City Guilds Model Questions Vol1 2025 Engineering Question 37

Practice objective / multiple choice question 37 from the 2025 City Guilds Model Questions Vol1 Engineering examination.

City Guilds Model Questions Vol1 2025 Engineering Objective / Multiple Choice Hard Difficulty
Question 37 CITY_GUILDS_MODEL_QUESTIONS_VOL1 • 2025 • ENGINEERING • objective

A CNC milling operation uses a cutting speed \(V\) (in m min\(^{-1}\)). Tool life follows Taylor's equation \(V\,T^{0.25}=200\). At a speed of \(100\) m min\(^{-1}\) the machining time for one part is \(0.6\) min, and machining time varies inversely with speed. The tool costs $50 and is replaced after its life; the cost of the tool is allocated proportionally to the machining time. To keep production efficient the machining time per part must not exceed \(0.5\) min. Determine the cutting speed that minimises the cost per part and compute that minimum cost (in dollars, to two decimal places).

Answer Options

A. 110 m/min, $3.50
Correct Answer B. 120 m/min, $3.24
C. 100 m/min, $4.00
D. 130 m/min, $3.10
Correct Answer
B
Correct Option:
120 m/min, $3.24

About This Question

This is City Guilds Model Questions Vol1 2025 Engineering Question 37. It is one of the objective questions from the 2025 City Guilds Model Questions Vol1 Engineering examination.

Difficulty level: Hard .

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