In a typical metal cutting operation- using a cutting tool with a positive rake - -10o- it is observed that the shear angle was 20o- The friction angle is

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In a typical ...

Question

In a typical metal cutting operation, using a cutting tool with a positive rake $α = 10^{o}$ , it is observed that the shear angle was $20^{o}$ . The friction angle is

45^{o}

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30^{o}

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60^{o}

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40^{o}

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Solution

The correct option is C $60^{o}$
$α = 10^{o}, ϕ = 20^{o}$
Here typical cutting operation means that
Merchant's theory is valid
$2 ϕ + β - α = 90^{o}$
$β = 90^{o} + α - 40^{o} = 60^{o}$

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In a typical metal cutting operation, using a cutting tool with a positive rake α=10o, it is observed that the shear angle was 20o. The friction angle is

The correct option is C 60oα=10o,ϕ=20o Here typical cutting operation means that Merchant's theory is valid 2ϕ+β−α=90o β=90o+α−40o=60o

In a typical metal cutting operation, using a cutting tool with a positive rake $α = 10^{o}$ , it is observed that the shear angle was $20^{o}$ . The friction angle is

The correct option is C $60^{o}$
$α = 10^{o}, ϕ = 20^{o}$
Here typical cutting operation means that
Merchant's theory is valid
$2 ϕ + β - α = 90^{o}$
$β = 90^{o} + α - 40^{o} = 60^{o}$