Convert Feet per second squared to Kilometres per second squared
Convert Feet per second squared (ft/s²) to Kilometres per second squared (km/s²) instantly and accurately.
Conversion Formula
km/s² = ft/s² × 0.0003048
About Feet per second squared
The foot per second squared (ft/s²) equals exactly 0.3048 m/s², the coherent acceleration unit in the imperial engineering system where F [lbf] = m [slug] × a [ft/s²]. Standard gravity is g₀ = 32.174 ft/s², a constant used throughout US aerospace and structural engineering - from legacy NACA reports to modern software (SAP2000, ETABS with US units). A car braking at 0.8 g decelerates at about 25.7 ft/s². 1 ft/s² = 0.3048 m/s² ≈ 3.108 × 10⁻² g₀.
About Kilometres per second squared
The kilometre per second squared (km/s²) equals 1000 m/s², useful in astrodynamics where velocities are naturally in km/s. Solar system surface gravities: Earth ≈ 9.807 × 10⁻³ km/s², Moon ≈ 1.62 × 10⁻³ km/s², Jupiter ≈ 0.0248 km/s², Sun ≈ 0.274 km/s². Spacecraft trajectory simulators (GMAT, STK) express perturbation accelerations in km/s² through the equation of motion ā = -μr/r³ + δa_perturb. Ion engine thrust on a 600 kg probe (8 mN) gives ≈ 1.3 × 10⁻⁸ km/s². 1 km/s² = 1000 m/s² ≈ 101.97 g₀.
Quick Reference Table
| Feet per second squared (ft/s²) | Kilometres per second squared (km/s²) |
|---|---|
| 1 ft/s² | 0.0003048 km/s² |
| 2 ft/s² | 0.0006096 km/s² |
| 5 ft/s² | 0.001524 km/s² |
| 10 ft/s² | 0.003048 km/s² |
| 25 ft/s² | 0.00762 km/s² |
| 50 ft/s² | 0.01524 km/s² |
| 100 ft/s² | 0.03048 km/s² |