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Angle random walk in a gyroscope describes

  • A.Error growing as the square root of time
  • B.Error growing linearly with time from a bias
  • C.A fixed offset in the output
  • D.Error caused by temperature change

Answer: A

Correct answer: Error growing as the square root of time

Angle random walk describes the attitude error produced by integrating the gyro's white noise. Because independent random increments accumulate as the square root of their number, the resulting angle error grows as \( \sqrt{t} \), and the coefficient is quoted in degrees per root hour.

It is therefore distinguishable from bias, which produces error growing linearly with time, and this difference in growth law is what lets a filter estimate the two separately. A fixed offset is bias, and temperature-induced error is a separate systematic effect usually handled by calibration.

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