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A helix on a cylinder of 50 mm diameter with a pitch of 40 mm has a helix angle of about

  • A.51.3 degrees
  • B.75.7 degrees
  • C.14.3 degrees
  • D.38.7 degrees

Answer: C

Correct answer: 14.3 degrees

The helix angle is measured from the plane perpendicular to the axis: \[ \tan\theta = \frac{\text{pitch}}{\pi d} = \frac{40}{\pi \times 50} = \frac{40}{157.1} = 0.2546, \] \[ \theta = 14.3^\circ. \] Taking the complement gives 75.7 degrees, which is the angle to the axis and is offered as a distractor.

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