City Guilds Model Questions Vol1 2017 Engineering Question 4
Practice objective / multiple choice question 4 from the 2017 City Guilds Model Questions Vol1 Engineering examination.
In a turning operation on a steel workpiece, the tool‑life relationship is given by \(V T^{0.25}=200\), where \(V\) is the cutting speed in m min⁻¹ and \(T\) is the tool life in minutes. The material removal rate is proportional to the cutting speed: \(\text{MRR}=kV\) with \(k=0.0005\) m³ min⁻¹ (m min⁻¹)⁻¹. Each part requires removal of \(0.02\) m³ of material. The tool costs \$50 and the machine hourly cost is \$30. Determine the cutting speed \(V\) (in m min⁻¹) that minimises the cost per part, and compute the corresponding minimum cost per part (in dollars).
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About This Question
This is City Guilds Model Questions Vol1 2017 Engineering Question 4. It is one of the objective questions from the 2017 City Guilds Model Questions Vol1 Engineering examination.
Difficulty level: Hard .
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