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Why can't all planes fly straight up?
(lemmy.ca)
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There's nothing wrong with your reasoning, it just doesn't account for all of the factors involved. There is a big difference in efficiency between using the forward movement of a wing to provide lift and using direct propulsion pointed downward. There are a few planes that have a greater than 1:1 thrust to weight ratio (the F-15 being the most famous), but it is rare. Fixed wing aircraft and helicopters are all able to fly with less power because what they have is being used more efficiently.