Earth spins at 1,600 km/h: why planes still reach their destination

Earth rotates at 1,600 km/h and a Boeing flies at 840 km/h: why the plane arrives. The error of confusing absolute and relative velocity.

English · Original discussion in Spanish · Published

Earth spins at 1,600 km/h: why planes still reach their destination
Earth spins at 1,600 km/h: why planes still reach their destination

A Boeing taking off from Madrid to New York does not have to "overcome" the Earth's rotation. When the aircraft is still at the gate, it is already moving with the Earth at about 1,600 km/h relative to a fixed point in space. The engine only adds the difference. The confusion between absolute and relative velocity is the source of a rumor that reappears from time to time: if the Earth spins at 1,600 km/h and a plane flies at 840 km/h, one leaving towards the east would never reach its destination. The reasoning fails in the first line because the atmosphere rotates with the planet, and the plane, the crew, and the passenger's sandwich share that movement before starting the engines.

What the initial premise claims

The starting point is a classic objection to the spherical model: if the Earth rotates at 1,600 km/h, a plane flying west would face an atmosphere moving in the opposite direction and would not arrive. The premise is incorrect. The atmosphere is not an independent layer rubbing against the ground: it is part of the same rotating system. That is why there is no permanent surface wind of 1,600 km/h. If there were, any road travel would be impossible.

The underlying error is treating velocity as an absolute property. Relative to the ground, the plane travels at 840 km/h. Relative to a fixed point in space, it travels at 1,600+840 or 1,600−840 depending on the direction. It makes no difference to the pilot: his reference system is the air surrounding him, which moves with the planet.

The train carriage example that clarifies everything

Inside an AVE speeding at 300 km/h, a passenger walking towards the restaurant car does not have to run at 300 km/h to move forward. He jumps, walks, returns to his seat. The reason is that he, the train, and the air in the carriage share the same velocity before moving. The same applies to a fly inside a car traveling at 100 km/h: it does not crash into the back seat when the vehicle accelerates because it travels with the vehicle.

The analogy repeats in the material: whoever supports the theory of the plane that does not arrive should explain why, when jumping in their kitchen, they do not crash into the wall at 1,600 km/h. Or why, when lying down, they do not wake up in Turkey. The argument is old and has a name: Galilean relativity, the principle of inertia that Galileo already described with the example of the fly in the hold of a ship.

What happens with the atmosphere and real winds

The atmosphere rotates with the Earth because there is nothing to slow it down. If it did not, there would be a surface wind of more than 1,000 km/h, and no building, tree, or person would remain standing. The winds that exist — jet streams, storms, trade winds — are relative movements within that system, not the rotation of the planet.

The calculation circulating in the material is clear: the plane, the atmosphere, the passenger, and the sandwich are already traveling at 1,600 km/h with the Earth before starting the engines. The engine only adds the difference. Relative to the ground, 840 km/h. Relative to space, 1,600+840 or 1,600−840. It makes no difference to the pilot.

Why the rumor returns from time to time

Flat Earth theory has found fertile ground on social media and forums. The theory of the plane that does not arrive is one of its recurring arguments, along with the jump that should leave someone floating or the water that should fall from the glass. They all share the same error: confusing velocity with acceleration, or treating the Earth as an isolated object rather than a rotating system containing everything within it.

The material also includes more or less ironic derivatives: if the Earth is flat, where does it end, in Albacete?; if the atmosphere did not rotate, there would be winds of 1,000 km/h; if the plane does not arrive towards the east, the car would not arrive to work either. The technical answer is always the same: the reference system.

The surprising fact

A London to New York flight takes about five hours. A Madrid to Havana flight takes about ten. The difference has nothing to do with Earth's rotation or the direction of the flight: they are different distances and routes. But the fact serves to remind us that planes arrive, and arrive on time, over a planet that spins at 1,600 km/h. If the rumor were true, no airline in the world would have passengers. And they do.

Summary of a discussion on Burbuja.info - Foro de economía, actualidad y política., translated from Spanish and reviewed before publication. Read the full discussion (151 replies).

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