The plane at a speed of 360 km / h makes a loop of Nesterov with a radius of 400 m. Determine

The plane at a speed of 360 km / h makes a loop of Nesterov with a radius of 400 m. Determine the centro-temporal acceleration of the plane.

Given:

v = 360 km / h = 100 meters per second – aircraft speed;

R = 400 meters – the radius of the Nesterov loop, which the aircraft is performing.

It is required to determine a (m / s ^ 2) – the centripetal acceleration of the aircraft.

The centripetal acceleration of a body that moves in a circle can be determined by the formula:

a = v ^ 2 / R = 100 ^ 2/400 = 10000/400 = 100/4 = 25 m / s ^ 2.

Answer: The centripetal acceleration of an airplane is 25 meters per second squared.