Solve the all given parts of following problem:
Problem: Suppose a test pilot is able to safely withstand an acceleration of up to 5.0 times the acceleration due to gravity (that is, remain conscious and alert enough to fly). During the course of maneuvers, he is required to fly the plane in a horizontal circle at its top speed of 2002 mi/h.
Part A: What is the radius of the smallest circle in which he will be able to safely fly the plane?
Part B: How long does it take him to go halfway around this minimum-radius circle?
I need the right answer and steps of solve this problem. Thanks!