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The half included angle of Morse standard taper is:

  • A.3 degree 15'
  • B.3 degree
  • C.3 degree 55'
  • D.1 degree 29'

Answer: D

The half included angle of a Morse taper is about 1 degree 29'.

Morse tapers are close to 1 in 20 on diameter, about 0.05 mm per mm. The half angle is

\[ \begin{aligned} \tan \theta &= \frac{1}{2 \times 20} = 0.025 \\ \theta &\approx 1^\circ 26' \end{aligned} \]

and it varies slightly between the Morse numbers, from about 1°25' to 1°30'. That is the angle to which the compound rest is swivelled to turn a Morse taper. The 3 degree options are about twice that, close to the included angle of the taper, not half of it.

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