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If the cutting speed is 20 m/ min, what is the rotational speed required for a 20 mm drill bit?

  • A.120 rpm
  • B.320 rpm
  • C.400 rpm
  • D.160 rpm

Answer: B

The required speed is about 320 rpm.

Cutting speed \(v = \frac{\pi d N}{1000}\) with \(v\) in m/min and \(d\) in mm, so

\[ \begin{aligned} N &= \frac{1000\,v}{\pi d} = \frac{1000 \times 20}{3.14 \times 20} \\ &\approx 318\ \text{rpm} \end{aligned} \]

which rounds to 320 rpm. 400 rpm would suit a drill of about 16 mm and 160 rpm one of about 40 mm, so both use the wrong diameter; 120 rpm would need a drill of about 53 mm.

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