City Guilds Model Questions Vol1 2018 Engineering Question 47

Practice objective / multiple choice question 47 from the 2018 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2018 Engineering Objective / Multiple Choice Hard Difficulty
Question 47 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2018 • ENGINEERING • objective

A CNC turning operation uses a carbide insert whose tool‑life relationship is \(VT^{n}=C\) with \(n=0.20\) and \(C=500\). The cutting speed \(V\) (in m·min⁻¹) therefore gives a tool life \(T=500V^{-0.20}\) minutes. The machining time per part is \(t = 120V^{-0.5}\) minutes. Power consumption adds a cost of \$0.02V\) per minute of machining. The machine's depreciation cost is \$150 per hour and a new insert costs \$30. Determine the cutting speed (to the nearest whole m·min⁻¹) that minimises the total cost per part, where total cost per part = machine cost + power cost + tool cost per part.

Answer Options

A. 150 m·min⁻¹
B. 140 m·min⁻¹
C. 120 m·min⁻¹
Correct Answer D. 130 m·min⁻¹
Correct Answer
D
Correct Option:
130 m·min⁻¹

About This Question

This is City Guilds Model Questions Vol1 2018 Engineering Question 47. It is one of the objective questions from the 2018 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Hard .

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