Mach (20°C, 1 atm) to Earth's Velocity

Mach number is the ratio of an object's speed to the speed of sound in the surrounding medium. Mach 1 at 20°C, 1 atm equals approximately 343.6 m/s (1,235 km/h).

Mach = velocity ÷ speed_of_sound. At 20°C: Mach 1 = 343.6 m/s. Speed of sound = √(γRT/M) where γ = heat capacity ratio.

To m/s (at 20°C): × 343.6. To km/h (at 20°C): × 1,237. Note: changes with altitude and temperature.

Fighter jets (Mach 1.5–2.5), commercial aircraft (Mach 0.8–0.85), space shuttle reentry (Mach 25), and missile speeds.

Concorde: Mach 2.04. SR-71 Blackbird: Mach 3.3. X-15: Mach 6.7. Meteorites enter at Mach 50+. Subsonic <1, supersonic >1, hypersonic >5.

Thinking Mach is constant — it varies with temperature/altitude. At 30,000 ft, Mach 1 ≈ 295 m/s (colder air = slower sound).

Mach 1 = speed of sound. Below Mach 1 = subsonic. Mach 1–5 = supersonic. Above Mach 5 = hypersonic. It's a ratio, not a fixed speed.

Earth's orbital velocity around the Sun is approximately 29,765 m/s (29.8 km/s), the speed at which our planet travels through space.

v = 2πr/T where r is Earth's orbital radius (~150 million km) and T is one year. Result: ~29.8 km/s.

To km/h: × 3,600. To mph: × 66,600. 29.8 km/s = 107,280 km/h = 66,660 mph.

Interplanetary mission Δv calculations, understanding Earth's motion, and cosmic velocity references.

We're all traveling at ~30 km/s around the Sun right now. In one second, Earth moves 30 km — about 19 miles!

Forgetting about Earth's motion when calculating interplanetary trajectories — it provides free velocity!

~30 km/s around the Sun. We travel 940 million km per year at this speed. Missions to other planets add/subtract from this.