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Question

A cast iron block of 200 mm length is being shaped in a shaping machine with a depth of cut of 4 mm, feed of 0.25 mm/stroke and the tool principal cutting edge angle of 30°. Number of cutting strokes per minute is 60. Using specific energy for cutting as 1.49 J/mm3, the average power consumption (in watt) is
  1. 298

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Solution

The correct option is A 298
The volume rate of material removal is:

Q = fdLN
where f(feed) = 0.25 mm/stroke
d (depth of cut) = 4 mm
L (length of block) = 200 mm

N(number of cutting stroke per minute) = 60

Q=0.25×4×200×6060(mm3s)
=200 mm3/s
Uc=1.49 J/mm3

Paverage=Uc×Q=1.49×200 J/s=298 W

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