As shown in the illustration, a section of...

Question 1 / 205eccef9abacbc34ba4d450c5

Question 1 of 205eccef9abacbc34ba4d450c5

As shown in the illustration, a section of pipe with a 3.068 inch internal diameter, has a wall thickness of .216". When the pipe is bent into a 90° turn, the length of the outside edge of the curve "A-B" will exceed the length of the inside edge of the curve "C-D" by __________. See illustration GS-0108.

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🔍 Key Concepts

• Difference in arc length for a curve depends on angle in radians and the difference in radii • For any circle, arc length = radius × angle (in radians) • Relate pipe inside diameter, wall thickness, and outside diameter to find the radii of the inside and outside edges of the bend

💭 Think About

• First, compute the outside diameter of the pipe from the given internal diameter and wall thickness; how does that relate to the spacing between the inside and outside edges of the bend? • For a 90° bend, convert the angle to radians and then multiply by the difference between the outside and inside radii. What simple value does that radius difference reduce to? • After you find the theoretical difference in arc length, compare your numerical result to the answer choices and see which one it matches most closely.

✅ Before You Answer

• Be sure you are using 90° = π/2 radians in the arc-length formula, not 90 • Confirm that the difference in radii between the outside and inside edges of the curve equals the pipe’s outside diameter, based on the geometry of the bend • Use enough decimal places for π and for your diameter values so that your final result clearly matches only one of the listed answers

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Question 1 of 20

4.714 inches

5.054 inches

5.161 inches

5.498 inches

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Question 1 / 205eccef9abacbc34ba4d450c5

Question 1 of 205eccef9abacbc34ba4d450c5

Back

Question 1 of 20

5eccef9abacbc34ba4d450c5

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🔍 Key Concepts

💭 Think About

✅ Before You Answer

👋 Hi! I'm Genie, your AI study assistant. How can I help you with this question?

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