GATE Mechanical Engineering (ME) 2018 Shift 1 Solved Paper

Question : 16 of 65

Marks: +1, -0

Using the Taylors tool life equation with exponent

n=0.5

, if the cutting speed is reduced by

50 \%

the ratio of new tool life to original tool life is

Solution:

Taylor's Tool life equation is VT"=Constant
Let subscript 1 represent the initial conditions and subscript 2 represent the final conditions.

V_{2}=\;{V_{1}}/{2}

V_{1} T_{1}^{0.5} \;\; =V_{2} T_{2}^{0.5}

V_{1} T_{1}^{0.5} \;\; =\;{V_{1}}/{2} ⋅ T_{2}^{0.5}

(\;{T_{2}}/{T_{1}})^{0.5} \;\; =2

\;{T_{2}}/{T_{1}} \;\; =2^{\;{1}/{0.5}}=4

Go to Question:

Prev Question

Next Question