GATE 2023 PI – Question 55
A CNC waterjet cuts the shortest straight slot from (2,1) to (10,10) in the XY plane, coordinates in mm. Feed rate is 1.5 mm/s. Find machining time in seconds to two decimals.
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Correct answer: 8.00 to 8.10
Explanation
Length is $\sqrt{(10-2)^2+(10-1)^2}=\sqrt{145}$ mm. Time = length/feed = $\sqrt{145}/1.5=8.0277$ s, or **8.03 s**.