City Guilds Model Questions Vol1 2025 Engineering Question 19
Practice objective / multiple choice question 19 from the 2025 City Guilds Model Questions Vol1 Engineering examination.
In a turning operation 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 machine can operate at cutting speeds between 30 m·min\(^{-1}\) and 80 m·min\(^{-1}\). The machining time for each part is inversely proportional to the cutting speed and is described by \(t_{\text{part}} = \dfrac{8}{V}\) minutes. A batch of 500 parts must be produced. Each tool change takes 10 minutes. Determine the cutting speed that minimises the total production time and give that minimum time (to the nearest minute).
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About This Question
This is City Guilds Model Questions Vol1 2025 Engineering Question 19. It is one of the objective questions from the 2025 City Guilds Model Questions Vol1 Engineering examination.
Difficulty level: Hard .
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