To calculate how long it would take for an object to travel a certain distance we need to know 2 things:
1: The velocity (speed) of the object, in this case an SR-71 Blackbird traveling at 3,540 kilometers per hour.
2: The distance the object has to travel, in this case the circumference of Earth which is around 40,000 kilometers.
So now that we know that, we put those numbers in a formula to calculate the time needed for the SR-71 to make this insane journey:
(Time = distance ÷ speed ~ distance ÷ speed = Time)
40,000km (distance) ÷ 3,540kmph (speed) = 11.30 hours = 11 hours and 18 minutes.
Theoretically, an SR-71 traveling at its maximum speed of Mach 3.3 (3,540 kilometers per hour/2,200 miles per hour) in a straight line while maintaining the same heading would need about 11 hours and 18 minutes to make a full circle around the world.
However, in the real world, it's more complicated because of things like fuel usage, atmospheric conditions, it's thrust-to-weight ratio increasing every second fuel is burnt and even the shape and size of the earth changing by every passing second.
Also, running 2 Pratt & Whitney J58-1 turbojet/ramjet engines at maximum thrust for almost 12 hours is practically impossible without encountering a fatal malfunction and let's not even talk about what kind of stress and temperatures it's titanium skin will be exposed to at such a long duration high-supersonic flight.
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