Acceleration Converter

Convert between m/s², ft/s², g-force, and other acceleration units

About Acceleration Converter Measurement

What Is Acceleration?

Acceleration is the rate at which an object's velocity changes over time. It is a fundamental concept in physics that describes how quickly an object speeds up, slows down, or changes direction. Unlike velocity, which measures speed and direction, acceleration specifically measures the change in velocity.

Mathematical Definition:

a = Δv/Δt

Where: a = acceleration (m/s²), Δv = change in velocity (m/s), Δt = change in time (s)

Acceleration is a vector quantity, meaning it has both magnitude and direction. When an object accelerates in the same direction as its motion, it speeds up (positive acceleration). When it accelerates in the opposite direction, it slows down (negative acceleration or deceleration).

Newton's Second Law and Acceleration

Isaac Newton's Second Law of Motion directly relates force, mass, and acceleration:

Newton's Second Law:

F = m × a

Where: F = force (N), m = mass (kg), a = acceleration (m/s²)

This fundamental equation shows that acceleration is inversely proportional to mass when force is constant. A larger mass requires more force to achieve the same acceleration. This principle is crucial in engineering applications, from automotive design to aerospace engineering.

Common Acceleration Units and Conversions

Acceleration is measured in various units depending on the application and region. The International System of Units (SI) uses meters per second squared (m/s²) as the standard unit.

UnitSymbolConversion to m/s²Common Applications
Meter per second squaredm/s²1Scientific research, physics
Foot per second squaredft/s²0.3048Engineering, construction
Standard gravityg9.80665Aviation, automotive testing
GalGal0.01Geophysics, seismology

Conversion Examples:

  • • 1 g = 9.81 m/s² = 32.17 ft/s²
  • • 1 m/s² = 3.28 ft/s² = 100 cm/s²
  • • 1 ft/s² = 0.305 m/s² = 30.48 cm/s²

Real-World Acceleration Examples

Acceleration values vary dramatically across different applications:

Walking
0.5-1.0 m/s²
Human locomotion
Car acceleration
3-5 m/s²
Normal driving
Sports car
8-12 m/s²
High-performance vehicles
Emergency braking
8-10 m/s²
Maximum deceleration
Roller coaster
15-30 m/s²
Amusement park rides
Fighter jet
50-100 m/s²
Military aircraft
Free fall (Earth)
9.81 m/s²
Gravitational acceleration
Free fall (Moon)
1.62 m/s²
Lunar gravity

Why Acceleration Measurement Is Important

Safety Applications

  • • Automotive safety: Crash testing, airbag deployment
  • • Aerospace safety: Flight envelope monitoring
  • • Industrial safety: Machine vibration monitoring
  • • Sports safety: Impact analysis, protective equipment

Performance Optimization

  • • Vehicle design: Engine performance, fuel efficiency
  • • Athletic training: Performance measurement
  • • Manufacturing: Quality control, process optimization
  • • Research: Scientific experiments, data collection

Regulatory Compliance

  • • Transportation: Vehicle safety standards
  • • Aviation: Flight certification, maintenance
  • • Industrial: Equipment safety standards
  • • Consumer products: Safety testing, quality assurance

Common Acceleration Values

Earth Gravity (g)
9.81 m/s²
Standard gravity
Car Acceleration
3-5 m/s²
Typical vehicle
Emergency Braking
8-10 m/s²
Maximum deceleration
Moon Gravity
1.62 m/s²
1/6 of Earth gravity
Free Fall
9.81 m/s²
Near Earth surface
Fighter Jet
50-100 m/s²
High-performance aircraft

Acceleration Information

What is Acceleration?

  • Definition: Rate of change of velocity (a = Δv/Δt)
  • SI Unit: m/s² (meter per second squared)
  • Vector: Has both magnitude and direction
  • Types: Linear, angular, centripetal

Common Units

  • m/s²: SI unit, scientific applications
  • ft/s²: Imperial unit, engineering
  • g (gravity): 9.81 m/s², aviation
  • km/h/s: Automotive applications

Frequently Asked Questions About Acceleration Conversion