Propeller efficiency is the ratio of useful thrust power to shaft power, giving .
Incorrect! Try again.
5In the Breguet range equation, which term represents the aircraft's fuel-related weight ratio?
Breguet equation for range and endurance
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
The Breguet equation uses the natural logarithm of initial weight divided by final weight, .
Incorrect! Try again.
6For fixed values of all other variables, increasing the ratio has what effect on Breguet range?
Breguet equation for range and endurance
Easy
A.It decreases range
B.It makes range zero
C.It increases range
D.It leaves range unchanged
Correct Answer: It increases range
Explanation:
A larger weight ratio increases and therefore increases the predicted range.
Incorrect! Try again.
7A propeller-driven airplane achieves maximum range when it operates at the condition for:
Conditions for maximum range and endurance for propeller-driven airplanes
Easy
A.Maximum
B.Minimum airspeed
C.Maximum
D.Maximum engine power
Correct Answer: Maximum
Explanation:
Maximum propeller-airplane range occurs at the maximum lift-to-drag ratio, .
Incorrect! Try again.
8A propeller-driven airplane achieves maximum endurance approximately at the condition of:
Conditions for maximum range and endurance for propeller-driven airplanes
Easy
A.Minimum power required
B.Minimum lift produced
C.Maximum airspeed reached
D.Maximum drag produced
Correct Answer: Minimum power required
Explanation:
Minimum power required gives the lowest fuel-flow rate and therefore the greatest time aloft.
Incorrect! Try again.
9Which aerodynamic ratio is maximized for maximum endurance of a propeller-driven airplane?
Conditions for maximum range and endurance for propeller-driven airplanes
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Maximum propeller-airplane endurance occurs when is maximized.
Incorrect! Try again.
10Fuel consumption in a jet airplane is most directly related to the:
Jet airplane: Physical consideration
Easy
A.Lift produced
B.Wing area
C.Thrust produced
D.Altitude reached
Correct Answer: Thrust produced
Explanation:
Jet fuel-flow rate is commonly modeled as proportional to engine thrust.
Incorrect! Try again.
11In steady, unaccelerated, level flight, the thrust of a jet airplane is equal to its:
Jet airplane: Physical consideration
Easy
A.Power
B.Drag
C.Weight
D.Lift
Correct Answer: Drag
Explanation:
Steady flight requires horizontal force balance, so thrust equals drag: .
Incorrect! Try again.
12If is thrust-specific fuel consumption and is thrust, the fuel weight-flow rate is proportional to:
Jet airplane: Quantitative formulation
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
The standard jet model expresses fuel weight-flow rate as the product of thrust-specific fuel consumption and thrust.
Incorrect! Try again.
13During steady, level flight, which force balance is used in a jet range calculation?
Jet airplane: Quantitative formulation
Easy
A. and
B. and
C. and
D.
Correct Answer: and
Explanation:
Steady, level flight requires lift to balance weight and thrust to balance drag.
Incorrect! Try again.
14A common Breguet range equation for a jet airplane is:
Equation for range and endurance of jet airplanes
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
Jet range increases with airspeed, lift-to-drag ratio, and weight ratio, but decreases with thrust-specific fuel consumption.
Incorrect! Try again.
15A common Breguet endurance equation for a jet airplane is:
Equation for range and endurance of jet airplanes
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
For constant and , jet endurance is proportional to .
Incorrect! Try again.
16For a jet airplane at a specified altitude, maximum range is associated with maximizing:
Conditions for maximum range and endurance for jet airplanes
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
At a specified altitude, the maximum-range condition for a jet is obtained by maximizing .
Incorrect! Try again.
17A jet airplane achieves maximum endurance when it operates at the condition for:
Conditions for maximum range and endurance for jet airplanes
Easy
A.Maximum
B.Minimum lift
C.Maximum airspeed
D.Maximum thrust
Correct Answer: Maximum
Explanation:
Maximum jet endurance occurs at maximum lift-to-drag ratio, which minimizes the thrust and fuel flow required.
Incorrect! Try again.
18For a given true airspeed, a steady headwind has what effect on an airplane's ground speed?
Effect of headwind and tailwind
Easy
A.It leaves ground speed unchanged
B.It doubles ground speed
C.It decreases ground speed
D.It increases ground speed
Correct Answer: It decreases ground speed
Explanation:
For a direct headwind, ground speed equals airspeed minus wind speed.
Incorrect! Try again.
19For the same fuel load and flight condition, a steady tailwind generally has what effect on ground range?
Effect of headwind and tailwind
Easy
A.It leaves ground range unchanged
B.It makes ground range zero
C.It decreases ground range
D.It increases ground range
Correct Answer: It increases ground range
Explanation:
A tailwind increases ground speed, allowing the airplane to cover more ground during the available flight time.
Incorrect! Try again.
20If is true airspeed and is the speed of a direct tailwind, the ground speed is:
Effect of headwind and tailwind
Easy
A.
B.
C.
D.
Correct Answer:
Explanation:
A direct tailwind adds to the airplane's true airspeed, so .
Incorrect! Try again.
21A propeller-driven airplane flies at constant speed and drag. If propeller efficiency increases from to while specific fuel consumption remains constant, how does the fuel-flow rate change?
Propeller-driven airplane: Physical consideration
Medium
A.It remains approximately unchanged.
B.It decreases by approximately .
C.It decreases by approximately .
D.It increases by approximately .
Correct Answer: It decreases by approximately .
Explanation:
Required shaft power is , so fuel flow is proportional to . The ratio is , corresponding to a decrease.
Incorrect! Try again.
22An airplane has a drag of at . If its propeller efficiency is , what shaft power must the engine provide?
Propeller-driven airplane: Quantitative formulation
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The shaft power is .
Incorrect! Try again.
23For a propeller-driven airplane, , , , and . Using , estimate the range.
Breguet equation for range and endurance
Medium
A.Approximately
B.Approximately
C.Approximately
D.Approximately
Correct Answer: Approximately
Explanation:
Substitution gives , or about .
Incorrect! Try again.
24Assuming constant , , propeller efficiency, and power-specific fuel consumption, which expression gives the endurance of a propeller-driven airplane?
Breguet equation for range and endurance
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Propeller endurance follows from integrating fuel flow proportional to required power. The aerodynamic factor is , and the weight term contains reciprocal square roots.
Incorrect! Try again.
25A propeller-driven airplane has the drag polar . Assuming constant propeller efficiency, what lift coefficient gives maximum range?
Conditions for maximum range and endurance for propeller-driven airplanes
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Maximum propeller range occurs at maximum . Thus .
Incorrect! Try again.
26For a parabolic drag polar , what drag relationship applies at maximum endurance of a propeller-driven airplane?
Conditions for maximum range and endurance for propeller-driven airplanes
Medium
A.Induced drag equals three times parasite drag.
B.Parasite drag equals induced drag.
C.Induced drag equals one-half of parasite drag.
D.Parasite drag equals three times induced drag.
Correct Answer: Induced drag equals three times parasite drag.
Explanation:
Maximum propeller endurance requires minimum power, or maximum . This gives .
Incorrect! Try again.
27A propeller-driven airplane's speed for maximum is . For a parabolic drag polar, estimate its speed for maximum endurance at the same weight and altitude.
Conditions for maximum range and endurance for propeller-driven airplanes
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For a propeller airplane, . Therefore, .
Incorrect! Try again.
28A jet cruises in steady level flight with constant thrust-specific fuel consumption. If a configuration change reduces required drag by at the same flight condition, what happens to fuel-flow rate?
Jet airplane: Physical consideration
Medium
A.It decreases by approximately .
B.It decreases by approximately .
C.It increases by approximately .
D.It remains approximately constant.
Correct Answer: It decreases by approximately .
Explanation:
In steady level flight, required thrust equals drag. Since jet fuel flow is , a reduction in drag produces a reduction in fuel flow.
Incorrect! Try again.
29A jet requires of thrust in cruise and has . What is its fuel weight-flow rate?
Jet airplane: Quantitative formulation
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Jet fuel weight flow is .
Incorrect! Try again.
30A jet cruises at with , , and . Using the constant-speed Breguet equation, estimate its range.
Equation for range and endurance of jet airplanes
Medium
A.Approximately
B.Approximately
C.Approximately
D.Approximately
Correct Answer: Approximately
Explanation:
Convert to and use . This gives about .
Incorrect! Try again.
31A jet maintains while its weight decreases from to , where . If , what is its endurance?
Equation for range and endurance of jet airplanes
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For a jet, . Hence .
Incorrect! Try again.
32For constant , , altitude, and , jet range is proportional to . If both initial and final weights are multiplied by four while their ratio remains unchanged, how does the predicted range change?
Equation for range and endurance of jet airplanes
Medium
A.It becomes four times as large.
B.It remains unchanged.
C.It becomes one-half as large.
D.It becomes twice as large.
Correct Answer: It becomes twice as large.
Explanation:
Replacing each weight by multiplies each square root by two. Therefore, .
Incorrect! Try again.
33For a jet airplane with , what condition gives maximum endurance?
Conditions for maximum range and endurance for jet airplanes
Medium
Maximum jet endurance occurs at maximum . For a parabolic polar, maximum occurs when .
Incorrect! Try again.
34At the lift coefficient for maximum range of a jet airplane with a parabolic drag polar, how are parasite and induced drag related?
Conditions for maximum range and endurance for jet airplanes
Medium
A.Induced drag is one-half of parasite drag.
B.Induced drag is three times parasite drag.
C.Parasite drag is three times induced drag.
D.Parasite drag equals induced drag.
Correct Answer: Parasite drag is three times induced drag.
Explanation:
Maximum jet range at constant altitude requires maximizing . This gives , so parasite drag is three times induced drag.
Incorrect! Try again.
35A jet's maximum-endurance speed is . Assuming a parabolic drag polar, estimate its maximum-range speed at the same weight and altitude.
Conditions for maximum range and endurance for jet airplanes
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
For a jet, . Thus .
Incorrect! Try again.
36In the constant- jet range equation, range is proportional to . If density decreases from to of its original value while other parameters remain fixed, by what factor does range change?
Jet airplane: Quantitative formulation
Medium
A.It decreases by a factor of .
B.It increases by a factor of .
C.It decreases by a factor of .
D.It increases by a factor of .
Correct Answer: It increases by a factor of .
Explanation:
The range factor is . This assumes unchanged , drag polar, TSFC, and weight limits.
Incorrect! Try again.
37Compared with the still-air maximum-range airspeed, what adjustments generally maximize ground range in moderate steady winds?
Effect of headwind and tailwind
Medium
A.Use the still-air speed for either wind direction.
B.Fly faster in a headwind and slower in a tailwind.
C.Fly slower in a headwind and faster in a tailwind.
D.Fly faster in both a headwind and a tailwind.
Correct Answer: Fly faster in a headwind and slower in a tailwind.
Explanation:
A headwind penalizes time spent flying slowly, so the optimum airspeed increases. A tailwind provides more benefit at a somewhat lower airspeed, so the optimum decreases.
Incorrect! Try again.
38An airplane flies at a true airspeed of for with a steady tailwind. Neglecting climb and descent, what ground distance does it cover?
Effect of headwind and tailwind
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
Ground speed is . The distance is .
Incorrect! Try again.
39An airplane maintains the same airspeed, altitude, aerodynamic configuration, and engine setting during two flights. One has a steady headwind and the other an equal tailwind. How does airborne endurance compare?
Effect of headwind and tailwind
Medium
A.Endurance is greater during the tailwind flight.
B.Endurance changes in proportion to ground speed.
C.Airborne endurance is the same for both flights.
D.Endurance is greater during the headwind flight.
Correct Answer: Airborne endurance is the same for both flights.
Explanation:
Wind changes ground speed but not the airplane's aerodynamic condition or fuel flow at the stated settings. Therefore, endurance remains unchanged while ground range changes.
Incorrect! Try again.
40An airplane maintains true airspeed and the same fuel-flow rate. What is the ratio of fuel used per ground kilometre with a headwind to that with a tailwind?
Effect of headwind and tailwind
Medium
A.
B.
C.
D.
Correct Answer:
Explanation:
The ground speeds are and . Fuel per distance is inversely proportional to ground speed, so the ratio is .
Incorrect! Try again.
41For a propeller airplane operating with unchanged aerodynamic coefficients and weight ratio, propeller efficiency increases by 10% while power-specific fuel consumption decreases by 10%. By what factor do both ideal range and endurance change?
Propeller-driven airplane: Physical consideration
Hard
A.They increase by a factor of
B.They increase by a factor of
C.They increase by a factor of
D.They increase by a factor of
Correct Answer: They increase by a factor of
Explanation:
Both quantities are proportional to . Thus the factor is .
Incorrect! Try again.
42For a propeller airplane with , let maximize still-air range and maximize endurance at the same weight and altitude. Assuming neither speed is stall-limited, what is ?
Propeller-driven airplane: Physical consideration
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Maximum range has , while maximum endurance has . Since , .
Incorrect! Try again.
43A propeller airplane descends or slows as necessary to maintain constant , density, configuration, and propeller efficiency while fuel is consumed. When its weight becomes of its initial value, what is the ratio of its instantaneous fuel-weight flow to the initial value?
Propeller-driven airplane: Quantitative formulation
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
At fixed and density, and , so required power and fuel flow scale as . Hence the ratio is .
Incorrect! Try again.
44For steady level flight of a propeller airplane, suppose , , and and are constant. Which expression gives the instantaneous air distance per unit fuel weight?
Propeller-driven airplane: Quantitative formulation
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Using and , the velocity cancels. Thus propeller-airplane range is maximized by minimizing drag, or maximizing .
Incorrect! Try again.
45A propeller airplane's weight ratio is increased from to , with , , and unchanged. What is the ratio of the new Breguet range to the original range?
Breguet equation for range and endurance
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Propeller Breguet range is proportional to . Therefore, .
Incorrect! Try again.
46Two constant- propeller loiter missions use the same airplane, density, , , and . Mission A decreases weight from 100 to 64 units; Mission B decreases it from 81 to 49 units. What is ?
Breguet equation for range and endurance
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Propeller endurance is proportional to . Thus .
Incorrect! Try again.
47A propeller airplane has and a usable limit . Which pair gives the constrained optimum lift coefficients for maximum range and maximum endurance, respectively?
Conditions for maximum range and endurance for propeller-driven airplanes
Hard
A.,
B.,
C.,
D.,
Correct Answer: ,
Explanation:
Unconstrained optima are and . The endurance optimum is therefore limited to .
Incorrect! Try again.
48For the nonquadratic drag polar , which conditions determine the unconstrained propeller maximum-range and maximum-endurance lift coefficients?
Conditions for maximum range and endurance for propeller-driven airplanes
Hard
A. and
B. and
C. and
D. and
Correct Answer: and
Explanation:
Range maximizes , giving . Endurance maximizes , giving .
Incorrect! Try again.
49Why do the still-air maximum-endurance and maximum-range conditions differ for an ideal turbojet with constant thrust-specific fuel consumption?
Jet airplane: Physical consideration
Hard
A.Endurance maximizes , whereas range maximizes the distance-speed factor
B.Endurance maximizes speed, whereas range minimizes the product of lift and speed
C.Endurance minimizes lift, whereas range maximizes thrust independently of drag
D.Endurance minimizes drag, whereas range minimizes required thrust multiplied by speed
Correct Answer: Endurance maximizes , whereas range maximizes the distance-speed factor
Explanation:
Jet fuel flow is proportional to thrust, which equals drag in steady flight. Endurance therefore maximizes , while range includes distance covered per time and maximizes .
Incorrect! Try again.
50An ideal jet maintains the same weight, , drag polar, and TSFC while moving to an altitude where density is one-quarter of its original value. Neglect compressibility and engine-altitude effects. How do endurance and range change?
Jet airplane: Physical consideration
Hard
A.Endurance halves and range doubles
B.Endurance doubles and range quadruples
C.Endurance remains unchanged and range doubles
D.Endurance doubles and range remains unchanged
Correct Answer: Endurance remains unchanged and range doubles
Explanation:
At fixed , drag and fuel flow are unchanged, so endurance is unchanged. Since , reducing density to one-quarter doubles speed and ideal range.
Incorrect! Try again.
51A jet maintains constant , density, configuration, and TSFC as weight decreases. When its weight reaches , by what factor has its instantaneous still-air specific range increased?
Jet airplane: Quantitative formulation
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
At constant , , while drag and fuel flow are proportional to . Specific range therefore scales as , giving .
Incorrect! Try again.
52Suppose a jet's TSFC varies as instead of remaining constant. At fixed weight and density, which aerodynamic quantity must be maximized for instantaneous still-air range?
Jet airplane: Quantitative formulation
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Specific range is . At fixed weight, minimizing drag is equivalent to maximizing .
Incorrect! Try again.
53Two ideal constant-, constant-density jet missions have identical and . Mission A changes weight from 100 to 64 units, while Mission B changes weight from 81 to 49 units. How do their ranges compare?
Equation for range and endurance of jet airplanes
Hard
A.Mission A has of Mission B's range
B.Mission B has of Mission A's range
C.The two missions have equal range
D.Mission A has of Mission B's range
Correct Answer: The two missions have equal range
Explanation:
Constant- jet range is proportional to . Both missions give a difference of , so their ideal ranges are equal.
Incorrect! Try again.
54Which statement correctly distinguishes the logarithmic jet range equation from the constant-, constant-density square-root form?
Equation for range and endurance of jet airplanes
Hard
A.Both forms require constant , but only the square-root form permits changing aircraft weight
B.Both forms require constant , but only the logarithmic form permits changing aerodynamic efficiency
C.The logarithmic form assumes constant and density; the square-root form assumes constant and
D.The logarithmic form assumes constant and ; the square-root form follows from constant and density
Correct Answer: The logarithmic form assumes constant and ; the square-root form follows from constant and density
Explanation:
Holding and gives . Holding and density makes and produces a dependence.
Incorrect! Try again.
55For a jet with , let and denote the unconstrained speeds for maximum still-air range and endurance at the same weight and altitude. What is ?
Conditions for maximum range and endurance for jet airplanes
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Jet range uses , while endurance uses . Since , .
Incorrect! Try again.
56A jet has and must satisfy . Which pair gives the constrained optimum values for maximum range and endurance, respectively?
Conditions for maximum range and endurance for jet airplanes
Hard
A.,
B.,
C.,
D.,
Correct Answer: ,
Explanation:
The unconstrained values are and . The endurance condition is limited to .
Incorrect! Try again.
57For a jet with the nonquadratic polar , which pair characterizes the unconstrained maximum-range and maximum-endurance conditions?
Conditions for maximum range and endurance for jet airplanes
Hard
58For a jet, write drag as proportional to , where and is the minimum-drag speed. A headwind equals . Approximately what maximizes instantaneous ground specific range?
Effect of headwind and tailwind
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Ground specific range is proportional to . Differentiation gives , whose relevant positive root is approximately .
Incorrect! Try again.
59For a propeller airplane, let drag be proportional to , where . If a tailwind equals and propulsive parameters are constant, approximately what maximizes ground specific range?
Effect of headwind and tailwind
Hard
A.
B.
C.
D.
Correct Answer:
Explanation:
Ground specific range is proportional to . The stationarity condition is , giving .
Incorrect! Try again.
60Under the ideal assumptions that wind is steady, horizontal, and does not alter aerodynamic or engine performance, which statement about endurance and ground range is correct?
Effect of headwind and tailwind
Hard
A.Wind directly changes fuel flow, so both airborne time and air distance change at every fixed flight state
B.Wind changes endurance only for jets, while propeller-airplane endurance remains unchanged
C.Wind leaves ground range unchanged, but endurance changes because groundspeed enters the fuel-flow equation
D.Wind leaves airborne endurance unchanged, but ground range gains the signed contribution
Correct Answer: Wind leaves airborne endurance unchanged, but ground range gains the signed contribution
Explanation:
Fuel consumption depends on motion relative to the air, so ideal endurance is unchanged. Along-track groundspeed is , making ground range .
Incorrect! Try again.
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