Question

Problem 5 (Buoyancy): The balloon in the figure has a diameter of 10m and is filled with helium and pressurized to 135 kPa at 20°C. The balloon material has a mass of 85 g/m² (thickness is negligible). It is secured to the ground by a mooring line. The surrounding air has a pressure of 100 kPa at 20°C. a) Determine the tension force on the mooring line b) What would the balloon material mass in kg/m² need to be to exert no tension force on the mooring line? Assume the balloon shape is a sphere. [Surface area of a sphere = $4\pi r^2$] [Volume of a sphere = $\frac{4}{3}\pi r^3$] [$R_{He} = 2077 \frac{m^2}{s^2 K}$ ; $R_{air} = 287 \frac{m^2}{s^2 K}$]

          Problem 5 (Buoyancy): The balloon in the figure has a diameter of 10m and is filled with helium and
pressurized to 135 kPa at 20°C. The balloon material has a mass of 85 g/m² (thickness is negligible). It
is secured to the ground by a mooring line. The surrounding air has a pressure of 100 kPa at 20°C.
a) Determine the tension force on the mooring line
b) What would the balloon material mass in kg/m² need to be to exert no tension force on the mooring
line?
Assume the balloon shape is a sphere.
[Surface area of a sphere = $4\pi r^2$] [Volume of a sphere = $\frac{4}{3}\pi r^3$]
[$R_{He} = 2077 \frac{m^2}{s^2 K}$ ; $R_{air} = 287 \frac{m^2}{s^2 K}$]

Problem 5 (Buoyancy): The balloon in the figure has a diameter of 10m and is filled with helium and
pressurized to 135 kPa at 20°C. The balloon material has a mass of 85 g/m² (thickness is negligible). It
is secured to the ground by a mooring line. The surrounding air has a pressure of 100 kPa at 20°C.
a) Determine the tension force on the mooring line
b) What would the balloon material mass in kg/m² need to be to exert no tension force on the mooring
line?
Assume the balloon shape is a sphere.
[Surface area of a sphere = 4π r^2] [Volume of a sphere = (4)/(3)π r^3]
[RHe = 2077 (m^2)/(s^2 K) ; Rair = 287 (m^2)/(s^2 K)]

Added by Courtney B.

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