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Question

A MS billet 160 mm diameter was turned with an HSS tool at 30 m/min. The tool life under this condition was observed to be 2.1 hours. At the cutting speed of 25 m/min, the tool life was observed to be 5.2 hours. The Taylor's constant 'C' is

A
38.4
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B
66.95
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C
79.3
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D
95.15
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Solution

The correct option is C 79.3
For HSS tool
V1=30 m/min
T1=2.1 hours =2.1×60=126 min
V2=25 m/min
T2=5.2 hours
=5.2×60=312 mins

V1Tn1=V2Tn2=C

30(126)n=25(312)n
n=0.198

C=V1Tn1=30(126)0.198
=78.53=79.3

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