The revolving door in Figure 7.25 rotates counterclockwise and has four equally spaced

Chapter 7, Problem 7.2.18

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The revolving door in Figure 7.25 rotates counterclockwise and has four equally spaced panels. (a) What is the angle between two adjacent panels? (b) What is the angle created by a panel rotating from B to A?(c) When the door is as shown in Figure 7.25, a person going outside rotates the door from D to B. What is this angle of rotation? (d) If the door is initially as shown in Figure 7.25, a person coming inside rotates the door from B to D. What is this angle of rotation? (e) The door starts in the position shown in Figure 7.25. Where is the panel at A after three people enter and five people exit? Assume that people going in and going out do so in the manner described in parts (d) and (c), and that each person goes completely through the door before the next enters.

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