Q
QuestionEngineering

What is the multiplier for an offset using 30 -degree bends? A. 2.5 B. 2.0 C. 1.732 D. 1.155
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Answer

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Step 1:
I'll solve this systematically:

Step 2:
: Understand the Problem

The problem is asking about the multiplier for an offset using 30 -degree bends. This typically relates to conduit or pipe bending calculations in electrical or mechanical trades.

Step 3:
: Recognize the Trigonometric Relationship

For a 30 -degree bend, we need to calculate the multiplier using trigonometric principles. The key trigonometric function here is the tangent.

Step 4:
: Calculate the Multiplier

\text{Multiplier} = \frac{1}{\tan(30^\circ)}
The multiplier for a 30 -degree bend can be calculated using the tangent function:

Step 5:
: Evaluate the Calculation

\text{Multiplier} = \frac{1}{0.577} = 1.732

Step 6:
: Verify the Options

Looking at the given choices, 1.732 corresponds to option C.

Final Answer

Key Insights: - The multiplier is derived from the trigonometric tangent of 30 degrees - This is a standard calculation in offset bending for conduits or pipes - The precise value comes from the reciprocal of \tan(30^\circ)