Convert Mach 1 to Earth Escape Velocity

Convert Mach 1 (Ma) to Earth Escape Velocity (v_esc) instantly and accurately.

Mach 1 (Ma)
Earth Escape Velocity (v_esc)

Conversion Formula

v_esc = Ma × 0.03042106204

About Mach 1

Mach 1 = the speed of sound in dry air at ISA sea-level (15°C, 101.325 kPa) = exactly 340.29 m/s (1,225 km/h; 761 mph). Chuck Yeager first exceeded it on 14 October 1947 in the Bell X-1. At 35,000 ft cruise altitude (−56.5°C), it falls to 295.1 m/s. Flight regimes: subsonic Mach 5. Concorde cruised at Mach 2.02; SR-71 at Mach 3.2. 1 Mach 1 = 340.29 m/s.

About Earth Escape Velocity

Earth's escape velocity = 11,186 m/s at the surface - v_esc = √(2GM/r). A spacecraft launched at this speed (any direction) escapes on a parabolic trajectory; less gives an elliptical orbit. Apollo's trans-lunar injection exceeded this to reach the Moon. Voyager, Pioneer, and New Horizons all exceeded 11.2 km/s at launch. Moon escape velocity 2.38 km/s; Mars 5.03 km/s; Jupiter 59.5 km/s. 1 Earth v_esc ≈ 11,186 m/s = 40,270 km/h.

Quick Reference Table

Mach 1 (Ma)Earth Escape Velocity (v_esc)
1 Ma0.0304211 v_esc
2 Ma0.0608421 v_esc
5 Ma0.152105 v_esc
10 Ma0.304211 v_esc
25 Ma0.760527 v_esc
50 Ma1.52105 v_esc
100 Ma3.04211 v_esc

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