Tool life of a 10 hours is obtained when cutting with a

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Tool life of a 10 hours is obtained when cutting with a single point tool at 63 m/min. If Taylor's constant C = 257.35, tool life on doubling the velocity will be

1. 5 hours
2. 25.7 min
3. 38.3 min
4. unchanged

Correct Option: B

V₁ =63m/min T₁ = 60 hours = 600 min
C = 257.35
V₁T₁ⁿ = C
63 × (100)ⁿ = 257.35
n = 0.22
V₂T₂ⁿ = 257.35
2 V₂T₂ⁿ = 257.35
2 × 63 (T₂)0.22= 257.35
T2 = 25.6min