If her speed is 240 m/s at this time, find the radius of the loop. Answer in units of km.

Question

An aerobatic airplane pilot experiences weightlessness as she passes over the top of a loop-the-loop maneuver. The acceleration of gravity is 9.8 m/s 2 . If her speed is 240 m/s at this time, find the radius of the loop. Answer in units of km.

Answer 1

mv²/R = mg; R = v²/g = 240²m²/s²/9.8m/s² = 5877.551 m = 5.878 km