City Guilds Model Questions Vol1 2017 Engineering Question 47
Practice objective / multiple choice question 47 from the 2017 City Guilds Model Questions Vol1 Engineering examination.
A turning operation on a steel workpiece uses a carbide insert. The tool‑life relationship is \(VT^{n}=C\) with \(n=0.25\) and \(C=5000\). The cutting power required is given by \(P=\dfrac{k_{c}\,a\,f\,V}{60}\) (kW), where \(k_{c}=2\text{ N/mm}^{2}\), depth of cut \(a=2\text{ mm}\), feed per rev \(f\) (mm/rev) and cutting speed \(V\) (m/min). The machine's maximum power is \(5\) kW. Surface roughness is approximated by \(R_{a}=\dfrac{f^{2}}{32r}\) (mm) with nose radius \(r=0.8\) mm and the requirement \(R_{a}\le1.5\) µm. Determine the greatest cutting speed that satisfies both the power limit and the surface‑finish requirement, and then compute the expected tool life at that speed.
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This is City Guilds Model Questions Vol1 2017 Engineering Question 47. It is one of the objective questions from the 2017 City Guilds Model Questions Vol1 Engineering examination.
Difficulty level: Hard .
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