City Guilds Model Questions Vol1 2017 Engineering Question 38
Practice objective / multiple choice question 38 from the 2017 City Guilds Model Questions Vol1 Engineering examination.
A CNC turning operation uses a carbide tool whose life follows Taylor's equation \(V T^{n}=C\) with \(n=0.25\) and \(C=200\) (where \(V\) is cutting speed in m min\(^{-1}\) and \(T\) is tool life in minutes). The machining time for a part is inversely proportional to the cutting speed, \(t = \dfrac{K}{V}\) with \(K=30\). The tool costs \$150 and the machining labour cost is \$0.05 per minute. Determine the cutting speed \(V\) (in m min\(^{-1}\)) that minimises the total cost per part (machining cost plus tool cost allocated to the part). Give the optimal speed to the nearest whole metre per minute.
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About This Question
This is City Guilds Model Questions Vol1 2017 Engineering Question 38. It is one of the objective questions from the 2017 City Guilds Model Questions Vol1 Engineering examination.
Difficulty level: Hard .
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