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A gyro bias of 0.5 degrees per hour is left uncorrected for 30 minutes. The heading error is

  • A.15 degrees
  • B.0.25 degrees
  • C.0.5 degrees
  • D.1.0 degree

Answer: B

Correct answer: 0.25 degrees

Bias produces error growing linearly with time, and thirty minutes is half an hour:

\[ \Delta\psi = 0.5\ \mathrm{deg/hr} \times 0.5\ \mathrm{hr} = 0.25\ \mathrm{degrees} \]

Keeping the units consistent is the whole of the problem - the distractor \( 15 \) comes from treating the thirty minutes as thirty hours. Note how much better this gyro is than the one in the earlier item: \( 0.5 \) degrees per hour is roughly \( 0.00014 \) degrees per second, so the heading drifts a quarter of a degree where the other drifted three degrees in five minutes.

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