Hot Air Balloon Lift Calc 4+

Hot Air Balloon Lift Calculator is a physics/math calculator designed to find Balloon Volume, Surface Pressure, Flight Altitude, Ambient Temperature, Envelope Temperature, or Lift Force quickly and easily.

Features:
- Instant calculation
- Results are copyable to other apps
- Formulas are included as a reference
- Support up to 16 decimal places
- Support various units for each input

The lift generated by a balloon varies with the temperature differential, which is the difference in temperature inside the balloon compared to that of the surrounding air mass and the air pressure. The buoyant force pushes upwards on the heated air inside the envelope. The components of a hot air balloon, such as the envelope, burner, fuel tanks, gondola, and passengers, must weigh less than the lift force for the buoyant force to completely lift the hot air balloon off the ground.

The lifting force from a hot air balloon depends on the density difference between the balloon air and surrounding air, as well as the balloon volume.

Formula:
L = Palt * V / Rs * ( 1 / Tamb - 1 / Tenv )

Where:
L - is the balloon payload lift
Rs - is the specific gas constant (for dry air: 287.058) (J*kg⁻¹*K⁻¹)
Palt - is the atmospheric pressure at the operating altitude
V - is the envelope volume
Tamb - is the ambient temperature
Tenv - is the envelope temperature

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