Calculate Uplift

Calculator for the uplift of a helium-filled balloon or other things lighter than air. The mass is the total mass of the device which should take off. Air density at normal conditions is about 1.2 kilograms per cubic meter. If helium is used as a lifting gas, then this has at equal conditions a density of 0.18 kilograms per cubic meter.

The calculation is done assuming that the volume of the weight is negligible compared to the volume of the balloon.

As a result, you'll get the volume, where the device is as heavy as air. To lift off, it must be larger. The balloon diameter is the minimum diameter of the spherical balloon.

Mass: kg
Air density: kg/m³
Lifting gas density: kg/m³
Balloon diameter: m

Round to decimal places.

The formulas are:

volume = mass / ( air density - lifting gas density )

balloon diameter = 2 * ³√ 3/4 * volume / π

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