What is the formula for escape velocity?
GeneralClass 12AllAnswered 27 Mar 2026
Answer
Escape velocity is calculated using:
v_escape = √(2GM/r)
where G is the gravitational constant (6.674 × 10⁻¹¹ N·m²/kg²), M is the mass of the planet, and r is the distance from the center of the planet.
For Earth specifically:
- Escape velocity ≈ 11.2 km/s or about 40,270 km/h
- This is the minimum speed needed to break free from Earth's gravity
- Direction doesn't matter—it's the same in all directions
Simplified Earth formula: v = √(2gr) where g = 9.8 m/s² and r = 6.37 × 10⁶ m (Earth's radius).
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