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- Lift force calculation
- Temperature calculation
Calculation of the lifting force of a hot air balloon
While calculating always use the flight manual for your baloon. Never exceed your maximum take-off weight!
These calculations ignore technical condition of the envelope, air humidity, its change with height, cylinders mass change caused by gas consumption, surface temperature inversions. Calculations are only relevant within the troposphere.
We recommend using this calculator for information purposes only!
If you have any ideas or suggestions for improvement you can submit it here.
These calculations ignore technical condition of the envelope, air humidity, its change with height, cylinders mass change caused by gas consumption, surface temperature inversions. Calculations are only relevant within the troposphere.
We recommend using this calculator for information purposes only!
If you have any ideas or suggestions for improvement you can submit it here.
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The lifting force of a thermal balloon is calculated by the formula:
Where
The dependence of pressure on altitude is calculated by the barometric formula:
Where and
A decrease in temperature by 6.5° is taken into account for every 1000 m of rise.
Fa = V * P * g/R' * (1/To - 1/Ti)
Where
Fa – lifting force of a hot air balloon [N];
V – is the volume of the envelope of the hot air balloon [m3];
P – is for ambient pressure [Pa];
g – free fall acceleration (9.807 m/s2);
R' – gas constant of air (for dry air it is equal to 287 J/(kg*K));
To and Ti – respectively stand for the temperature of the outside or ambient air and the temperature inside the enclosure [K].
The dependence of pressure on altitude is calculated by the barometric formula:
Ph = P0 * exp(-(M * g)/(R * T0) * h)
Where and
Ph – pressure at altitude h [Pa];
P0 – pressure at the height of the starting point [Pa];
M – molar mass of air (0.02896 kg*mol);
g – free fall acceleration (9.807 m/s2);
R – universal gas constant (8.3143(H*m)/(mol*K));
T0 – temperature at the height of the starting point [K];
h – height above launch point [m].
A decrease in temperature by 6.5° is taken into account for every 1000 m of rise.