Comments by "H. de Jong" (@h.dejong2531) on "Big Think" channel.

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  154. Let's look at one of those manuals you claim state the Earth is flat. "In this summary, we want to describe the flight dynamics with equations. This is, however, very difficult. To simplify it a bit, we have to make some simplifying assumptions. We assume that . . . • There is a flat Earth. (The Earth’s curvature is zero.) • There is a non-rotating Earth. (No Coriolis accelerations and such are present.) • The aircraft has constant mass. • The aircraft is a rigid body. • The aircraft is symmetric. • There are no rotating masses, like turbines. (Gyroscopic effects can be ignored.) • There is constant wind. (So we ignore turbulence and gusts.)" The document tells you why this assumption is made: to simplify the math involved. This introduces inaccuracies, and the text describes some of them. For the purposes of this document, it's close enough to be usable. For other purposes, ignoring these inaccuracies will cause you to crash. Let's look at some of those inaccuracies in more detail: There is a flat Earth. - this allows you to model a flight path as a straight line, instead of a curved path. It removes variables from the math. The aircraft has constant mass. - again, simplifying the math by removing a variable. This is unrealistic, because every aircraft with an engine has a mass that changes during the flight as fuel is used up. The aircraft is a rigid body. - again, simplifying the math by removing variables. Real aircraft aren't rigid. The control surfaces move, and the entire wing flexes in flight. There's a whole category of accidents that happen due to unwanted movement of the wing ('flutter' - rapid oscillations of part of the wing that can cause parts of the wing to break off). There are no rotating masses: again, this implies that the aircraft has no engines. This approach is common in physics. A realistic model is very complicated, and that complication can get in the way of teaching how things work. So we model one variable at a time. In high-school physics, for instance, we study how objects move by ignoring variables like wind resistance and friction. We model collisions as "perfectly elastic" or "perfectly inelastic" when all real-world collisions are in between those two extremes.
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  200. Experiments that support Earth's curvature and rotation: 1. The ancient Greeks were able to work out that Earth cannot be flat, by observing the horizon. Ships moving away disappear over the horizon and are progressively hidden from the bottom up. When you look at the same ship from two places, one at sea level, the other on top of a tower or cliff, the person at sea level will see the ship disappear first. This can only happen if there is a physical obstacle between the observer and the ship. The only explanation that works is that Earth is a sphere. 2. They observed the shape of Earth's shadow during an eclipse: it's a circle segment. This happens for all lunar eclipses, no matter which part of Earth is in daylight. The only shape that produces a circular shadow in any orientation is a sphere. 3. In 250 BC, Eratosthenes calculated the diameter of Earth, by measuring the elevation of the sun at noon in two cities a known distance apart. His value is within 2% of the currently known value. 4. When more accurate instruments became available for measuring elevation angles, we started using them for navigation, We found that those elevation angles accurately predicted where on Earth you are (latitude). This only works on a sphere. 5. Photos from high altitude show Earth's curvature. 6. Our weight varies with latitude, which indicates our planet rotates.  7. A pendulum precesses, which again indicates our planet rotates. 8. Anyone can verify that the horizon is curved. 9. We can measure the curvature directly using a geodetic survey. 10. Spherical excess: when we measure a triangle on Earth's surface, the sum of the angles is greater than 180º, which shows the triangle is not on a flat plane but on a spherical surface.
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  406. ​ @DT2PZ0  It's not a silly statement, it's a true statement. We don't need photos to prove Earth is a sphere. A few examples: 1. The ancient Greeks were able to work out that Earth cannot be flat, just from naked-eye observations. They did this by observing the horizon. Ships moving away disappear over the horizon. When you look at the same ship from two places, one at sea level, the other on top of a tower or cliff, the person at sea level will see the ship disappear first. This can only happen if there is a physical obstacle between the observer and the ship. The only explanation that works is that Earth is a sphere. 2. They observed the shape of Earth's shadow during an eclipse: it's a circle segment. This happens for all lunar eclipses, no matter which part of Earth is in daylight. The only shape that produces a circular shadow in any orientation is a sphere. 3. In 250 BC, Eratosthenes calculated the diameter of Earth, by measuring the elevation of the sun at noon in two cities a known distance apart. His value is within 2% of the currently known value. 4. When more accurate instruments became available for measuring elevation angles, we started using them for navigation, We found that those elevation angles accurately predicted where on Earth you are (latitude). This only works on a sphere. 5. For the past 400 years, we have been able to measure the curvature directly using a geodetic survey. 6. We can circumnavigate the planet in any direction: we can fly in a straight line and end up where we started. This is only possible on a sphere. 7. We can look at the planets, e.g. Jupiter: with a decent telescope you can see that they are rotating spheres. 8. Spherical excess: when we measure a triangle on Earth's surface, the sum of the angles is greater than 180º, which shows the triangle is not on a flat plane.
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  454.  @JFK-ir7yz  You are confusing two issues, two reasons for a ship to disappear from view. reason 1. the ship is too small to be visible to the naked eye. At a distance of 5 km (the distance to the horizon at sea level), a small boat is just a smudge. In ideal conditions, the human eye can resolve details as small as 1.5 meters at that distance, but conditions looking over the sea are not idea. You have a moving target, and the atmosphere just above the water is seldom clear. Zooming in will improve the image by increasing the resolution. Videos that claim to zoom in and reveal a ship, are looking at small boats that have not gone over the horizon yet. In the zoomed-in view, this is easy to identify: you can see water behind the ship. 2. the ship is hidden by the horizon. Once a ship has gone over the horizon, it is progressively hidden from the bottom up by the horizon. In effect, there is a hill of water between you and the ship. Zooming in does not remove this hill, it just makes the part of the ship that is still above the horizon easier to see. This is a good test: watch a large ship go over the horizon. The larger, the better. And you need a ship with a large superstructure: not a tanker, but a ferry or a container ship. Wait until it goes over the horizon, wait until the hull has completely disappeared , but the superstructure remains visible. Then zoom in as much as you like. You will notice that your view of the superstructure improves, but the hull does not come back into view.
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