The length L of a cable between two vertical supports of a suspension bridge is

Question

The length L of a cable between two vertical supports of a suspension bridge is given by Where r is the span of the supports and s is the sag of the cable between the supports. If r = 400 feet and L = 404 feet, approximate the sag s of the cable to an accuracy of two decimal places. (Hint: Consider the interval [20,30]) suspension bridge is given by The length L of a cable between two vertical supports of a 32 of the cable between t s of the cable to an accuracy of If r two decimal Where r is of the supports and s i s the sag 400 feet and L 404 feet, app e the sag the interval [20,30])

Explanation / Answer

L= r+(8s2)/3r -(32s4)/5r3

404= 400 +(8s2)/(1200) -(32s4)/320000000

4=(8s2)/(1200) -(32s4)/320000000

s=24.61

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