Physics

Delta V Calculator

Find a rocket's change in velocity from the Tsiolkovsky equation.

Exhaust velocity

Initial mass (wet)

Final mass (dry)

Calculated Output

Delta-v 2,748.87

Formula: Δv = v_e · ln(m₀ ÷ m_f)

Step-by-Step Breakdown

1. Values used:

2. Exhaust velocity = 3,000

3. Initial mass (wet) = 5,000

4. Final mass (dry) = 2,000

6. Delta-v = 2,748.87

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The math behind it

The Tsiolkovsky rocket equation: Δv = v_e · ln(m₀/m_f). More propellant or faster exhaust gives more Δv.

v_e = 3000 m/s, 5000 → 2000 kg → about 2749 m/s.

Why the logarithm?

Each bit of fuel must also accelerate the remaining fuel, giving diminishing returns.