2.49 - A right hand simple circular curve connects two straights AI and IB where A and B are the tangent points. The azimuth of each straight is 50° 43' 12" and 88° 22' 14", respectively. The curve passes through point C of coordinates (321.25, 178.1) m. If the coordinates of A are (240.40, 125.90) m, compute the radius of curve and degree of curve.
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Practice Questions
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Define the term 'radius' in the context of a circular curve.
💡 Hint: Think about the distance from the center to the edge.
What does the degree of curvature measure?
💡 Hint: Recall how angles are used to indicate the sharpness of turns.
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Interactive Quizzes
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What is the radius of a circular curve?
💡 Hint: Think about the circular nature of the definition.
The degree of curve indicates what?
💡 Hint: Reflect on how sharpness can be measured quantitatively.
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Challenge Problems
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A circular curve needs to be designed for safer navigation with a minimum radius of 300 m for a speed of 70 km/h. Calculate its degree of curvature.
💡 Hint: Utilize the degree calculation formula carefully.
Given two points on a curve, A(5,10) and C(10,15), calculate the curve radius step-by-step using the Euclidean distance formula.
💡 Hint: Focus on the relationship between the coordinates and apply the distance formula correctly.
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