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If the rate of change of radial acceleration of the transition curve is 30 cm/sec3, the radius is 200 m, and the velocity is 14 m/sec. The length of the transition curve is:
  • a)
    46.0 m
  • b)
    46.5 m
  • c)
    45.0 m
  • d)
    45.5 m
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If the rate of change of radial acceleration of the transition curve ...
Length of transition curve is given by.
Ls = V3/CR
C= rate of change of radial acceleration = 30m/sec3
Ls = 143/(0.3*200) = 45.73m
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Most Upvoted Answer
If the rate of change of radial acceleration of the transition curve ...
Given data:
- Rate of change of radial acceleration = 30 cm/sec^3
- Radius = 200 m
- Velocity = 14 m/sec

Calculating the length of the transition curve:
- First, we need to find the radial acceleration using the formula: a_r = v^2 / R, where a_r is the radial acceleration, v is the velocity, and R is the radius.
- Substituting the values, we get: a_r = (14)^2 / 200 = 0.98 m/sec^2
- Next, we convert the rate of change of radial acceleration from cm to m: 30 cm/sec^3 = 0.3 m/sec^3
- Now, we use the formula for the length of transition curve: L = v^3 / (a_r * a_r'), where a_r' is the rate of change of radial acceleration.
- Substituting the values, we get: L = (14)^3 / (0.98 * 0.3) = 46 meters
Therefore, the length of the transition curve is 46 meters, which corresponds to option 'A'.
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If the rate of change of radial acceleration of the transition curve is 30 cm/sec3, the radius is 200 m, and the velocity is 14 m/sec. The length of the transition curve is:a)46.0 mb)46.5 mc)45.0 md)45.5 mCorrect answer is option 'A'. Can you explain this answer?
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