In an orthogonal machining operation, the tool life obtained

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In an orthogonal machining operation, the tool life obtained is 10 min at a cutting speed of 100 m/min, while at 75 m/min cutting speed, the tool life is 30 min. The value of index (n) in the Taylor's tool life equation is

1. 0.262
2. 0.323
3. 0.423
4. 0.521

Correct Option: A

T_i = 10 min V₁ = 100 m /min
T₂ = 75 min V₂ = 30 m /min

n =	In		V₂		=	In	75
			V₁				100

	In		T₁			In		10

			T₂					30

n =	- 0.2876
	- 1.09

n = 0.262