Question:

A. The diameter at the thin end of the log determines the sawn volume that can be taken out of it, the greater the rate of taper, the lesser is the length of the log.
D. The diameter at the thick end of the log determines the sawn volume that can be taken out of it, the greater the rate of taper, the greater is the length of the log.
(Choose the correct answer from the options given below based on log taper logic)

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In timber measurement, always focus on the thin end. It dictates the usable size. High taper is an enemy of lumber recovery; hence, we cut tapered trees into shorter logs.
  • A and D only
  • A and B only
  • A and C only
  • A only
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The Correct Option is D

Solution and Explanation

Step 1: Understanding the Question:
The question asks about the relationship between log taper (the rate at which a log's diameter decreases from the thick end to the thin end) and the recovery of sawn timber.

Step 2: Detailed Explanation:


Commercial Utility: In sawmill operations, when a round log is converted into square or rectangular lumber, the "thin end" diameter acts as the limiting factor. Any material outside the cylinder defined by the thin-end diameter is lost as slabs or waste.

Impact of Taper: If a log has a very high rate of taper (it narrows quickly), the difference between the thick end and thin end is large. To get a standard-sized beam without too much waste, the length of the log must be kept shorter. Longer logs with high taper result in excessive loss at the thick end.

Statement A analysis: "The diameter at the thin end determines the sawn volume... greater taper, lesser is the length of the log." This is a fundamental principle of timber conversion. A smaller thin-end diameter limits the maximum width/thickness of boards, and high taper necessitates short logs to maximize recovery. This statement is correct.

Statement D analysis: Suggests the thick end determines volume and greater taper allows greater length. This is incorrect because the thick end contains "slabbing" waste, and increasing length in high-taper logs increases waste exponentially.

Step 3: Final Answer:

Only Statement A is logically and technically correct in the context of log volume and taper.
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