An airplane flying at a velocity of 900 k m h - 1 loops the loop. If the maximum force pressing the pilot against the seat is five times its weight, the loop radius should be

Question

An airplane flying at a velocity of 900 k m h - 1 loops the loop. If the maximum force pressing the pilot against the seat is five times its weight, the loop radius should be, 1594 m, 1402 m, 1315 m, 1167 m

MARKS App · Accepted Answer

v = 900 km h - 1 = 900 × 5 18 = 250 m s - 1 maximum force is at the bottom of vertical circle F max = mv 2 r + mg = 5 mg v 2 = 4gr r = v 2 4g = 250 2 4 9.8 = 1594 m

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