A single point cutting tool can be used upto 15 hours at 65 m/min. If Taylor’s constant C = 300, calculate the percentage reduction in tool life on doubling the cutting velocity.

In an orthogonal cutting, rake angle of the tool is 25◦ and friction angle is 27◦. Using Merchant’s shear angle relationship, calculate the value of shear angle.

Determine the time required in drilling a 8 mm diameter hole through a 24 mm thick mild steel plate with a drill bit running at 360 rpm and a feed of 0.5 mm per revolution.

Through holes of 12 mm diameter are to be drilled in a steel plate of 25 mm thickness. Drill spindle speed is 240 rpm, feed 0.25 mm/rev and drill point angle is 120◦. Assuming drill over travel of 3 mm,

calculate the time for producing the hole.

A machining operation producing chip thickness ratio is 0.35 when back rake angle is 15◦. Determine the shear strain in work material.

The rake angle of a cutting tool is 10◦, shear angle 35◦ and cutting velocity 25 m/min. Calculate the velocity of chip along the tool face.

In a turning operation with orthogonal machining, the spindle rotates at 240 rpm and tool is fed at rate of 0.2 mm per revolution. The depth of the cut is 0.5 mm. The rake angle is 10◦ and shear angle is 35◦. Using Merchant’s theory, determine the chip-thickness and coefficient of friction.

A batch of 10 cutting tools could produce 500 components while working at 50 rpm with a tool feed of 0.25 mm/rev and depth of cut of 1 mm. A similar batch of 10 tools of the same specification could produce 122 components while working at 80 rpm with a feed of 0.25 mm/rev and 1 mm depth of cut. How many components can be produced

with one cutting tool at 60 rpm?

In the above problem, the coefficient of friction at the chip tool interface obtained using Ernst and Merchant theory is