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An involute is the curve traced by

  • A.a point on a circle rolling outside another circle
  • B.a point moving away from a pole at a uniform rate
  • C.a point on a string unwound from a shape
  • D.a point on a circle rolling along a line

Answer: C

The string stays taut and tangential throughout, so each element of the curve is perpendicular to the string at that instant. Gear teeth are given involute flanks because the profile transmits motion at a constant velocity ratio.

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