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Empennage Sizing Questions and Answers

41.

Statement I: A dorsal fin increases the fin's contribution to directional stability at small sideslip angles.

Statement II: A dorsal fin delays fin stall at large sideslip angles.

In the light of the above statements, choose the correct answer.

Answer: A

Correct answer: Statement I is incorrect but Statement II is correct

The second statement is right: a dorsal fin's swept, low aspect ratio leading edge sheds a vortex that keeps the flow attached well beyond the fin's natural stall angle, preserving stability in a large sideslip and preventing rudder lock.

The first is wrong. At small sideslip the fin is unstalled and working normally, and the dorsal fillet adds very little side force there - its contribution is negligible until the angles become large. It is a fix for the extreme case, not a way of adding cruise directional stability.

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42.

Statement I: Deep stall makes the elevator ineffective.

Statement II: At extreme angles of attack the wing wake can blanket a high-mounted tailplane.

In the light of the above statements, choose the correct answer.

Answer: B

Correct answer: Both Statement I and Statement II are correct

Both are true and the second is the cause of the first. At extreme angle of attack the wing's separated wake rises and can blanket a high-mounted tailplane, so the surface sits in low-energy air and the elevator loses the authority to lower the nose.

The stall then becomes self-sustaining, since the aircraft descends at high incidence with the wake still over the tail - recovery may be impossible. The remedies are preventive: stick shaker and stick pusher to stop entry, established after the BAC One-Eleven accident of 1963.

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43.

Arrange the steps of a first-pass horizontal tail sizing in the order they are carried out:

1. Compute the required tail area

2. Choose a tail volume coefficient from comparable aircraft

3. Check elevator authority at the forward centre of gravity limit

4. Establish the tail arm from the fuselage layout

Select the correct sequence.

Answer: C

The coefficient comes first from precedent, then the arm from the layout already fixed, then the area falls out of the definition, and only then is the resulting tail checked for control authority. Computing an area before knowing the arm is meaningless.

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44.

Arrange the events of the engine-failure sizing case in causal order:

1. A yawing moment develops about the centre of gravity

2. The minimum control speed is established from the balance

3. The engine fails and thrust becomes asymmetric

4. Rudder is applied to balance the moment

Select the correct sequence.

Answer: D

The failure creates the asymmetry, the asymmetry creates the moment, the rudder answers it, and the slowest speed at which it can still do so is the certified minimum control speed. Each step depends on the one before it.

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45.

Arrange these tail configurations in order of increasing fin structural weight for the same tailplane area:

1. T-tail

2. Cruciform tail

3. T-tail with rear-fuselage engines

4. Conventional low tail

Select the correct sequence.

Answer: A

Correct answer: 4, 2, 1, 3

The ordering follows how much of the tailplane's load the fin must carry. A conventional low tail puts the tailplane on the fuselage, so the fin carries only its own side load and is lightest.

A cruciform tail mounts the tailplane part way up, so the fin carries it over part of its height. A T-tail carries it at the very top, over the full height, in bending and torsion. A T-tail with rear-fuselage engines is heavier still, the fin also being stiffened against the flutter and inertia effects of the aft mass. Each step adds load path, hence weight.

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46.

Arrange the steps of a longitudinal stability check in order:

1. Report the static margin

2. Add the tail contribution to find the neutral point

3. Locate the wing aerodynamic centre

4. Compare the neutral point with the aft centre of gravity limit

Select the correct sequence.

Answer: B

The wing sets the starting point, the tail moves it aft, the aft loading limit is then measured against it, and the margin is what that comparison yields. Reversing any pair leaves you reporting a number you have not yet computed.

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47.

Arrange the consequences of a fuselage stretch on tail sizing in causal order:

1. The tail arm increases

2. The fuselage is lengthened by plugs

3. The tail volume coefficient rises at constant area

4. The tail may be left unchanged or even reduced

Select the correct sequence.

Answer: C

Length buys arm, arm buys tail volume, and the surplus volume is what lets the original tail stand. It is the cheapest outcome a stretch can have, though the aft centre of gravity movement sometimes spends the surplus again.

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48.

Consider the following pairs of tail parameter and the reference quantity it is normalised on:

Horizontal tail volume - Wing area and mean aerodynamic chord

Vertical tail volume - Wing area and span

Static margin - Mean aerodynamic chord

Tail arm - Wing span

How many of the pairs given above are correctly matched?

Answer: D

Correct answer: Only three

The first three are correct: the horizontal tail volume is normalised on wing area and mean aerodynamic chord, the vertical on wing area and span, and the static margin is expressed as a fraction of \( \bar{c} \).

The fourth is wrong. The tail arm is a physical length in metres - the distance between the wing and tail aerodynamic centres - and is not normalised on anything. It appears in the numerator of both tail volume coefficients, which is where the normalising happens.

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49.

Consider the following pairs of tail configuration and its principal drawback:

T-tail - Deep stall risk and a heavier fin

V-tail - Coupled pitch and yaw control

Canard - Destabilising foreplane demanding a forward centre of gravity

Conventional tail - Poor rudder authority in a crosswind

How many of the pairs given above are correctly matched?

Answer: A

Correct answer: Only three

Three of the pairs hold. A T-tail brings deep stall risk and a heavier fin; a V-tail couples pitch and yaw control through its ruddervators; and a canard foreplane is destabilising, moving the neutral point forward and demanding a forward centre of gravity.

The fourth is wrong. Rudder authority in a crosswind is a matter of fin and rudder sizing, not of tail configuration, and a conventional tail is no worse placed than any other - if anything better, since its rudder is not blanketed by a tailplane above it.

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50.

Consider the following pairs of surface and the axis it controls:

Elevator - Pitch

Rudder - Yaw

Ruddervator - Pitch and yaw together

Dorsal fin - Roll

How many of the pairs given above are correctly matched?

Answer: B

The first three are right. A dorsal fin is not a control surface at all; it is a fixed fillet ahead of the fin that delays fin stall at large sideslip angles, and roll on a conventional aircraft belongs to the ailerons and spoilers.

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