# An Introduction to Aerodynamics

## Airplane Mathematics

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## WORD PROBLEMS

- 1. A plane leaving Washington at ll:2OAM is scheduled to arrive in Philadelphia in 3 hours 28 minutes. After a stop over of 30 minutes the plane is scheduled to arrive at John F. Kennedy Airport at 4:28PM. How long does it take the plane to fly from Philadelphia to Kennedy?
- 2. In a series of hope, an aircraft flew for 3 hours 18 minutes, 2 hours 42 minutes, and 4 hours 57 minutes. Find the total flying time.
- 3. An airplane had 8 hours of fuel at take-off. How many hours of fuel is left after the plane flies for 5 hours 18 minutes?
- 4. A 747 Boeing plane flew from London to New York City in 5 hours 28 minutes 15.6 seconds. A phanton jet holds the record from New York City to London, 4 hours 47 minutes 56.7 seconds. How much longer is the west bound flight?

- 5. The contract time schedule for building the Concorde by Britain and France was 60 weeks 15 days. If this was reduced by one fourth, how much time was saved?
- 6. If unimportant intermediate stops along the air route were eliminated, it would reduce the time of 2 days 12 hours required to transport mail between three cities. How long would it take?
- 7. The Concorde climbed 5 kilometers in 25 seconds. What was its rate of climb in meters per second?
- 8. One formation of aircraft flew at an altitude of 12,000 feet, while another flew at an altitude of 5,000 meters. Which formation flew at the higher altitude?
- 9. The wing area of a model airplane is 64 square centimeters. Express its area in square inches.
- 10. The world aviation altitude record in 1974 was 95,935.99 meters. Express this altitude record in kilometers.
- 11. In evaluating the formula for lift, the air speed must be expressed in terms of feet per second.
- a. In finding the lift of a plane flying at an air speed of 380 statute miles per second, what air speed in feet per second must be used in the formula?
- 12. The top air speed of a foreign plane is 900 kilometers per hour while the top speed of a similar American plane is 500 statue miles per hour. Which plane has the greater top air speed?
- 13. The James family runs a fleet of planes. To the nearest dime, what is the cost per kilometer if the planes fly a total of 1,240,356 kilometers at a cost of $1,780,542?
- 14. How many planes will Delta Air Lines need to transport a group of 29,522 persons if each jet carries 509 passengers?
- 15. The price of jet fuel was $1.40 per gallon. The price increased 10%. How much was the increase?
- 16. The cost of flying from city A to city B is $147.56, from city B to City C is $186.77, and from City C to City A is $206.00:
- What does it cost to fly from A to B, to C and back to A?
- Lisa can save the communications company 25% of the cost by flying in the evening. How much does the company pay for the trip described in exercise 1 if all the flights are evening flights?
- A charter flight from B to C and back costs $139.47. How much can Lisa save the company if she takes the charter flight?
- 17. Find the average ground speed, in miles per hour, of a plane when it travels a distance of: 1,000 miles in 4 hours, 180 miles in 12 minutes, 90 miles in 5 minutes and 20 seconds and 360 miles in 1 hour and 15 seconds.
- 18. A 747 Boeing Jet flew non stop from Long Beach, California to Dullas Airport in the D.C. and Virginia area, a distance of 2,295 statue miles, in 5 hours 17 minutes and 34 seconds. What was the average speed in knots?
- 19. Find the closing speed in miles per minute if one aircraft is flying at lBO miles per hour head-on toward a aircraft flying at 220 miles per hour.
- 20. Justine is a ticket agent for United Airlines. On Friday she sells 3 tickets to three different passengers traveling to London, England. One ticket cost $786.00, another costs $626.00 and the third ticket costs $952.00. On Tuesday the airlines put on a special for all three tickets. The first $600.00, the second $525.00, and the third $837.00. How much would each passenger save if they purchase the tickets on sale?