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Which type of surface is produced in case of deviation from parallelism of spindle axis from bed in vertical axis?

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Which type of surface is produced in case of deviation from parallelism of spindle axis from bed in vertical axis?

(a) Tapered

(b) Straight

(c) Threaded

(d) Hyperboloid

I have been asked this question by my school principal while I was bunking the class.

The query is from Alignment Tests on Lathe topic in chapter Machine Tool Metrology of Engineering Metrology

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Right answer is (d) Hyperboloid

Easy explanation: A hyperboloid surface is produced due to any type of deviation from parallelism of axis of spindle from bed in the vertical axis. For this test, a mandrel is fitted in the taper socket of the spindle.

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