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A&P - General > Mathematics and Physics > Flashcards

Mathematics and Physics Flashcards

1
Q

What power of 10 is equal to 1,000,000,000?

A

10 to the ninth power

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2
Q

What is defined as a group of bits representing a complete piece of information?

A

Byte

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3
Q

Convert the binary number 00001111 to decimal form

A

15

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4
Q

Show ‘7’ as a binary number

A

0111

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5
Q

Show ‘17’ as a binary number

A

10001

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6
Q

What is the binary code for 10?

A

1010

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7
Q

Find the square root of 1,746

A

41.7852

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8
Q

Find the square root of 3,722.1835

A

61.0097

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9
Q

Which of the following is the square root of (-1776) / (-2) - 632?

A

16

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10
Q

Solve the equation: (SQ100 + SQ36 - SQ16) = (where SQ is square root)

A

12

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11
Q

Find the cube of 64

A

262,144

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12
Q

Find the value of 10 raised to the negative sixth power

A

0.000001

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13
Q

What is the square root of 4 raised to the fifth power?

A

32

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14
Q

The number 3.47 x 10 to the negative fourth power is equal to

A

.000347

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15
Q

Which alternative answer is equal to 16,300?

A

1.63 x 10 to the fourth power

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16
Q

Find the square root of 124.9924

A

1,118 x 10 to the negative second power

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17
Q

What is the square root of 16 raised to the fourth power?

A

256

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18
Q

Solve the equation = (SQ100 + SQ36 - SQ16) = (where SQ is square root)

A

12

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19
Q

The result of 7 raised to the third power plus the square root of 39 is equal to

A

349.24

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20
Q

Find the square root of 1,824

A

.42708 x 10 to the negative second power

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21
Q

7.056.0452 x 1/72 is most nearly equal the square root of which of the following?

A

9,604

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22
Q

Which of the following is equal to the square root of 3,844?

A

31(2) + 7 (-3.5 x 2) =

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23
Q

Solve the equation 1/6 / (32 x 3/8) =

A

0.0138

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24
Q

Select the fractional equivalent of 0.078125

A

5/64

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25
Q

1.286875 is equal to

A

83/64

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26
Q

Select the fractional equivalent of 0.20312

A

13/64

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27
Q

The total piston displacement in a reciprocating engine is

A

the volume displaced by all pistons during one revolution of the crankshaft

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28
Q

What is the surface of a cube where a side (edge) measures 7.25 inches?

A

315.375 sq. in.

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29
Q

What size sheet of metal is required to fabricate a cylinder 20 inches long and 8 inches in diameter?
(Note: C = pi x D)

A

20 inches x 25-9/64

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30
Q

What force is exerted on the piston in a hydraulic cylinder if the area of the piston is 1.2 square inches and the fluid pressure is 850 PSI?

A

1,020 pounds

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31
Q

A rectangular shaped fuel tank measures 60 inches in length, 30 inches in width and 12 inches in depth. How many cubic feet are within the tank

A

12.5

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32
Q

Select the container size that will be equal in volume to 60 gallons of fuel (7.5 gal = 1 cu ft)

A

8 cubic feet

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33
Q

What is the piston displacement of a master cylinder with a 1.5 inch diameter bore and a piston stroke of 4 inches?

A

7.0686 cubic inches

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34
Q

How many gallons of fuel will be contained in a rectangular shaped tank which measures 2 feet in width, 3 feet in length and 1 foot 8 inches in depth?
(7.5 gal = 1 cu ft)

A

75

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35
Q

A rectangular shaped fuel tank measures 27 1/2 inches in length, 3/4 foot in width and 8 1/4 inches in depth. How many gallons will the tank contain?
(231 cu in = 1gal)

A

8.83

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36
Q

If an airplane has two 28-gallon fuel tanks, how many quarts would it contain if they are full?

A

224

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37
Q

A four cylinder aircraft engine has a cylinder bore of 3.78 inches and is 8.5 inches deep. With the piston on bottom centre, the top of the piston measures 4.0 inches from the bottom of the cylinder. What is the approximate piston displacement of this engine?

A

200 cubic metres

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38
Q

A rectangular shaped fuel tank measures 37 1/2 inches in length, 14 inches in width and 8 1/4 inches in depth. How many cubic inches are within the tank?

A

4,331.25

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39
Q

A six cylinder engine with a bore of 3.5 inches, a cylinder of 7 inches and a stroke of 4.5 inches will have a total piston displacement of

A

259.77 cubic inches

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40
Q

Select the fraction which is equal to 0.025

A

1/40

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41
Q

1.21875 is equal to

A

39/32

42
Q

If the volume of a cylinder with the piston at bottom centre is 84 cubic inches and the piston displacement is 70 cubic inches, then the compression ratio is

A

6:1

43
Q

Express 7/8 as a percent

A

87.5 percent

44
Q

What is the speed of a spur gear with 42 teeth driven by a pinion gear with 14 teeth turning 420 RPM?

A

140 RPM

45
Q

An engine develops 108 horsepower at 87 percent power. What horsepower would be developed at 85 percent power?

A

81

46
Q

A certain aircraft bolt has an overall length of 1 1/2 inches, with a shank length of 1 3/16 and a threaded portion of 5/8 inches. What is the grip length?

A

.5625 inch

47
Q

Select the fractional equivalent for a 0.0625 thick sheet of aluminum

A

1/16

48
Q

Example of units in the conventional (US or english) measurement include

A

inch, ounce or pound

49
Q

Express 5/8 as a percent

A

62.5 percent

50
Q

Select the decimal which is most nearly equal to 77/64

A

1.2031

51
Q

An airplane flying a distance of 750 miles uses 60 gallons of gasoline. How many gallons will need to travel 2,500 miles?

A

200

52
Q

What is the speed ratio of a gear with 36 teeth meshed to a gear with 20 teeth?

A

1:1.8

53
Q

A pinion gear with 14 teeth is driving a spur gear with 42 teeth at 140 RPM. Determine the speed of the pinion gear.

A

420 RPM

54
Q

If an engine is turning 1,965 RPM at 65 percent power, what is the maximum power?

A

3,023

55
Q

An engine of 98 horsepower is running at 75 percent power. What is the horsepower being developed?

A

73.5

56
Q

A blueprint shows a hole of 0.17187 to be drilled. What fraction size drill bit is most nearly equal?

A

11/64

57
Q

What decimal is nearly equal to a bend radius of 31/64?

A

31/64

58
Q

Sixty-five engines are what percent of 80 engines?

A

81 percent

59
Q

The radius of a piece of round stock is 7/32. Select the decimal which is most nearly to the diameter

A

0.4375

60
Q

Maximum life for a certain part is 1100 hours. Recently, 15 of these parts were removed from different aircraft with an average life of 835.3 hours. What percent of the maximum part life has been achieved?

A

75.9 percent

61
Q

What is the ratio of 10 feet to 30 inches?

A

4:1

62
Q

How much current does a 30-volt 1/2 horsepower motor that is 85 percent efficient draw from the bus?
(Note 1 horsepower = 746 watts)

A

14.6 amperes

63
Q

Solve the equation: [(4 x -30) + (-9 x 2)] / 2 =

A

-15

64
Q

Solve the equation: (64 x 3/8) / 3/4 =

A

32

65
Q

Solve the equation: (32 x 3/8) / 1/6 =

A

72

66
Q

Solve the equation: 4 - (-2) + 12 / 2 x 3 =

A

24

67
Q

What is the ratio of a gasoline fuel load of 200 gallons to one of 1,680 pounds?

A

5:7

68
Q

Solve the equation: 1/2 (-30 + 34) 5 =

A

10

69
Q

Solve the equation: 4 - 3[-6(2+3)+4]

A

82

70
Q

Solve the equation: (-3 + 2)(-12 - 4) + (-4 + 6) x 3 =

A

22

71
Q

If a double acting cylinder in a 3,000 PSI system has a piston with a surface area of three square inches on the extension side, and a rod with a cross-section area of one square inch attached to the piston on the other side, approximately how much force will the actuator be able to produce when retracting?

A

6,000 pounds

72
Q

The boiling point of a given liquid varies

A

directly with pressure

73
Q

Which of the following is NOT considered a method of heat transfer?

A

Diffusion

74
Q

An engine that weighs 350 pounds is removed from an aircraft by means of a mobile hoist. The engine is raised 3 feet above its attachment mount, and the entire assembly is then moved forward 12 feet. A constant force of 70 pounds is required to move the loaded hoist. What is the total work input required to move the hoist?

A

840 foot pounds

75
Q

Which condition is the actual amount of water vapour in a mixture of air and water?

A

Absolute humidity

76
Q

Under which conditions will the rate of flow of a liquid through a metering orifice (or jet) be the greatest (all other factors being equal)?

A

Unmetered pressure, 17 PSI; metered pressure 5 PSI; atmospheric 14.7 PSI

77
Q

Which will weigh the least?

A

35 parts of dry air and 65 parts of water vapour

78
Q

Which is the ratio of the water vapor actually present in the atmosphere to the amount that would be present if the air were saturated at the prevailing temperature and pressure?

A

Relative humidity

79
Q

The speed of sound in the atmosphere

A

changes with a change in temperature

80
Q

The speed of sound in the atmosphere is most affected by variations in which of the following?

A

Ambient temperature

81
Q

If the volume of a confined gas is doubled (without the addition of more gas), the pressure will (assume the temperature remains constant)

A

be reduced to one-half its original value

82
Q

If the temperature of a confined liquid is held constant and its pressure is tripled, the volume will

A

remain the same

83
Q

How much work input is required to lower (not drop) a 120-pound weight from the top of a 3-foot table to the floor?

A

360 foot-pounds

84
Q

Which atmospheric conditions will cause the true landing speed of an aircraft to be the greatest?

A

High temperature with high humidity

85
Q

If the fluid pressure is 800 PSI in a 1/2 inch line supplying an actuating cylinder with a piston area of 10 square inches, the force exerted on the piston will be

A

8,000 pounds

86
Q

How many, if any, factors are necessary to determine power?

A

Force exerted, distance moved and time required

87
Q

Which statement concerning heat and/or temperature is true?

A

Temperature is a measure of the kinetic energy of the molecules of any substances

88
Q

What is standard measure of heat energy?

A

Caloric BTU

89
Q

What is absolute humidity?

A

The actual amount of the water vapor in a mixture of air and water

90
Q

The temperature to which humid air must be cooled at constant pressure to become saturated is called

A

dewpoint

91
Q

If both the volume and the absolute temperature of a confined gas are doubled, the pressure will

A

not change

92
Q

If all, or any significant part of a stall strip is missing on a airplane wing, a likely result will be

A

asymmetrical lateral control at or near stall angle of attack

93
Q

The prupose of stall strips is to

A

ensure that wing roots areas stall first

94
Q

Why would wings or flaps have manufactured holes in their surface?

A

Increase fuel economy

95
Q

An airplane wing is designed to produce lift resulting from

A

positive air pressure BELOW the wings surface and negative air pressure ABOVE the wings surface along with the downward deflection of air

96
Q

Which of the following is Newton’s First Law Motion, generally termed the Law of inertia?

A

everybody persists in its state of rest, or of motion in a straight line, unless acted upon by some outside force

97
Q

The purpose of aircraft wing dihedral is to

A

increase lateral stability

98
Q

Aspect ratio of a wing is defined as the ratio of the

A

wingspan to the mean chord

99
Q

A wing with a very high aspect ratio (in comparison with a low aspect ratio wing) will have

A

a low stall speed

100
Q

The desired effect of using winglets on an aircraft’s wingtips is to

A

increase the lift to drag ratio

101
Q

The main rotor system on a helicopter is classified in three groups. Which of those listed is NOT one of these groups?

A

The flexible-beam rotor system

102
Q

Which of the following statements are correct>

A

When the collective pitch control lever is raised, the blade angle of all the rotor blades increases uniformly and they create the lift that allows the helicopter to take off vertically

A&P - General (11 decks)

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