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If S is the length of a sub-chord and R is the radius of circular curve, the angle of deflection between the tangent and sub-chord in minutes, is equal to-
- a)573 S/R
- b)573 R/S
- c)1718.9 S/R
- d)1718.9 R/S
Correct answer is option 'C'. Can you explain this answer?
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If S is the length of a sub-chord and R is the radius of circular cur...
Rekin's method works on the principle that the deflection angle at a point of the circle curve is measured by the angle of the angle subtended by the arc at that point from PC. It is assumed that the arc length is approximately equal to its arc.
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If S is the length of a sub-chord and R is the radius of circular cur...
Angle of Deflection Formula
The formula to calculate the angle of deflection between the tangent and sub-chord of a circular curve is as follows:
Angle of Deflection (in minutes) = 573.0 x S / R
Where S is the length of the sub-chord and R is the radius of the circular curve.
Explanation
The angle of deflection is the angle between the tangent and sub-chord of a circular curve. It is measured in minutes, where one minute is equal to 1/60th of a degree.
To calculate the angle of deflection, we need to know the length of the sub-chord and the radius of the circular curve. The sub-chord is the straight line that connects two points on the circular curve. The radius of the circular curve is the distance from the center of the circle to any point on the curve.
The formula to calculate the angle of deflection is derived from the formula for calculating the central angle of a circle. The central angle is the angle subtended by an arc of the circle at the center of the circle. It is calculated as follows:
Central Angle (in degrees) = Arc Length / Radius
In this case, the arc length is equal to the length of the sub-chord, and the radius is the radius of the circular curve. To convert the central angle from degrees to minutes, we multiply it by 60.
Therefore, the formula for calculating the angle of deflection is:
Angle of Deflection (in minutes) = Central Angle (in degrees) x 60
= (Arc Length / Radius) x 60
= (S / R) x 3437.75
= 573.0 x S / R
Conclusion
The angle of deflection between the tangent and sub-chord of a circular curve can be calculated using the formula: Angle of Deflection (in minutes) = 573.0 x S / R, where S is the length of the sub-chord and R is the radius of the circular curve. This formula is derived from the formula for calculating the central angle of a circle.
The formula to calculate the angle of deflection between the tangent and sub-chord of a circular curve is as follows:
Angle of Deflection (in minutes) = 573.0 x S / R
Where S is the length of the sub-chord and R is the radius of the circular curve.
Explanation
The angle of deflection is the angle between the tangent and sub-chord of a circular curve. It is measured in minutes, where one minute is equal to 1/60th of a degree.
To calculate the angle of deflection, we need to know the length of the sub-chord and the radius of the circular curve. The sub-chord is the straight line that connects two points on the circular curve. The radius of the circular curve is the distance from the center of the circle to any point on the curve.
The formula to calculate the angle of deflection is derived from the formula for calculating the central angle of a circle. The central angle is the angle subtended by an arc of the circle at the center of the circle. It is calculated as follows:
Central Angle (in degrees) = Arc Length / Radius
In this case, the arc length is equal to the length of the sub-chord, and the radius is the radius of the circular curve. To convert the central angle from degrees to minutes, we multiply it by 60.
Therefore, the formula for calculating the angle of deflection is:
Angle of Deflection (in minutes) = Central Angle (in degrees) x 60
= (Arc Length / Radius) x 60
= (S / R) x 3437.75
= 573.0 x S / R
Conclusion
The angle of deflection between the tangent and sub-chord of a circular curve can be calculated using the formula: Angle of Deflection (in minutes) = 573.0 x S / R, where S is the length of the sub-chord and R is the radius of the circular curve. This formula is derived from the formula for calculating the central angle of a circle.
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If S is the length of a sub-chord and R is the radius of circular curve, the angle of deflection between the tangent and sub-chord in minutes, is equal to-a)573 S/Rb)573 R/Sc)1718.9 S/Rd)1718.9 R/SCorrect answer is option 'C'. Can you explain this answer?
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If S is the length of a sub-chord and R is the radius of circular curve, the angle of deflection between the tangent and sub-chord in minutes, is equal to-a)573 S/Rb)573 R/Sc)1718.9 S/Rd)1718.9 R/SCorrect answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about If S is the length of a sub-chord and R is the radius of circular curve, the angle of deflection between the tangent and sub-chord in minutes, is equal to-a)573 S/Rb)573 R/Sc)1718.9 S/Rd)1718.9 R/SCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If S is the length of a sub-chord and R is the radius of circular curve, the angle of deflection between the tangent and sub-chord in minutes, is equal to-a)573 S/Rb)573 R/Sc)1718.9 S/Rd)1718.9 R/SCorrect answer is option 'C'. Can you explain this answer?.
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