You are flying to New York. You’ve been reading the

Chapter 8, Problem 65CP

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QUESTION:

Problem 65CP

You are flying to New York. You’ve been reading the in-flight magazine, which has an article about the physics of flying. You learned that the airflow over the wings creates a lift force that is always perpendicular to the wings. In level flight, the upward lift force exactly balances the downward gravitational force. The pilot comes on to say that, because of heavy traffic, the plane is going to circle the airport for a while. She says that you’ll maintain a speed of 400 mph at an altitude of 20,000 ft. You start to wonder what the diameter of the plane’s circle around the airport is. You notice that the pilot has banked the plane so that the wings are 10° from horizontal. The safety card in the seatback pocket informs you that the plane’s wing span is 250 ft. What can you learn about the diameter?

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QUESTION:

Problem 65CP

You are flying to New York. You’ve been reading the in-flight magazine, which has an article about the physics of flying. You learned that the airflow over the wings creates a lift force that is always perpendicular to the wings. In level flight, the upward lift force exactly balances the downward gravitational force. The pilot comes on to say that, because of heavy traffic, the plane is going to circle the airport for a while. She says that you’ll maintain a speed of 400 mph at an altitude of 20,000 ft. You start to wonder what the diameter of the plane’s circle around the airport is. You notice that the pilot has banked the plane so that the wings are 10° from horizontal. The safety card in the seatback pocket informs you that the plane’s wing span is 250 ft. What can you learn about the diameter?

ANSWER:

Step 1 of 4

We are required to calculate the diameter of the airplane’s path around the airport

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