Question

A CNC milling machine has to cut a slot located between the points (0, 0) and (4, 3) on the XY-plane where the dimensions are in mm. If the speed along the slot is to be 2.54 mm/sec, then the cutting time (sec) axial velocities (mm/sec) _____.

• A. 0.01
• B. 0.09
• C. 0.15
• D. 0.06

Answer 1

The correct option is D 0.06

Distance travelled along the slot

= (16 + 9)${}^{1/2}$ =127 mm

Cutting time = 127/2.54 = 50 sec

$V_x=xV(x^2+y^2{)}^{1/2}=4(2.54)/127$

= 0.08 mm/sec

$V_y=yV(x^2+y^2{)}^{1/2}=3(2.54)/127$

= 0.06 mm/sec