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If the distance between the centers of two parallel tracks of 2.35 m is 7.35 m with entire curved leads and equal angles of crossing, the total length of crossover is _________ m. (Answer up to two decimal places)
    Correct answer is '4.41'. Can you explain this answer?
    Most Upvoted Answer
    If the distance between the centers of two parallel tracks of 2.35 m ...
    Total Length of Crossover = Length of Curved Leads + Distance between Centers of the Tracks

    Length of Curved Leads:
    The length of the curved leads can be determined by calculating the arc length of the crossing tracks. Since the tracks are parallel and have equal angles of crossing, the arc length can be calculated using the formula:

    Arc Length = (Angle of Crossing / 360) * 2 * π * Radius

    In this case, the distance between the centers of the tracks is given as 7.35 m. Since the tracks are parallel, the radius of the curved leads is half of this distance, i.e., 7.35 / 2 = 3.675 m.

    The angle of crossing is not given directly, but it can be determined using the properties of parallel lines and transversals. When two parallel lines are intersected by a transversal, the alternate interior angles are equal. In this case, the tracks are the parallel lines and the transversal is the crossover. Since the angles of crossing are equal, we can consider one of them. Let's assume the angle of crossing is θ.

    Now, the arc length of the curved leads can be calculated as:

    Arc Length = (θ / 360) * 2 * π * 3.675

    Distance between Centers of the Tracks:
    The distance between the centers of the tracks is given as 7.35 m.

    Total Length of Crossover:
    The total length of the crossover is the sum of the length of curved leads and the distance between the centers of the tracks.

    Total Length of Crossover = Length of Curved Leads + Distance between Centers of the Tracks

    Total Length of Crossover = (θ / 360) * 2 * π * 3.675 + 7.35

    Given that the distance between the centers of the tracks is 7.35 m, we can solve for θ.

    7.35 = (θ / 360) * 2 * π * 3.675 + 7.35

    Simplifying the equation:

    (θ / 360) * 2 * π * 3.675 = 0

    θ = 0

    Substituting the value of θ back into the equation for the total length of the crossover:

    Total Length of Crossover = (0 / 360) * 2 * π * 3.675 + 7.35
    = 0 + 7.35
    = 7.35

    Therefore, the correct answer is 7.35 m.
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    Community Answer
    If the distance between the centers of two parallel tracks of 2.35 m ...
    Given: D = 7.35 m and G = 2.35 m
    R = D/2
    = 7.35/2 = 3.675 m
    Total length of crossover is
    = 4.41 m
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    If the distance between the centers of two parallel tracks of 2.35 m is 7.35 m with entire curved leads and equal angles of crossing, the total length of crossover is _________ m. (Answer up to two decimal places)Correct answer is '4.41'. Can you explain this answer?
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    If the distance between the centers of two parallel tracks of 2.35 m is 7.35 m with entire curved leads and equal angles of crossing, the total length of crossover is _________ m. (Answer up to two decimal places)Correct answer is '4.41'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If the distance between the centers of two parallel tracks of 2.35 m is 7.35 m with entire curved leads and equal angles of crossing, the total length of crossover is _________ m. (Answer up to two decimal places)Correct answer is '4.41'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the distance between the centers of two parallel tracks of 2.35 m is 7.35 m with entire curved leads and equal angles of crossing, the total length of crossover is _________ m. (Answer up to two decimal places)Correct answer is '4.41'. Can you explain this answer?.
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