The air density at temperature 100 o c is 0946 kgm 3 000184 slugsft 3 and the air density at temperature 20 o c is 1205 kgm 3 000234 slugsft 3. The bigger a hot air balloon is and the hotter the air inside the envelope is the more weight it can lift. A hot air balloon with volume 10 m 3 353 ft 3 is heated to 100 o c 212 o f. The temperature of the surrounding air is 20 o c 68 o f. Hot air balloons operate through the basic principles of gravity and heat transfer. Since we only carry an average of 8 passengers per balloon compared to a commercial jet airliner carrying a couple of hundred passengers per flight it makes it more difficult.

Example lifting force created by a hot air balloon. Because hot air is the lifting force in a hot air balloon more hot air and hotter air creates more lift. Suspended beneath is a gondola or wicker basket in some long distance or high altitude balloons a capsule which carries passengers and a source of heat in most cases an open flame caused by burning liquid propanethe heated air inside the envelope makes it buoyant since it. Hot air balloons and other aircraft carrying commercial passengers are certified and registered with the federal aviation administration faa with weight limitations. As the air inside the envelope cools or is vented it descends. The height or altitude of a hot air balloon is controlled by turning the burner up or down as needed unlike a gas balloon where ballast weights are often carried so that they can be dropped if the balloon gets too low and in order to land some lifting gas must be vented through a valve.

On average a hot air balloon that is 65000 cubic square feet can lift 1000 lbs. A express the angle θ as a function of the height h of the balloon. As air inside the balloon is heated past the ambient temperature of its surroundings it gains altitude. On average hot air balloons fly between 1000 and 3000 feet in the air. A hot air balloon is a lighter than air aircraft consisting of a bag called an envelope which contains heated air. If youve ever wondered why hot air balloons are so big you know now.

Hot air balloons are definitely meant for leisure but can be transformed into amazing record breaking devices. The average hot air balloon is 80 feet tall 50 feet in diameter at the widest point equator weights 600 pounds has an air capabity of 77000 cubic feet or approximately 77000 basketballs. Pilots use wind layers at different altitudes to move the balloon from one direction to another. Below well discuss how balloons fly as high as they do why there are limits and how those limits have been surpassed. Mathematics for calculus standalone book height of a balloon a 680 ft rope anchors a hot air balloon as shown in the figure. B find the angle θ if the balloon is 500 ft high.

And if you want to know more cool stuff about hot air balloons keep reading below.

Gallery of Hot Air Balloon Height Weight