Practice 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. - 2.49 | 2. Exercises for Practice | Surveying and Geomatics
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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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Question 1

Easy

Define the term 'radius' in the context of a circular curve.

💡 Hint: Think about the distance from the center to the edge.

Question 2

Easy

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

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is the radius of a circular curve?

  • A. Distance of curve
  • B. Distance from center to curve
  • C. Angle subtended at center

💡 Hint: Think about the circular nature of the definition.

Question 2

The degree of curve indicates what?

  • True
  • False

💡 Hint: Reflect on how sharpness can be measured quantitatively.

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Challenge Problems

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Question 1

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.

Question 2

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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