Analysis of the fall in the film

Andre 2022-04-22 07:01:05

The film proposes a very creative way of traveling, the fall, which is similar to the "Earth Center Train" in Liu Cixin's "Earth Cannon". Apart from the plot of the film, many otakus have different opinions on the fall in the film. This kind of spit, let's just analyze the fall in the film, apart from the plot.
We know from the basic physics in high school that from opening a strictly straight tunnel between any two points on the earth's surface, ignoring the influence of other forces, and simply relying on gravity to move, the time required to pass through this tunnel is 42 minutes. 12 seconds, so if the setting in the photo is 17 minutes, other acceleration means must be required in the tunnel. From the maglev technology shown in the film, we can make such an assumption:
the cabin of the fall is made of permanent magnets, and the pipes are made of permanent magnets. Superconducting coils are laid on the outside. The first half of the cabin is accelerated by the Lorentz force, and the electrical energy is converted into kinetic energy through the action of the Lorentz force; Shuttle use.
First of all, let's calculate the orbit length. The whole of the UK and Australia are in different longitudes, to be precise, they are all within the range of east longitude, so the most economical orbit must not be passing through the center of the earth. At the same time, due to the influence of the earth's rotation, the orbit should be arc-shaped (this is also a very good detail in the film). The arc-shaped trajectory is related to the running speed of the train, which can be calculated by a double integral, but for convenience, Let's assume the orbit is straight. In order to facilitate the calculation, we select two coordinates located in the UK and Australia respectively, which are 0 degrees east longitude and 50 degrees north latitude and 120 degrees east longitude and 15 degrees south latitude. Through a simple geometric calculation, we can get the distance between these two points. The distance is 11011 kilometers or 11011000 meters. First of all, we assume that each half-way acceleration or deceleration takes the same time (this can be achieved completely by controlling the electromagnetic coil), both of which are 8 minutes (there is about a minute in the middle for a uniform weightlessness state ), if you want to complete the journey in 17 minutes, the average acceleration of the first half and the second half should reach 42m/s^2. After eight minutes, the speed will reach a top speed of 20.16km/s. If we ignore the electromagnetic force and simply consider the gravitational effect, when the gravitational force loses the acceleration effect (that is, reaches the center of the earth), through an integral calculation, we can know that the speed at this time is about 8km/s. Comparing the two extreme speeds, where There is a gap of 12.16km/s. This part of the speed gap is compensated by electromagnetic force. If the cabin is accelerated uniformly for eight minutes, the electromagnetic acceleration of the cabin is about 25.3/m^2, which is about 2.5G, and the deceleration process is also can be analyzed in the same way. The acceleration that people can comfortably endure is about 3G, ordinary people can bear the limit acceleration of about 6-8G, and trained people such as astronauts can even bear the acceleration of more than 10G. In case of instantaneous overload, the human body can withstand higher. . The instantaneous acceleration of fighter jets can reach 10G, so people in the fall cabin can enjoy a fast and painless journey to the center of the earth, and if they deliver cargo, the fall can even reach higher speeds.
The gravitational reversal when approaching the earth's center in the film is actually the reversal of the electromagnetic acceleration force. Humans cannot induce electromagnetic induction, so acceleration and deceleration are achieved through the pressure of the bulkhead. From a human's subjective perspective, it is indeed like It is the reversal of gravity. In the whole process of travel, the human head should theoretically be facing the center of the earth. In the end, the part of the protagonist who climbed out of the cabin is contrary to physics, so let's just assume it's the protagonist's imagination.
Regarding the problem of air resistance, the most economical way is to evacuate the pipeline, which can not only isolate the heat from the high temperature of the earth's core to the pipeline, but also reduce the resistance, but it can also make the air flow, if the air velocity is similar to the speed of the cabin. , the resistance is also very small.
In the end, the sci-fi imagination of the film left me the deepest impression on the description of the details, the curved pipes, and the details of the shooting in the cabin, all of which I remember deeply!

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Total Recall quotes

  • Doug Quaid: If I'm not me, then who the hell am I?

    Lori Quaid: How would I know? I just work here.

    Doug Quaid: Speculate.

    Lori Quaid: If I had to guess, all the trouble Cohaagen's taken to hide you from the Resistance, you must be fairly important. And with your skill set, I think it's highly doubtful you're his gardener.

    Doug Quaid: Cohaa... Cohaagen's trying to hide me? Why are you trying to kill me? Talk!

    Lori Quaid: Call it the seven-year-itch, Doug. Oh. And by the way, you haven't even *begun* to see me try to kill you!

  • Three-Breasted Woman: Trust me, baby, you're gonna wish you had three hands.