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Thrust-to-weight ratio calculator

Calculate thrust-to-weight ratio, required thrust, supported mass or local gravity, and compare two vehicles under the same gravity.

Calculator

Vehicle 1 thrust-to-weight ratio
1.01971621
Vehicle 1 thrust
100,000
Vehicle 1 mass
10,000
Local gravity
9.80665
Vehicle 1 weight
98,066.5
Ideal vertical acceleration after gravity
0.19335
Interpretation
Ideal aligned vertical thrust, ignoring drag. Use full vehicle mass for vehicle performance; engine-only mass gives an engine-only comparison.

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How this calculator works

Weight is a force equal to mass times local gravity. Dividing total thrust by that force gives a dimensionless ratio. For a vertical vehicle with aligned thrust and no drag, a ratio greater than one permits upward acceleration. Comparison mode uses the same local gravity for both vehicles. Supply thrust and mass for the conditions you want to compare; fuel loading, altitude and throttle change published values.

Formula

TWR = F/(mg). F = TWR mg; m = F/(TWR g); g = F/(TWR m). Ideal vertical acceleration = F/m-g.

Worked example

At g = 10 m/s2, a 10 kg vehicle weighs 100 N. Thrust of 100 N gives TWR = 1. A required ratio of 2 with thrust 300 N corresponds to mass 15 kg.

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Frequently asked questions

Is mass in kilograms the same as weight?

No. Kilograms measure mass; weight here is in newtons.

Does a ratio above one guarantee flight?

No. Stability, thrust direction, drag, structural limits and control also matter.

Can I compare an engine and a complete aircraft?

You can compute both ratios, but they describe different mass boundaries and should be labelled accordingly.

Sources

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