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The fifth-grade Olympic challenge that business adults cannot solve
How can the movement of air masses affect Moscow-Vladivostok flight time? Obviously, if the wind is mainly headwind, then the time on the road will increase. And if the passing, it will decrease. Now, keeping this in mind, let's try to solve the asterisk problem for the fifth grade.
Let’s say you need to fly twice to work from Moscow to Vladivostok and back. In the first case, you will fly in complete calm. In the second, when flying round-trip, the wind of the same strength, for example, the western one, will constantly blow. How will the total flight time change in the second case: will it decrease, increase or remain the same as in the first trip?
It is interesting that the flight Moscow-Vladivostok has become the subject of our discussion for the first time. It was about him that was discussed in an article with a sensational question from Facebook about the rotation of the Earth. At that time, we found out why the movement of the planet will not prevent us from flying to Vladivostok. Today we will understand how the hypothetical flight will affect the constant wind.
At first glance, everything is simple: time should not change. Indeed, when flying there, the plane will accelerate slightly and overcome the path a little faster, and back again will slow down in the same way. At the same time, the total flight time, in theory, should remain the same. But don't jump to conclusions! The beauty of mathematics is that sometimes it completely breaks the ideal ideas of the humanities about life.
So, to simplify the task, take the speed of the aircraft at 800 kilometers per hour, and the distance is rounded to 6400 kilometers. This means that in windless weather, the plane will fly from Moscow to Vladivostok for 8 hours and the same amount back, which will total 16 hours.
Now add the wind. And this is where amazing incidents become possible. The wind speed is equal to the speed of an airplane. Then the aircraft will fly to Vladivostok at twice the speed, and back at a speed equal to ... zero! The flight time, it is scary to say, will be endless.
A picky reader will say that the wind speed of 800 km / h is possible only in the atmosphere of Jupiter. He'll be right. Okay, let's make it more real. For example, 100 km/h. Then, with a tailwind, the aircraft will travel the distance in 7 hours and 7 minutes.
6400 / (800 + 100) = 7.11 hours
The journey back will take a little longer: 9 hours and 8 minutes.
6400 / (800 - 100) = 9.14 hours
The total round trip time will be 16.25 hours, or 16 hours and 15 minutes.
If the aircraft is flying on a closed route, then wherever the wind blows, the total flight time will always increase. And the stronger the wind, the greater. For example, with a wind of 300 km / h, the total flight time will be more than 18 hours.
"Why is this happening?" you ask. Because math! Well, seriously, then with a tailwind to fly faster, so the wind always helps the flight less of the time, and interferes with more. It follows that with the wind to fly in any case will have longer than in its absence.
By the way, to be absolutely accurate, the flight time along the same route can change not only the wind. Important are the air corridors, the waiting time on approach to the airport and the Coriolis force, deflecting the flow of air in the northern hemisphere to the east.
Let’s say you need to fly twice to work from Moscow to Vladivostok and back. In the first case, you will fly in complete calm. In the second, when flying round-trip, the wind of the same strength, for example, the western one, will constantly blow. How will the total flight time change in the second case: will it decrease, increase or remain the same as in the first trip?
It is interesting that the flight Moscow-Vladivostok has become the subject of our discussion for the first time. It was about him that was discussed in an article with a sensational question from Facebook about the rotation of the Earth. At that time, we found out why the movement of the planet will not prevent us from flying to Vladivostok. Today we will understand how the hypothetical flight will affect the constant wind.
At first glance, everything is simple: time should not change. Indeed, when flying there, the plane will accelerate slightly and overcome the path a little faster, and back again will slow down in the same way. At the same time, the total flight time, in theory, should remain the same. But don't jump to conclusions! The beauty of mathematics is that sometimes it completely breaks the ideal ideas of the humanities about life.
So, to simplify the task, take the speed of the aircraft at 800 kilometers per hour, and the distance is rounded to 6400 kilometers. This means that in windless weather, the plane will fly from Moscow to Vladivostok for 8 hours and the same amount back, which will total 16 hours.
Now add the wind. And this is where amazing incidents become possible. The wind speed is equal to the speed of an airplane. Then the aircraft will fly to Vladivostok at twice the speed, and back at a speed equal to ... zero! The flight time, it is scary to say, will be endless.
A picky reader will say that the wind speed of 800 km / h is possible only in the atmosphere of Jupiter. He'll be right. Okay, let's make it more real. For example, 100 km/h. Then, with a tailwind, the aircraft will travel the distance in 7 hours and 7 minutes.
6400 / (800 + 100) = 7.11 hours
The journey back will take a little longer: 9 hours and 8 minutes.
6400 / (800 - 100) = 9.14 hours
The total round trip time will be 16.25 hours, or 16 hours and 15 minutes.
If the aircraft is flying on a closed route, then wherever the wind blows, the total flight time will always increase. And the stronger the wind, the greater. For example, with a wind of 300 km / h, the total flight time will be more than 18 hours.
"Why is this happening?" you ask. Because math! Well, seriously, then with a tailwind to fly faster, so the wind always helps the flight less of the time, and interferes with more. It follows that with the wind to fly in any case will have longer than in its absence.
By the way, to be absolutely accurate, the flight time along the same route can change not only the wind. Important are the air corridors, the waiting time on approach to the airport and the Coriolis force, deflecting the flow of air in the northern hemisphere to the east.
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