math

posted by .

the lions gate bridge in vancuver BC, is a suspension bridge that spans 1516m. Large cables are attached to the tops of the towers, 50m above the road. the road is suspended from the large cables with small vertical cables, the smallest one being 2m. find a quadratic equation to model the large cable shape.

  • math -

    The cables of a suspension bridge do not follow the path of a parabola, but since that is what the question asks for ...

    centre is (2,0), one other point is (758,50)
    y = a(x-2)^2 + 0 , using the centre
    but (758,50) lies on it
    50 = a(756)^2
    a = 50/574564

    y = 25/287282(x-2)^2

    The cables of most suspension bridges form a
    "catenary" (from the Latin 'catena' for chain)

    the general equation is
    y = a/2(e^(x/a) + e^(-x/a))

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra II

    I'm confused.. 1. The cables of a suspension bridge are in the shape of a parabola. The towers supporting the cable are 600 feet apart and 80 feet high. If the cables touch the road surface midway between the towers, what is the height …
  2. Technology

    24. Explain the differences between the four major types of bridges. Include as part of your answer which bridge structure is the stronger. A bridge is a constructed structure vital for transportation. There are two types of bridges: …
  3. Algebra 2

    A bridge is designed with cables that connect two towers that rises above a roadway. Each cable is modeled by the function, H(x)=1/9000x2-7/15x+500, where x and h(x) are measured in feet. a. what is the height above the road of a cable …
  4. Math

    The Lions Gate bridge in Vancouver is a suspension bridge. The main span between the two towers, is 427m long. Large cables are attached to the ends of the both towers, 50m above the road. Each large cable forms a parabola. The road …
  5. Pre - Cal

    1. Find the vertex of the parabola: 4y^2+4y-16x=0 2. Find an equation of the parabola, opening down, with vertex (-3,1) and solution point (4,-5). 3. The main cables of a suspension bridge are 20 meters above the road at the towers …
  6. math

    In a suspension bridge, the shape of the suspension cables is parabolic. The bridge shown in the figure has towers that are 400 m apart, and the lowest point of the suspension cables is 100 m below the top of the towers. Find the equation …
  7. precalculus

    one section of a suspension bridge has its weight uniformly distributed between twin towers that are 400 feet apart and rise 90 feet above the horizontal roadway. a cable strung between the tops of the towers has the shape of a parabola, …
  8. analytic geometry

    The main cables of a suspension bridge uniformly distribute the weight of the bridge when in the form of a parabola. The main cables of a particular bridge are attached to towers that are 600 ft apart. The cables are attached to towers …
  9. Pre - Cal

    ) The main cables of a suspension bridge are 20 meters above the road at the towers and 4 meters above the road at the center. The road is 80 meters long. Vertical cables are spaced every 10 meters. The main cables hang in the shape …
  10. Pre calc quadratic stuff

    The main suspension bridge has cables in shape of a parabola. suppose pinte on tops of where towers and cables are attatched are 168 m apart and 24 m vertically above the minimum height. determine the quadratic function in vertex form …

More Similar Questions