A spherical balloon with a radius of 10m is filled with air. The surrounding air is -10 °C. The balloon is attached with some load and tethered to the ground with tension, T at an angle of 60 degree. The total mass and load of the balloon us 10k kg. The density of air at given conditions: -10 °C = 1.341 kg/m3 100 °C = 0.9458 kg/m3 a) What is the tension, T for tethering the hot air balloon if the air is heated up until 100 °c ? b) Are there any ways to carry more loads by the balloon ? Explain briefly.

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A spherical balloon with a radius of 10m is filled with air. The surrounding air is -10 °C. The
balloon is attached with some load and tethered to the ground with tension, T at an angle of 60
degree. The total mass and load of the balloon us 10k kg. The density of air at given conditions:
-10 °C = 1.341 kg/m3
100 °C = 0.9458 kg/m3
a) What is the tension, T for tethering the hot air balloon if the air is heated up until 100 °C ?
b) Are there any ways to carry more loads by the balloon ? Explain briefly.
Transcribed Image Text:A spherical balloon with a radius of 10m is filled with air. The surrounding air is -10 °C. The balloon is attached with some load and tethered to the ground with tension, T at an angle of 60 degree. The total mass and load of the balloon us 10k kg. The density of air at given conditions: -10 °C = 1.341 kg/m3 100 °C = 0.9458 kg/m3 a) What is the tension, T for tethering the hot air balloon if the air is heated up until 100 °C ? b) Are there any ways to carry more loads by the balloon ? Explain briefly.
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