Lathe taper turning methods: The tailstock set-over method is best suited for which kind of taper?

Introduction / Context:
Several methods can generate tapers on a lathe: compound rest swiveling, taper attachment, form tools, and tailstock set-over. Each has a best-fit use case regarding taper length, angle, rigidity, and finish.

Given Data / Assumptions:

• Taper turning on a conventional engine lathe.
• Work held between centers so the tailstock can be offset.
• Need to maintain good surface finish over a long length.

Concept / Approach:
The tailstock set-over method offsets the tailstock centerline by a small amount, causing the workpiece axis to be inclined relative to the carriage motion. This naturally produces a gentle taper along the full length between centers, ideal for long, slender external tapers where small taper angles and good support are needed.

Step-by-Step Solution:

Verification / Alternative check:
Handbooks indicate compound rest is quicker for short/steep tapers; taper attachment for precise control; set-over for long mild tapers with full center support.

Why Other Options Are Wrong:
Internal tapers: set-over does not suit boring operations well.Small/steep short tapers: compound rest or form tool is more efficient and precise.

Common Pitfalls:
Excessive offset causing center loading and poor finish; forgetting to realign the tailstock afterward.

Final Answer:

Long, slender external tapers