Question

the human body can safely tolerate a vertical acceleration of 9 times that due to gravity , with what minimum radius of curvature may a pilot safely turn the plane upward at the end of a dive if the plane 's speed is 770 km/h ?

P/S : my book answer : 519 meter.

Answer 1

Question 30456

For circular motion acceleration is calculated as $a = \frac{v^2}{R}$ . The more radius is, the less the acceleration is. According to the conditions of the task, minimal radius of the curvature corresponds to $a_1 = 9g \left( g = 9.81\frac{m}{s^2} \right)$ (for higher values of radius, acceleration will be lower and human will be able to deal with it physically). From formula for acceleration obtain $R_{\min} = \frac{v^2}{a_1} = \frac{v^2}{9g} \approx 518.2m$ .