Decimal places:
Thousands separator:
Unit system:
Velocity:
Radius:
Diameter:
Enter values to calculate
Centripetal Acceleration Calculator
This centripetal acceleration calculator determines the acceleration experienced by objects moving in circular motion. The calculator provides three calculation modes to find acceleration, velocity, or radius based on the fundamental centripetal force relationship.
ac = v² / r
ac = centripetal acceleration (m/s²)
v = tangential velocity (m/s)
r = radius of circular path (m)
The calculator supports multiple unit systems including metric (m/s, m/s², m) and imperial (ft/s, ft/s², ft) measurements. Additional units include km/h, mph for velocity; cm, mm, km, in, mi for distance; and g-force for acceleration.
Three Calculation Modes: Calculate Acceleration • Calculate Velocity • Calculate Radius
Calculation Examples
Car Taking a Turn
Velocity: 30 km/h (8.33 m/s)
Radius: 25 m
Centripetal Acceleration: 2.78 m/s²
Bicycle on Curved Track
Velocity: 15 mph (6.71 m/s)
Radius: 10 ft (3.05 m)
Centripetal Acceleration: 14.75 m/s²
Satellite Orbital Motion
Acceleration: 9.8 m/s²
Radius: 6400 km
Orbital Velocity: 7.92 km/s
Centrifuge Application
Velocity: 50 m/s
Acceleration: 1000 m/s²
Required Radius: 2.5 m
Roller Coaster Loop
Velocity: 60 ft/s (18.29 m/s)
Radius: 50 ft (15.24 m)
Centripetal Acceleration: 21.95 m/s²
Planet Orbital Calculation
Acceleration: 0.006 m/s²
Radius: 150 million km
Orbital Speed: 30 km/s
Washing Machine Spin
Velocity: 5 m/s
Diameter: 60 cm (0.3 m radius)
Centripetal Acceleration: 83.33 m/s²
Racing Car on Track
Velocity: 200 km/h (55.56 m/s)
Turn Radius: 300 m
Centripetal Acceleration: 10.29 m/s²
Aircraft Banking Turn
Acceleration: 2g (19.61 m/s²)
Velocity: 250 mph (111.76 m/s)
Turn Radius: 637 m
Electron in Cyclotron
Radius: 0.1 m
Acceleration: 10¹² m/s²
Particle Velocity: 10⁶ m/s
The calculator automatically converts between different unit systems and provides comprehensive results including alternative unit representations for acceleration, velocity, radius, and diameter measurements.