Mathematics of Flight. Height of an Aircraft in Flight

Transcription

1 Mathematic of Flight Height of an Aircraft in Flight

2 To determine the height of an aircraft in flight being oberved by two tracking tation, the following formula can be ued: cot α - cot β when given the ditance between tracking tation () and the angle of inclination ( α and β)

3 cot α cot β α β h

4 The F-94 erie all-weather interceptor were developed from the Lockheed P-80 Shooting Star. The prototype F-94 firt flew on July 1, Improvement in the F-94C included a higher thrut engine, ingle point refueling, a redeigned wing, a weptback horizontal tabilizer, upgraded fire-control and navigation ytem, and later, mid-wing rocket pod. Twenty-four rocket were carried in the noe in a ring around the radome, hielded by retractable door, with an additional 24 in the wing pod, if intalled. The F-94C carried no gun. Starfire were employed in the air defene of the continental United State in the The lat F-94C were withdrawn from USAF ervice in Ceiling: 51,800 ft.

5 Example: Two tracking tation mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 30 and the angle at the econd tracking tation i 70?

6 Example: Two tracking tation mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 30 and the angle at the econd tracking tation i 70? cot α - cot β cot 30 - cot 70

7 Example: Two tracking tation mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 30 and the angle at the econd tracking tation i 70? cot α - cot β cot 30 - cot

8 Example: Two tracking tation mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 30 and the angle at the econd tracking tation i 70? cot α - cot β cot 30 - cot

9 Example: Two tracking tation mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 30 and the angle at the econd tracking tation i 70? The aircraft' height i mile.

10 Example: Two tracking tation mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 30 and the angle at the econd tracking tation i 70? The aircraft' height i mile. To convert thi to feet, we know that one mile equal 5,280 feet. 1 mile = ,280 feet h x 5,280

11 Example: Two tracking tation mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 30 and the angle at the econd tracking tation i 70? The aircraft' height i mile. To convert thi to feet, we know that one mile equal 5,280 feet. 1 mile = ,280 feet h x 5,280 49, feet The aircraft i 49,982 feet above the ground.

12 Exercie 1: Two tracking tation 20.6 mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 20 and the angle at the econd tracking tation i 60?

13 Exercie 1: Two tracking tation 20.6 mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 20 and the angle at the econd tracking tation i 60? cot α - cot β 20.6 cot 20 - cot 60

14 Exercie 1: Two tracking tation 20.6 mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 20 and the angle at the econd tracking tation i 60? cot α - cot β 20.6 cot 20 - cot

15 Exercie 1: Two tracking tation 20.6 mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 20 and the angle at the econd tracking tation i 60? cot α - cot β 20.6 cot 20 - cot

16 Exercie 1: Two tracking tation 20.6 mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 20 and the angle at the econd tracking tation i 60? The aircraft' height i mile.

17 Exercie 1: Two tracking tation 20.6 mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 20 and the angle at the econd tracking tation i 60? The aircraft' height i mile. To convert thi to feet, we know that one mile equal 5,280 feet. 1 mile = ,280 feet h

18 Exercie 1: Two tracking tation 20.6 mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 20 and the angle at the econd tracking tation i 60? The aircraft' height i mile. To convert thi to feet, we know that one mile equal 5,280 feet. 1 mile = ,280 feet h x 5,280

19 Exercie 1: Two tracking tation 20.6 mile apart oberve an aircraft flying over them. How high, in feet, i the aircraft above the ground if the plane angle of inclination at the firt tation i 20 and the angle at the econd tracking tation i 60? The aircraft' height i mile. To convert thi to feet, we know that one mile equal 5,280 feet. 1 mile = ,280 feet h x 5,280 50,120 feet The aircraft i 50,120 feet above the ground.

20 The F-106 all-weather interceptor wa developed from the Convair F-102 Delta Dagger. Originally deignated F-102B, it wa redeignated F-106 becaue it had extenive tructural change and a more powerful engine. The firt F-106A flew on December 26, 1956, and deliverie to the Air Force began in July Production ended in late 1960 after 277 F-106A and 63 F-106B had been built. The F-106 ued a Hughe MA-1 electronic guidance and fire control ytem. After takeoff, the MA-1 can be given control of the aircraft to fly it to the proper altitude and attack poition. Then it can fire the Genie and Falcon miile, break off the attack run and return the aircraft to the vicinity of it bae. The pilot take control again for the landing. Ceiling: 53,000 ft.

21 Exercie 2: An aircraft i flying at 10,000 feet. Two tracking tation are oberving it. How many mile apart are the tracking tation if the aircraft angle of inclination at the firt tation i 10 and the angle at the econd tracking tation i 80? 10,000 = cot α - cot β cot 10 - cot 80

22 Exercie 2: An aircraft i flying at 10,000 feet. Two tracking tation are oberving it. How many mile apart are the tracking tation if the aircraft angle of inclination at the firt tation i 10 and the angle at the econd tracking tation i 80? 10,000 = 10,000 = cot α - cot β cot 10 - cot

23 Exercie 2: An aircraft i flying at 10,000 feet. Two tracking tation are oberving it. How many mile apart are the tracking tation if the aircraft angle of inclination at the firt tation i 10 and the angle at the econd tracking tation i 80? 10,000 = 10,000 = 10,000 = cot α - cot β cot 10 - cot

24 Exercie 2: An aircraft i flying at 10,000 feet. Two tracking tation are oberving it. How many mile apart are the tracking tation if the aircraft angle of inclination at the firt tation i 10 and the angle at the econd tracking tation i 80? X 10,000 ft = X

25 Exercie 2: An aircraft i flying at 10,000 feet. Two tracking tation are oberving it. How many mile apart are the tracking tation if the aircraft angle of inclination at the firt tation i 10 and the angle at the econd tracking tation i 80? X 10,000 ft = X ,950 ft = The ditance i 54,950 ft.

26 Exercie 2: An aircraft i flying at 10,000 feet. Two tracking tation are oberving it. How many mile apart are the tracking tation if the aircraft angle of inclination at the firt tation i 10 and the angle at the econd tracking tation i 80? X 10,000 ft = X ,950 ft = The ditance i 54,950 ft. One mile equal 5,280 ft. 1 mile = 5,280 feet 54,950 feet

27 Exercie 2: An aircraft i flying at 10,000 feet. Two tracking tation are oberving it. How many mile apart are the tracking tation if the aircraft angle of inclination at the firt tation i 10 and the angle at the econd tracking tation i 80? X 10,000 ft = X ,950 ft = The ditance i 54,950 ft. One mile equal 5,280 ft. 1 mile = 5,280 feet 54,950 feet = 54,950 5,280 = mile The tracking tation are mile apart.

28 The French-built Nieuport 28 became the firt fighter airplane flown in combat by pilot of the American Expeditionary Force (AEF) in World War I. The lightly built Nieuport 28 developed a reputation for hedding it upper wing fabric in a dive, and by the pring of 1918, many conidered the Nieuport 28 obolete. Even o, American pilot maintained a favorable ratio of victorie to loe with it. Many American ace of WWI, including 26- victory ace Capt. Eddie Rickenbacker, flew the Nieuport at one time or another in their career. It had a ceiling of 17,000 ft.

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