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

Question 1 / 205eccef9abacbc34ba4d450ca

Question 1 of 205eccef9abacbc34ba4d450ca

As shown in the illustration, a section of standard weight, seamless steel pipe, has an external diameter of 5.2 inches. When the pipe, is bent into a 90 degree 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

• Relationship between arc length and radius for a circular bend • How the outside edge and inside edge of the pipe form two concentric quarter-circles • The pipe diameter (5.2 in) as the distance between the outside and inside radii

💭 Think About

• Sketch two quarter-circles: one for A–B (outside) and one for C–D (inside). What are their radii in terms of the neutral bend radius and the pipe diameter? • Write the arc-length formula for each edge using ( L = 2\pi R \times \frac{\theta}{360^\circ} ) with (\theta = 90^\circ). What happens when you subtract inner length from outer length? • Notice that both arcs are the same fraction of a full circle. How does that affect which terms cancel when you find the difference?

✅ Before You Answer

• Be sure you are using 90° (one quarter of a circle) in the arc length formula, not 180° or 360°. • Confirm that the difference in radii between the outer and inner edges is exactly the pipe diameter (5.2 in), not the radius. • After simplifying, check whether the difference in lengths depends on the actual bend radius or only on the pipe diameter—this will help you test if your expression makes sense.

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Question 1 of 20

7.980 inches

8.168 inches

13.168 inches

16.127 inches

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Question 1 / 205eccef9abacbc34ba4d450ca

Question 1 of 205eccef9abacbc34ba4d450ca

Back

Question 1 of 20

5eccef9abacbc34ba4d450ca

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If the question has a related picture, it will appear here.

🔍 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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