Clarifying questions:
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Planes can be commercial or military. Assuming, in this case, we are referring to commercial passenger flights.
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We are referring to planes flying over the US area only.
Equation:
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The number of planes in the air per hour = # of planes taking off per hour from airports across the US
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# of planes taking off per hour from airports across the US = Sum of # of planes taking off split by large, mid, and small airports.
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Planes taking off an airport = # of runways x (average planes taking off per hour)
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Number of airports in the US: Large, Medium, Small
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The US has 50 states. It is reasonable to assume there are 2 large/major international airports per state, 15 medium-sized airports, and 10 small airports.
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Large airports have 2 runways, medium have 1 runway, small also have 1 runway
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The average gap between flight take offs in:
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a large airport is 5 min during, in medium 10 mins, and 30 mins in smaller
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# of planes in 1 hour at:
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Large Aiport = (2 runway x (60 mins/5 min) → 24 planes/hour
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Medium = (1 runway x(60 mins/10)) → 6 planes /hours
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Small = (1 runway x (60 mins/30) → 2 planes/hour
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Number of airports
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50 x 2 large airports → 100 large
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50 x 15 medium → 750 medium
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50 x 10 small → 500 small
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The number of planes taking off per hour:
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Large - (100 x 24) + Medium (750x6) + Small (500x2)
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~7000 planes taking off per hour and will be in the air per hour
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Is my breakdown reasonable?