The cutting speed of a milling cutter is 21 m/min. Find the rpm of cutter if diameter is 21 mm. (π = 22/7)

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ISRO SAC Technician B Fitter 6 Nov 2016 Official Paper
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  1. 25
  2. 318
  3. 2.5
  4. 2500

Answer (Detailed Solution Below)

Option 2 : 318
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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 drill (mm), N = rpm, V = Cutting speed in m/min

Calculation:

Given:

V = 21 m/min, Diameter, D = 21 mm

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

⇒ 21 = \(\frac{\pi~\times~21~\times~N}{1000}\)

⇒ N = 318.18 rpm

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