An airplane is cruising at a speed of 257.2 m/s along a straight line and makes a turn along a circular path level with the ground. What should be the radius (in kilometers) of the circular trajectory be to produce a centripetal acceleration of 3g, where g is the acceleration due to gravity, on the pilot and the plane?

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter3: Motion In Two Dimensions
Section: Chapter Questions
Problem 31P: Figure P3.31 represents the total acceleration of a particle moving clockwise in a circle of radius...
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An airplane is cruising at a speed of 257.2 m/s along a straight line and
makes a turn along a circular path level with the ground. What should be the radius (in kilometers) of the circular trajectory be to produce a centripetal acceleration of 3g, where g is the acceleration due to gravity, on the pilot and the plane?

(A) 1.73 km

(B) 2.58 km

(C) 1.99 km

(D) 2.25 km

(E) None of these 

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