Discussion
What is the offset to be given to produce taper in a tailstock offset method, if the bigger diameter is 50 mm and the small diameter is 40 mm, length of taper is 100 mm and total length of job is 200 mm
Answer: A
The tailstock offset is 10 mm.
When only part of the job is tapered, the offset is worked out over the whole length between centres:
\[ \begin{aligned} \text{offset} &= \frac{D - d}{2} \times \frac{L}{l} \\ &= \frac{50 - 40}{2} \times \frac{200}{100} = 5 \times 2 = 10\ \text{mm} \end{aligned} \]
Here L is the total length of the job and l the length of the taper. 5 mm would be right only if the taper ran the full length of the job, and 2.5 mm and 20 mm come from halving or doubling it again by mistake.
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