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Helium Balloon Lift and Quantity Calculator — result sheet
Estimate the lift of one spherical helium balloon and the number needed for a payload after accounting for envelope mass and a visible planning margin.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Balloon volume = 4πr³/3; net supported mass per balloon = volume × (air density − helium density) − envelope mass; required balloons = ceiling(payload × (1 + margin/100) ÷ net supported mass).
The lift estimate starts with the mass of displaced air, subtracts the helium mass and the envelope or hardware mass, then rounds the required count upward. Densities are inputs because temperature, altitude, gas purity, balloon material, and inflation pressure change the result.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Payload mass — kg; minimum 0; maximum 100000
- Balloon diameter — m; minimum 1.0E-6; maximum 1000
- Surrounding air density — kg/m³; minimum 1.0E-6; maximum 100
- Helium density — kg/m³; minimum 1.0E-6; maximum 100
- Envelope and hardware mass per balloon — kg; minimum 0; maximum 1000
- Planning margin — %; minimum 0; maximum 500
- Gravitational acceleration — m/s²; minimum 1.0E-6; maximum 100
Worked example
| Input | Value |
|---|---|
| Payload mass | 1 |
| Balloon diameter | 0.3 |
| Surrounding air density | 1.225 |
| Helium density | 0.1785 |
| Envelope and hardware mass per balloon | 0.003 |
| Planning margin | 20 |
| Gravitational acceleration | 9.80665 |
One balloon supports about 0.01179 kg net in this model; with a 20% planning margin, the estimate is 102 balloons.
Assumptions and limits
- The balloon is approximated as a sphere with the entered diameter.
- Air and helium densities are entered for the same temperature and pressure condition.
- Envelope and hardware mass is counted once for each balloon and does not include the payload.
- The planning margin is applied to payload mass before the balloon count is rounded up.
- The net supported mass must be positive; a negative or zero value cannot lift the entered payload.
- The model does not account for leakage, wind, tether drag, temperature gradients, inflation losses, or clustered-balloon interference.
- A positive arithmetic result is not a rigging, flight, lifting, or public-event safety approval.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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