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A circular curve of radius R connects two straights with a deflection angle of 60°. The tangent length is
  • a)
    0.577 R
  • b)
    1.155 R
  • c)
    1.732 R
  • d)
    3.464 R
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A circular curve of radius R connects two straights with a deflection ...

Tangent length

= R tan 30° = 0.577 R
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Most Upvoted Answer
A circular curve of radius R connects two straights with a deflection ...
To find the length of the circular curve, we need to know the radius of the curve and the deflection angle. In this case, the radius is given as R and the deflection angle is 60 degrees.

The formula for the length of a circular curve is:

Length = (Deflection angle / 360) x (2πR)

Plugging in the given values, we have:

Length = (60 / 360) x (2πR)

Simplifying the fraction, we get:

Length = (1 / 6) x (2πR)

Multiplying the fractions, we have:

Length = (2πR) / 6

Simplifying further, we get:

Length = πR / 3

Therefore, the length of the circular curve connecting the two straights is πR / 3.
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A circular curve of radius R connects two straights with a deflection angle of 60°. The tangent length isa)0.577 Rb)1.155 Rc)1.732 Rd)3.464 RCorrect answer is option 'A'. Can you explain this answer?
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