In steady, unaccelerated flight, both the magnitude and direction of velocity remain constant.
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2What are the four primary forces acting on an aircraft in flight?
Four forces of flight
Easy
A.Lift, pressure, torque, and drag
B.Weight, power, friction, and lift
C.Lift, weight, thrust, and drag
D.Thrust, gravity, torque, and pressure
Correct Answer: Lift, weight, thrust, and drag
Explanation:
The four primary forces are lift, weight, thrust, and drag.
Incorrect! Try again.
3In steady, level flight, which force balances the aircraft's weight?
Four forces of flight
Easy
A.Torque
B.Thrust
C.Lift
D.Drag
Correct Answer: Lift
Explanation:
Lift equals weight in steady, level, unaccelerated flight.
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4In steady, level flight, which force balances aerodynamic drag?
Four forces of flight
Easy
A.Thrust
B.Lift
C.Weight
D.Buoyancy
Correct Answer: Thrust
Explanation:
Thrust equals drag when the aircraft maintains a constant speed in level flight.
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5Which equation represents translational motion according to Newton's second law?
General equation of motion
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Newton's second law states that the resultant force equals mass multiplied by acceleration.
Incorrect! Try again.
6What is the resultant force on an aircraft in unaccelerated flight?
General equation of motion
Easy
A.Equal to weight
B.Equal to lift
C.Zero
D.Equal to thrust
Correct Answer: Zero
Explanation:
Because acceleration is zero, Newton's second law gives a zero resultant force.
Incorrect! Try again.
7How is propulsive power related to thrust and flight speed ?
Power available and power required curves
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Propulsive power is the product of thrust and flight speed.
Incorrect! Try again.
8What does an intersection of the power-available and power-required curves represent?
Power available and power required curves
Easy
A.A guaranteed stall speed
B.A possible steady-flight speed
C.A zero-lift flight speed
D.A maximum structural speed
Correct Answer: A possible steady-flight speed
Explanation:
At an intersection, available power equals required power, allowing steady flight at that speed.
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9In steady, level flight, thrust required is equal to which aerodynamic force?
Thrust available and thrust required curves
Easy
A.Lift
B.Side force
C.Weight
D.Drag
Correct Answer: Drag
Explanation:
Thrust required equals drag when speed and altitude remain constant.
Incorrect! Try again.
10What does excess thrust mean?
Thrust available and thrust required curves
Easy
A.Thrust required equals aircraft lift
B.Thrust available exceeds thrust required
C.Thrust available equals aircraft weight
D.Thrust required exceeds thrust available
Correct Answer: Thrust available exceeds thrust required
Explanation:
Excess thrust is the amount by which thrust available is greater than thrust required.
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11How is the thrust-to-weight ratio defined?
Thrust-to-weight ratio
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
The thrust-to-weight ratio is aircraft thrust divided by aircraft weight.
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12What does a larger thrust-to-weight ratio generally indicate?
Thrust-to-weight ratio
Easy
A.Greater wing loading
B.Greater acceleration capability
C.Lower maximum lift
D.Higher zero-lift drag
Correct Answer: Greater acceleration capability
Explanation:
A larger thrust-to-weight ratio generally provides more excess force for acceleration or climbing.
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13Which expression defines wing loading?
Wing loading
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Wing loading is aircraft weight divided by wing reference area .
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14For otherwise identical conditions, what is the usual effect of reducing wing loading?
Wing loading
Easy
A.Lower stall speed
B.Higher stall speed
C.Higher zero-lift drag
D.Lower maximum lift coefficient
Correct Answer: Lower stall speed
Explanation:
Lower wing loading allows the required lift to be produced at a lower flight speed.
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15Which equation is the common parabolic drag polar?
Drag polar
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
The parabolic drag polar combines zero-lift drag with a term representing induced drag.
Incorrect! Try again.
16In the drag polar , what does represent?
Drag polar
Easy
A.Induced-drag factor
B.Total lift coefficient
C.Maximum lift coefficient
D.Zero-lift drag coefficient
Correct Answer: Zero-lift drag coefficient
Explanation:
is the drag coefficient when the lift coefficient is zero.
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17Which expression gives the lift-to-drag ratio?
Lift-to-drag ratio
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
The lift-to-drag ratio is lift divided by drag and measures aerodynamic efficiency.
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18What does a high lift-to-drag ratio indicate?
Lift-to-drag ratio
Easy
A.High aircraft weight
B.Low engine thrust
C.High aerodynamic efficiency
D.Low wing area
Correct Answer: High aerodynamic efficiency
Explanation:
A high means the aircraft produces relatively large lift for a given amount of drag.
Incorrect! Try again.
19Which aerodynamic quantity normally limits the minimum steady-flight speed?
Minimum velocity
Easy
A.Maximum thrust coefficient
B.Zero-lift drag coefficient
C.Minimum drag coefficient
D.Maximum lift coefficient
Correct Answer: Maximum lift coefficient
Explanation:
Minimum steady-flight speed occurs when the wing reaches its maximum usable lift coefficient.
Incorrect! Try again.
20For a parabolic drag polar, what is true at maximum lift-to-drag ratio?
Aerodynamic relations associated with lift-to-drag ratio
Easy
A.Parasite drag equals induced drag
B.Thrust equals aircraft weight
C.Parasite drag becomes zero
D.Lift equals induced drag
Correct Answer: Parasite drag equals induced drag
Explanation:
For a parabolic drag polar, maximum occurs when parasite drag and induced drag are equal.
Incorrect! Try again.
21An aircraft maintains constant speed and a constant flight-path angle in still air. Which statement best describes its motion?
Introduction
Medium
A.Its acceleration varies while the resultant force remains zero
B.Its acceleration is constant and the resultant force is positive
C.Its acceleration is zero and the resultant force is zero
D.Its acceleration is zero but the resultant force is nonzero
Correct Answer: Its acceleration is zero and the resultant force is zero
Explanation:
Constant velocity magnitude and direction imply zero acceleration. By Newton's second law, the resultant external force must therefore be zero.
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22For an aircraft in steady, straight, level flight with no wind, which force balance is required?
Four forces of flight
Medium
A. and
B. and
C. only
D. and
Correct Answer: and
Explanation:
Vertical equilibrium requires lift to equal weight, while horizontal equilibrium requires thrust to equal drag.
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23Using as the flight-path angle above the horizontal, the tangential equation of motion is . What relation applies during a steady climb at constant speed?
General equation of motion
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
A constant speed gives , so the excess thrust balances the component of weight acting opposite the climb direction.
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24An aircraft performs a steady, straight climb at flight-path angle . Neglecting any thrust component normal to the flight path, what lift is required?
General equation of motion
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Normal to the flight path, lift balances the normal component of weight. Therefore, .
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25For an aircraft with a parabolic drag polar, how is the speed for minimum power required related to the speed for minimum drag ?
Power available and power required curves
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Minimum power required occurs at a lower speed than minimum drag. For a parabolic polar, .
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26A propeller aircraft has approximately constant power available over a range of speeds. What do the two intersections of the power-available and power-required curves represent?
Power available and power required curves
Medium
A.The minimum-drag and minimum-power speeds
B.The minimum and maximum steady level-flight speeds
C.The climb speed and descent speed
D.The stall speed and best-glide speed
Correct Answer: The minimum and maximum steady level-flight speeds
Explanation:
At each intersection, power available equals power required. Steady level flight is possible between the low-speed and high-speed intersections, subject to stall limitations.
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27For a jet aircraft whose thrust available is approximately constant with speed, what does the higher-speed intersection with the thrust-required curve indicate?
Thrust available and thrust required curves
Medium
A.The maximum lift-to-drag speed
B.The minimum power speed
C.The maximum steady level-flight speed
D.The minimum controllable speed
Correct Answer: The maximum steady level-flight speed
Explanation:
At the higher-speed intersection, thrust available just equals thrust required. Beyond this speed, drag exceeds available thrust.
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28An aircraft weighs and has a maximum lift-to-drag ratio of 15. What is its minimum thrust required in steady level flight?
Thrust available and thrust required curves
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
In level flight, . Thus, .
Incorrect! Try again.
29An aircraft flies steadily and level at a lift-to-drag ratio of 12. What thrust-to-weight ratio is required?
Thrust-to-weight ratio
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
In steady level flight, . Therefore, .
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30An aircraft flies level at where air density is and . What is its wing loading ?
Wing loading
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Level flight gives . Substitution gives .
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31If an aircraft's wing loading increases by while air density and remain unchanged, how does its stall speed change?
Wing loading
Medium
A.It decreases by
B.It decreases by
C.It increases by
D.It increases by
Correct Answer: It increases by
Explanation:
Stall speed varies as . Hence, the speed factor is , corresponding to a increase.
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32An aircraft has the drag polar . What is when ?
Drag polar
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Substituting gives .
Incorrect! Try again.
33For the parabolic drag polar , what condition exists at maximum lift-to-drag ratio?
Drag polar
Medium
A.Induced drag equals parasite drag
B.Parasite drag is three times induced drag
C.Total drag equals induced drag
D.Induced drag is twice parasite drag
Correct Answer: Induced drag equals parasite drag
Explanation:
At maximum , the induced-drag contribution equals the zero-lift drag coefficient .
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34For an aircraft with and , what lift coefficient produces maximum lift-to-drag ratio?
Lift-to-drag ratio
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For a parabolic polar, .
Incorrect! Try again.
35A power-off aircraft glides steadily with . For a shallow glide, what is the approximate glide angle below the horizontal?
Lift-to-drag ratio
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For a steady glide, . Thus, .
Incorrect! Try again.
36An aircraft has , , and operates where . What is its minimum steady level-flight speed?
Minimum velocity
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Using gives .
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37An aircraft enters a coordinated level turn at a bank angle of . Compared with its wings-level stall speed, what is its stall speed in the turn?
Minimum velocity
Medium
A. times as large
B. times as large
C. times as large
D. times as large
Correct Answer: times as large
Explanation:
At bank, the load factor is . Stall speed increases by .
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38An aircraft has and achieves maximum at . What dynamic pressure is required for level flight at this condition?
Aerodynamic relations associated with lift-to-drag ratio
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Level flight requires . Therefore, .
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39For , which coefficient relation is true at maximum ?
Aerodynamic relations associated with lift-to-drag ratio
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
At maximum , . Hence, total drag coefficient is .
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40For a propeller aircraft with a parabolic drag polar, what relation between induced drag and parasite drag exists at the minimum-power-required speed?
Power available and power required curves
Medium
A.Induced drag is three times parasite drag
B.Induced drag is twice parasite drag
C.Induced drag equals parasite drag
D.Parasite drag is three times induced drag
Correct Answer: Induced drag is three times parasite drag
Explanation:
Minimum power occurs where induced power equals three times parasite power. Since both power components equal their corresponding drag multiplied by speed, induced drag is three times parasite drag.
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41Which flight condition is steady in the sense of having constant speed and turn rate, but is not unaccelerated in an inertial frame?
Introduction
Hard
A.A straight glide at fixed flight-path angle and constant speed
B.A straight, level trajectory with constant inertial velocity
C.A coordinated, level turn at constant airspeed
D.A straight climb at constant speed in which thrust, lift, drag, and weight have already reached force equilibrium
Correct Answer: A coordinated, level turn at constant airspeed
Explanation:
A level turn has centripetal acceleration even when speed and turn rate are constant. The straight, constant-velocity cases have zero inertial acceleration.
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42An aircraft maintains steady, straight, level flight with thrust inclined upward by an angle relative to the flight path. Which force balance is correct?
Four forces of flight
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
The thrust component parallel to the flight path balances drag, while its upward normal component supplements lift in balancing weight.
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43An aircraft is initially in steady flight. Thrust is instantaneously increased by along a line inclined by above the velocity vector, while all aerodynamic forces remain momentarily unchanged. What are the initial responses?
General equation of motion
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
Resolving the incremental thrust along and normal to the velocity gives and .
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44For a steady, power-off glide with flight-path angle , which relation identifies the shallowest attainable glide angle?
Four forces of flight
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
In a steady glide, and . Hence , so maximum gives the shallowest glide.
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45A wing has , aspect ratio , and Oswald efficiency . Using and , determine the lift coefficient and lift-to-drag ratio at minimum drag.
Drag polar
Hard
A. and
B. and
C. and
D. and , because induced and parasite drag coefficients are added before optimization
Correct Answer: and
Explanation:
Here . Thus and .
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46An aircraft has , , , and polar . Find the speed and drag at maximum .
Lift-to-drag ratio
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
and . Therefore and .
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47For a differentiable drag polar plotted as versus , which condition locates maximum geometrically and analytically?
Aerodynamic relations associated with lift-to-drag ratio
Hard
A., so a line from the origin is tangent to the polar
B., so the polar has a horizontal tangent
C., so the polar intersects a unit-slope line
D., so the polar has a vertical tangent
Correct Answer: , so a line from the origin is tangent to the polar
Explanation:
Maximizing gives . The resulting slope condition is exactly the tangent-from-origin construction.
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48An aircraft has , but a configuration limit restricts it to . What is the maximum attainable in this configuration?
Lift-to-drag ratio
Hard
A. at
B. at
C. at
D. at
Correct Answer: at
Explanation:
The unconstrained optimum is , which is inaccessible. Since is still increasing at , the constrained optimum is .
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49For level flight, , , , , and available . The low-speed thrust-limit solution is approximately . What is the actual minimum steady level-flight speed?
Minimum velocity
Hard
A., set by minimum power
B., set by the thrust limit
C., set by the lift limit
D., where both limits coincide
Correct Answer: , set by the lift limit
Explanation:
The stall boundary is . A mathematical thrust intersection below stall is physically inaccessible, so the lift limit governs.
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50A stall-limited aircraft's wing loading increases by while atmospheric density decreases to of its original value. If is unchanged, what is the ratio of the new minimum true airspeed to the original value?
Minimum velocity
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Since , the ratio is .
Incorrect! Try again.
51At a dynamic pressure of , an aircraft with flies level with . What thrust-to-weight ratio is required?
Thrust-to-weight ratio
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Level flight requires . Thus and .
Incorrect! Try again.
52At fixed dynamic pressure and with , how does increasing wing loading affect the required thrust-to-weight ratio in level flight?
Wing loading
Hard
A.Both terms increase, so required thrust-to-weight ratio always increases in direct proportion to wing loading
B.Both terms decrease, so required thrust-to-weight ratio always falls
C.The parasite term decreases and the induced term increases, so the net change depends on the initial wing loading
D.The parasite term increases while the induced term remains constant
Correct Answer: The parasite term decreases and the induced term increases, so the net change depends on the initial wing loading
Explanation:
The relation is . Its parasite contribution falls with wing loading, while its induced contribution rises.
Incorrect! Try again.
53A turbojet aircraft has , , , constant thrust available , and . Neglecting stall and compressibility, what are the two steady level-flight speeds?
Thrust available and thrust required curves
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
Using gives or . Since , the speeds are approximately and .
Incorrect! Try again.
54At a particular altitude, the thrust-available curve is tangent to the thrust-required curve. Which interpretation is correct?
Thrust available and thrust required curves
Hard
A.Minimum drag is zero because thrust available and thrust required have equal slopes
B.There is one limiting level-flight speed with zero excess thrust; a further thrust lapse eliminates level-flight equilibrium
C.The aircraft is necessarily at its stall speed with maximum excess thrust
D.There are two level-flight speeds with equal positive acceleration margins
Correct Answer: There is one limiting level-flight speed with zero excess thrust; a further thrust lapse eliminates level-flight equilibrium
Explanation:
Tangency merges the two thrust intersections into one. At that point and their slopes match; lowering available thrust further produces no steady level-flight intersection.
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55A propeller aircraft has approximately constant power available over a speed range. Its horizontal power-available line intersects the power-required curve once below and once above the minimum-power speed. Which equilibrium-speed behavior is expected?
Power available and power required curves
Hard
A.Both equilibria are unstable because thrust available decreases with speed
B.Both equilibria are stable because available power is constant
C.The lower-speed equilibrium is unstable, while the higher-speed equilibrium is stable
D.The lower-speed equilibrium is stable, while the higher-speed equilibrium is unstable
Correct Answer: The lower-speed equilibrium is unstable, while the higher-speed equilibrium is stable
Explanation:
On the descending branch, a speed increase lowers required power and creates further acceleration, so the equilibrium is unstable. On the ascending branch, perturbations produce restoring power deficits or surpluses.
Incorrect! Try again.
56Under idealized assumptions, which pair correctly relates thrust available and power available for a fixed-shaft-power propeller and a constant-thrust turbojet?
Power available and power required curves
Hard
A.Propeller: and ; turbojet: and
B.Propeller: both and are constant; turbojet: both increase linearly with speed
C.Propeller: and ; turbojet: and
D.Propeller: and ; turbojet: and
Correct Answer: Propeller: and ; turbojet: and
Explanation:
Power equals thrust times speed. Fixed effective propeller power therefore implies hyperbolically decreasing thrust, whereas constant turbojet thrust implies linearly increasing power available.
Incorrect! Try again.
57For in steady level flight, which set of conditions applies at minimum power required?
Power available and power required curves
Hard
A., , and
B., , and
C., , and
D., , and
Correct Answer: , , and
Explanation:
Writing and differentiating gives , so induced power is three times parasite power. This yields the stated lift coefficient and speed ratio.
Incorrect! Try again.
58With wing area, density, and drag polar fixed, aircraft weight increases by . Assuming no aerodynamic limits intervene, how do minimum-power speed and minimum power required change?
Power available and power required curves
Hard
A.Speed increases by and power increases by approximately
B.Speed increases by and power increases by approximately
C.Speed increases by and power increases by approximately
D.Speed increases by and power increases by approximately
Correct Answer: Speed increases by and power increases by approximately
Explanation:
At the optimum, and . Thus the factors are and .
Incorrect! Try again.
59For a parabolic polar, is doubled while is halved. At fixed , , and density, how do maximum , its corresponding , and its corresponding speed change?
Aerodynamic relations associated with lift-to-drag ratio
Hard
A.Maximum halves, doubles, and speed remains unchanged because the product does not change
B.Maximum doubles, is unchanged, and speed is multiplied by
C.Maximum is unchanged, doubles, and speed is multiplied by
D.Maximum is unchanged, halves, and speed is multiplied by
Correct Answer: Maximum is unchanged, doubles, and speed is multiplied by
Explanation:
Because is unchanged, is unchanged. Meanwhile doubles, so the corresponding speed decreases by .
Incorrect! Try again.
60At fixed dynamic pressure , an aircraft uses the polar . What wing loading minimizes the required , and what is that minimum value?
Wing loading
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
Minimizing gives . The minimum is .
Incorrect! Try again.
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