IOM 2018, Блиц, английски — Задача 73

OLYMPIAD OF METROPOLISES. Moscow, September 3 · 3 септември 2018 г.

Условие

An airplane is about to land. In order to line up with a runway, it is making a turn with the engines shut down. The speed of the plane is $v = 300$ km/h, its mass is $m = 200{,}000$ kg. What is the radius of the turn, if the angle between the plane wings and the horizontal is $\alpha = 30^{\circ}$? (Assume the plane to be flying along a horizontal circle and the force of lift be perpendicular to the wings.)

The answer should be given in the SI units unless otherwise stated. If the numerical result turns out to be an integer, it should be given as the answer. Otherwise round the result to the first decimal. $g = 10\ \mathrm{m/s^2}$.

Отговори

Решение

---

Оригинал в Архива: blitz.pdf · официални решения: blitz-answers.pdf