lb⋅ft/s²
US Engineeringslug, ft, sPound-force (lbf)slug⋅ft/s²
Metric Technicalutm, m, sKilogram-force (kgf)utm⋅m/s²
MTS (Meter-Tonne-Second)tonne, m, sSthène (sn)tonne⋅m/s²
Important: Force is a vector quantity with both magnitude and direction. Always consider the direction when applying forces in engineering calculations.

Force Examples & Applications

👨‍🔬 Human Scale Forces
  • Human bite force: 700-1,000 N (160-225 lbf)
  • Handshake force: 300-400 N (67-90 lbf)
  • Walking step force: 1,000-1,500 N (225-337 lbf)
  • Strong person lifting: 2,000-4,000 N (450-900 lbf)
  • Muscle force (bicep): 300-1,000 N (67-225 lbf)
  • Jumping force: 2,500-4,000 N (562-900 lbf)
🏗️ Structural Engineering
  • House beam load: 50-200 kN (11-45 kip)
  • Bridge cable tension: 10-50 MN (2-11 Mlbf)
  • Building column load: 500-2,000 kN (112-450 kip)
  • Crane lifting capacity: 100-1,000 kN (22-225 kip)
  • Wind load on building: 1-10 kN/m² (145-1450 lbf/ft²)
  • Earthquake force: 1-100 MN (225 klbf-22 Mlbf)
🚗 Automotive Forces
  • Car braking force: 5-15 kN (1.1-3.4 kip)
  • Engine force: 200-2,000 N (45-450 lbf)
  • Tire grip force: 5-10 kN (1.1-2.2 kip)
  • Seatbelt force (crash): 10-20 kN (2.2-4.5 kip)
  • Suspension spring: 2-8 kN (450-1,800 lbf)
  • Aerodynamic drag: 200-800 N (45-180 lbf)
✈️ Aerospace & Transportation
  • Jet engine thrust: 100-500 kN (22-112 kip)
  • Rocket engine thrust: 1-30 MN (225 kip-6.7 Mlbf)
  • Aircraft landing force: 50-200 kN (11-45 kip)
  • Train coupling force: 1-3 MN (225-675 kip)
  • Spacecraft G-force: 30-90 kN (6.7-20 kip)
  • Helicopter rotor thrust: 20-100 kN (4.5-22 kip)

Natural Forces & Phenomena

🌍 Gravitational Forces

Earth-Moon attraction: 1.98×10²⁰ N

Earth-Sun attraction: 3.52×10²² N

Person on Earth: 700 N (150 lbf) average

Apple falling: 1 N (0.22 lbf)

⚡ Electromagnetic Forces

Lightning strike: 30,000 A × B field

MRI magnet force: 1,000-10,000 N

Particle accelerator: 10⁻¹²-10⁻⁶ N

Van der Waals force: 10⁻¹¹ N (molecular)

🌪️ Weather Forces

Hurricane wind force: 1-10 kN/m²

Tornado force: 10-100 kN/m²

Tsunami wave force: 100-1,000 kN/m²

Hailstone impact: 10-100 N

Force Guide & Applications

📏 Understanding Force
  • Definition: Push or pull causing acceleration
  • Vector quantity: Has magnitude and direction
  • SI Unit: Newton (N) = kg⋅m/s²
  • Effects: Changes motion, deforms objects
🎯 Types of Forces
  • Contact forces: Friction, normal, tension
  • Non-contact: Gravitational, electromagnetic
  • Conservative: Gravity, spring forces
  • Non-conservative: Friction, air resistance
🌍 Applications by Field
  • Physics: Newton (N), dyne (dyn)
  • Engineering: kN, MN, lbf, kip
  • Materials: N/mm², stress calculations
  • Automotive: kN, lbf for testing
🔬 Measurement Methods
  • Load cell: Electronic force measurement
  • Spring scale: Mechanical force gauge
  • Strain gauge: Deformation-based measurement
  • Dynamometer: Force and torque measurement
⚠️ Common Mistakes
  • Mass vs Weight: Weight is force (mg), mass is not
  • Force vs Pressure: Force/area = pressure
  • Vector nature: Direction matters in calculations
  • Unit systems: Don't mix SI and Imperial units
🔄 Conversion Tips
  • Quick estimate: 1 lbf ≈ 4.5 N, 1 kgf ≈ 10 N
  • Weight conversion: Multiply mass by 9.81 m/s²
  • Precision: Use exact factors for engineering
  • Context: Choose appropriate unit for scale

Force Calculation Best Practices

Pro Tips:
  • Always consider force as a vector with direction
  • Distinguish between mass (kg) and weight force (N)
  • Use consistent unit systems throughout calculations
  • Consider all forces acting on an object (free body diagram)
  • Remember Newton's third law: action-reaction force pairs
  • Account for safety factors in engineering applications