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Unformatted text preview: 19.14 What is the relationship between the coefficient of friction and the friction angle in the orthogonal cutting model? Answer . The relationship is that the coefficient of friction is the tangent of the friction angle ( μ = tan β ). 19.16 How is the power required in a cutting operation related to the cutting force? Answer . The power required in a cutting operation is equal to the cutting force multiplied by the cutting speed. 19.3 In an orthogonal cutting operation, the 0.62 cm wide tool has a rake angle of 5°. The lathe is set so the chip thickness before the cut is 0.025 cm. After the cut, the deformed chip thickness is measured to be 0.069 cm. Calculate (a) the shear plane angle and (b) the shear strain for the operation. Solution : (a) r = t o / t c = 0.25/0.068 = 0.3676 φ = tan-1 (0.3676 cos 5/(1 - 0.3676 sin 5)) = tan-1 (0.3783) = 20.7 ° (b) Shear strain γ = cot 20.7 + tan (20.7 – 5) = 2.646 + 0.281 = 2.927 19.21 In a turning operation on aluminum, cutting speed = 270 m/min, feed = 0.05 cm/rev, and depth of 19....
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- Fall '11