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Gyroscopic Instruments Questions and Answers

81.

Assertion (A): A fast, heavy rotor is preferred in a mechanical gyroscope.

Reason (R): Precession rate is inversely proportional to angular momentum.

Select the correct answer from the options below.

Answer: A

Correct answer: Both A and R are true, and R is the correct explanation of A

Both are true and the second is the reason for the first. Precession rate is \( T/I\omega \), so a larger angular momentum means less unwanted movement for the same disturbing torque.

Designers therefore make the rotor as heavy and as fast as the bearings allow, and concentrate its mass at the rim where it contributes most to the moment of inertia. The same relation explains why a rotor running down drifts progressively faster.

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82.

Consider the following statements about gyroscopic properties:

1. Rigidity in space keeps the axis fixed unless a torque acts.

2. Precession appears 90 degrees from the applied force in the direction of spin.

3. Precession rate is proportional to angular momentum.

Which of the statements given above is or are correct?

Answer: B

Correct answer: 1 and 2 only

The first two are correct: rigidity in space is the axis holding its direction absent a torque, and precession appears 90 degrees from the applied force in the direction of rotor rotation.

The third inverts the relation. Precession rate is \( T/I\omega \), so it is inversely proportional to angular momentum - which is the whole reason a fast heavy rotor makes a good reference and a slowing one does not.

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83.

Consider the following statements about drift:

1. Bearing friction produces real drift.

2. Earth rotation produces apparent drift proportional to the sine of latitude.

3. Transport wander is a real movement of the spin axis.

Which of the statements given above is or are correct?

Answer: C

Correct answer: 1 and 2 only

The first two are correct: bearing friction applies a torque and produces genuine movement, and earth rotation produces apparent drift of \( 15\sin\phi \).

The third misclassifies transport wander. It is apparent: the spin axis holds its direction in space while the direction of local north changes as the aircraft moves over the earth. The test is whether a torque acts on the gyro, and none does here.

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84.

Consider the following statements about the attitude indicator:

1. Its spin axis is vertical with freedom in pitch and roll.

2. Its erection system applies torques that precess the axis towards the vertical.

3. It is immune to error during accelerations.

Which of the statements given above is or are correct?

Answer: D

Correct answer: 1 and 2 only

The first two describe the instrument correctly: the spin axis is vertical with gimbal freedom in pitch and roll, and the erection system applies small torques that precess the axis back towards the vertical.

The third is false, and follows from the second. The erection sensor finds the vertical pendulously, so it responds to the resultant of gravity and any acceleration - which is precisely the source of acceleration and turn errors.

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85.

Consider the following statements about turn instruments:

1. A standard rate turn is 3 degrees per second.

2. The turn coordinator's canted gimbal makes it respond to roll rate on entry.

3. The ball of the slip indicator shows the rate of turn.

Which of the statements given above is or are correct?

Answer: A

Correct answer: 1 and 2 only

The first two are correct: a standard rate turn is 3 degrees per second, giving a full circle in two minutes, and the turn coordinator's canted gimbal makes it respond to roll rate as the turn is entered.

The third misassigns the ball, which shows whether the turn is balanced - slipping, skidding or coordinated - and says nothing about its rate. Rate comes from the gyroscopic needle or miniature aircraft beside it.

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86.

Match each instrument in List I with the quantity it indicates in List II.

List I

A. Attitude indicator

B. Directional gyro

C. Turn coordinator

D. Slip indicator

List II

1. Pitch and roll relative to the horizon

2. Heading held against a set reference

3. Rate of turn, with roll rate on entry

4. Whether the turn is balanced

Select the correct match.

Answer: B

Correct answer: A-1, B-2, C-3, D-4

Each instrument answers a different question. The attitude indicator gives pitch and roll relative to the horizon; the directional gyro holds a heading against a reference set from the compass.

The turn coordinator gives rate of turn, with roll rate showing on entry because of its canted gimbal. The slip indicator shows whether the turn is balanced. Three are gyroscopic and one is a ball in a tube - which is the distinction worth carrying through this topic.

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87.

Match each cause in List I with the type of drift it produces in List II.

List I

A. Bearing friction

B. Earth rotation

C. Change of longitude in flight

D. Rotor imbalance

List II

1. Real drift from friction in the bearings

2. Apparent drift proportional to sine of latitude

3. Transport wander, apparent and direction dependent

4. Real drift from an out-of-balance rotor

Select the correct match.

Answer: C

Correct answer: A-1, B-2, C-3, D-4

The four divide into two real causes and two apparent ones. Bearing friction and rotor imbalance both apply torques, so the axis genuinely moves - real drift, unpredictable and correctable only by realignment.

Earth rotation and change of longitude both leave the axis fixed while the reference frame turns - apparent drift, computable from latitude and track and therefore compensable by design. Sorting the list into real and apparent first settles the matching.

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88.

Match each technology in List I with its principal limitation in List II.

List I

A. Air-driven spinning mass

B. Electric spinning mass

C. Ring laser gyro

D. Fibre optic gyro

List II

1. Gradual undetected failure as the pump or filter degrades

2. Bearing wear producing real drift

3. Lock-in at very low rotation rates

4. Sensitivity to temperature variation

Select the correct match.

Answer: D

Correct answer: A-1, B-2, C-3, D-4

Each technology has its characteristic weakness. An air-driven gyro fails gradually as the pump or filter degrades, and the instrument stays plausible while becoming wrong - the most dangerous kind of failure.

An electric spinning mass has no pump but still has bearings, so wear produces real drift. A ring laser gyro suffers lock-in at low rates, requiring dither. A fibre optic gyro is sensitive to temperature variation along the coil, which must be compensated.

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89.

Match each term in List I with its meaning in List II.

List I

A. Rigidity in space

B. Precession

C. Toppling

D. Erection

List II

1. The axis staying fixed unless a torque acts

2. Motion at 90 degrees to an applied force

3. The axis tumbling when gimbal limits are exceeded

4. Torquing the axis back towards the vertical

Select the correct match.

Answer: A

Correct answer: A-1, B-2, C-3, D-4

The four terms cover the property, the response, the failure and the correction. Rigidity is the axis staying fixed absent a torque; precession is the motion at 90 degrees when a torque is applied.

Toppling is the axis tumbling when the gimbal limits are exceeded, after which the reference is lost. Erection is the system that torques the axis gently back towards the vertical, correcting drift - and it is the source of the acceleration and turn errors, since it finds the vertical pendulously.

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90.

Which of the following instruments contains no gyroscope?

Answer: B

Correct answer: The slip and skid indicator

The slip indicator is a ball in a curved liquid-filled tube. It has no rotor, no gimbals and no power supply - it settles along the resultant of gravity and centrifugal force by simple mechanics.

The other three all contain gyroscopes: a vertical-axis gyro in the attitude indicator, a horizontal-axis one in the directional gyro, and a canted rate gyro in the turn coordinator. The ball shares a case with the last of these, which is the source of the confusion.

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