How to calculate the force of hot air balloon envelope fabric? and how to select a fabric which can bear this force? For example, a spherality balloon:
- $r=10~m$
- $T_1=100~°C$
- $ρ_1=0.95~kg/m^3$
- $T_2=20~°C$
- $ρ_2=1.25~kg/m^3$
- $m=1000~kg$
Where:
- $r$ is the radii of the balloon, in m
- $T_1$ is the temperature of balloon inside atmosphere, in Celsius
- $ρ_1$ is the density of the balloon inside atmosphere, in kg/m3
- $T_2$ is the temperature of balloon outside atmosphere, in Celsius
- $ρ_2$ is the density of the balloon outside atmosphere, in kg/m3
- $m$ is the total weight of the balloon(including balloon all equipment and persons)