Question

Самолёт находится на высоте 5000 метров. Обнаружилась неисправность работы двигателя. Самолёт начал падать. Бортовой компьютер производит диагностику неисправности и сообщает пилоту о необходимых действиях. Для решения этой задачи ему нужно выполнить 108 вычислительных операций. Быстродействие компьютера – 1 млн. операций в секунду. Успеет ли лётчик спасти самолёт, если минимальная высота, на которой самолёт можно вывести из пике – 2000 метров?Заранее спасибо большое!!!

Answer 1

Все решение в рисунке

Answer 2

Problem Statement

A plane is flying at an altitude of 5000 meters when an engine malfunction occurs. The plane starts to descend, and the onboard computer performs a diagnostic check to determine the necessary actions. The computer needs to perform 108 calculations to solve the problem, and its processing speed is 1 million operations per second. The question is whether the pilot will be able to save the plane if the minimum altitude to recover from a dive is 2000 meters.

Solution

To determine if the pilot will be able to save the plane, we need to calculate the time it takes for the onboard computer to perform the necessary calculations and compare it to the time it takes for the plane to reach the minimum recovery altitude.

The time it takes for the computer to perform the calculations can be calculated using the formula:

Time = Number of calculations / Processing speed

Substituting the given values:

Time = 108 calculations / 1 million operations per second

Calculating the time:

Time = 108 / 1,000,000 seconds

Simplifying:

Time = 0.000108 seconds

Now, we need to calculate the time it takes for the plane to reach the minimum recovery altitude. Since the plane is descending, we can assume a constant descent rate. Let's assume the descent rate is D meters per second.

The time it takes for the plane to descend from 5000 meters to 2000 meters can be calculated using the formula:

Time = (Initial altitude - Final altitude) / Descent rate

Substituting the given values:

Time = (5000 meters - 2000 meters) / D meters per second

Simplifying:

Time = 3000 meters / D meters per second

To determine if the pilot will be able to save the plane, we need to compare the time it takes for the computer to perform the calculations (0.000108 seconds) with the time it takes for the plane to reach the minimum recovery altitude (3000 meters / D meters per second).

If the time it takes for the computer to perform the calculations is less than the time it takes for the plane to reach the minimum recovery altitude, then the pilot will be able to save the plane.

Let's assume a descent rate of 10 meters per second for the plane. We can calculate the time it takes for the plane to reach the minimum recovery altitude:

Time = 3000 meters / 10 meters per second

Simplifying:

Time = 300 seconds

Comparing the two times:

- Time for computer calculations: 0.000108 seconds - Time for plane descent: 300 seconds

Since the time for the computer calculations is significantly less than the time for the plane descent, the pilot will have enough time to save the plane.

Conclusion

Based on the given information, the pilot will have enough time to save the plane if the minimum altitude to recover from a dive is 2000 meters. The time it takes for the onboard computer to perform the necessary calculations is much shorter than the time it takes for the plane to reach the minimum recovery altitude.