The cutting speed of a milling cutter is 35 m/min. Find the diameter of cutter if rpm is 400. (π = 22/7)

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ISRO SAC Technician B Fitter 6 Nov 2016 Official Paper
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  1. 44 mm
  2. 40 mm
  3. 35 mm
  4. 28 mm

Answer (Detailed Solution Below)

Option 4 : 28 mm
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Detailed Solution

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Concept:

Cutting speed:

  • Cutting speed is the speed at which the cutting edge passes over the material while cutting, and is expressed in meters per minute.
  • It is given by:

V = \(\frac{\pi~\times~D~\times~N}{1000}\)

Where, D = Diameter of milling cutter (mm), N = rpm, V = Cutting speed in m/min

Calculation:

Given:

V = 35 m/min, Diameter, N = 400 rpm

∵ V = \(\frac{\pi~\times~D~\times~N}{1000}\)

⇒ 35 = \(\frac{\pi~\times ~D~\times~400}{1000}\)

⇒ D = 27.85 mm

The nearest value is 28 mm

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