Plate 27 · Space
What Pushes a Rocket
A rocket can speed up in the airless vacuum of space, because it doesn’t fly by pushing on air. It burns its fuel into hot gas and blasts that gas backwards at tremendous speed. The more it throws out, and the faster, the faster what is left of the rocket goes.
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Throw Back, Move Forward
Stand on a skateboard and hurl a basketball backwards, and you roll forwards. A rocket does the same: every second its engines blast tonnes of gas backwards at a few kilometres a second. The gas is pushed back, so the rocket is pushed forward.
This is Newton’s third law: push on something and it pushes back on you just as hard. It works just as well in space, so a rocket needs no air.
Saturn V, schematic · to scale; exhaust simplified
The Rocket Equation
In 1903 the Russian schoolteacher Konstantin Tsiolkovsky worked out how fast a rocket can go. It depends on two things: how fast the gas comes out, and how much of the rocket is fuel.
The catch is that more fuel makes the rocket heavier, with more to push. Extra fuel buys speed only slowly: compare a rocket that is half fuel with one that is nine-tenths fuel. The second carries nine times as much fuel for every kilogram of rocket, yet goes only a little more than three times as fast.
Dropping It in Stages
The answer is staging. Build the rocket in sections, and when one runs out of fuel, drop its empty tanks and engines. What is left is much lighter, so the next stage can go much faster.
Saturn V, which took the Apollo astronauts to the Moon, had three stages and weighed nearly 3 million kilograms at launch. Together, ideally, they could add about 12 kilometres a second. Built as one big stage, the same fuel would give only about 8 — not enough to reach orbit.
Saturn V stage masses: NASA
How Fast Is Fast Enough
To circle the Earth you need about 7.8 kilometres a second. A rocket also has to fight gravity and air on the way up, so in practice it needs about 9.5.
That is why a rocket starts to lean soon after lift-off, climbing and speeding up at the same time, flatter and flatter, until it is speeding along almost parallel to the horizon.
Your Turn
Set how fast the gas comes out and how much of the rocket is fuel, and see how fast it can end up going. Then compare one big stage with three.
Try thisSwitch off “Three stages”: how fast must the exhaust be to reach orbit in one?
What the model leaves out
The rocket equation gives the ideal speed, leaving out what is lost to gravity and air. Saturn V’s stage masses are rounded; its third stage didn’t use all its fuel to reach orbit, and kept the rest to push the spacecraft towards the Moon. The rocket’s climb in the picture is greatly sped up.
A common misreading
A rocket isn’t lifted by its flame “pushing on the ground” or “pushing on the air.” In a vacuum a rocket actually works better, with no outside air pressing back on its nozzle. What drives it is the matter it throws backwards, fast.
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