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A low carbon steel bar of 147mm diameter with a length of 630mm is being turned with an uncoated carbide insert. The observed tool lives are 24min and 12min for cutting velocities of 90m/min and 120m/min respectively. The feed and depth of cut are 0.2mm/rev and 2mm respectively. Use the unmachined diameter to calculate the cutting velocity.

Neglect over-travel or approach of the tool. When too life is 20min, the machining time in min for a single pass is


A
5
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B
10
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C
15
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D
20
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Solution

The correct option is C 15
Given data:
Diameter=147mm=0.147m

Length=630mm=0.63m

Feed=0.2mm/rev=0.2×103m/rev

Velocity=97m/min

Required time=Lf×N

and also,V=πDNm/min

where N is in RPM

Required time=πDLV×f

=π×0.147×0.63097×(0.2×103)=14.99=15min

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