Convert Kilometres per second squared to Inches per second squared
Convert Kilometres per second squared (km/s²) to Inches per second squared (in/s²) instantly and accurately.
Conversion Formula
in/s² = km/s² × 39370.07874
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.
About Inches per second squared
The inch per second squared (in/s²) equals exactly 0.0254 m/s², used in US customary engineering for machine tool acceleration, CNC linear stages, and vibration testing. Standard gravity is g₀ = 386.089 in/s², a constant embedded in US dynamics software (ANSYS, Nastran) configured with US customary units. High-performance linear motor stages reach 500-2000 in/s². 1 in/s² = 0.0254 m/s² ≈ 2.59 × 10⁻³ g₀.
Quick Reference Table
| Kilometres per second squared (km/s²) | Inches per second squared (in/s²) |
|---|---|
| 1 km/s² | 39370.1 in/s² |
| 2 km/s² | 78740.2 in/s² |
| 5 km/s² | 196850 in/s² |
| 10 km/s² | 393701 in/s² |
| 25 km/s² | 984252 in/s² |
| 50 km/s² | 1968500 in/s² |
| 100 km/s² | 3937010 in/s² |