Question

Самолет описывает петлю Нестерова в вертикальной плоскости. определите скорость самолета, при которой летчик в верхней части петли не отрывался бы от самолета, если радиус петли 245 м

Answer 1

$v= \sqrt{g*R} = \sqrt{2450} =49m/c$

Answer 2

Calculating the Speed for Nesterov's Loop

To calculate the speed at which the pilot at the top of the loop would not detach from the plane, we can use the formula for centripetal force:

Centripetal force (Fc) = (mass of the plane) × (velocity of the plane)^2 / (radius of the loop)

We can rearrange this formula to solve for the velocity of the plane:

Velocity of the plane = √((Fc × radius of the loop) / (mass of the plane))

Given: - Radius of the loop (r) = 245 m - Acceleration due to gravity (g) = 9.81 m/s^2 (to calculate the centripetal force)

We can calculate the speed of the plane using the above formula.