the railway is in the shape of an arch, at an angle of 28 . if the radius of the inner edge is 28.55m and the width of the railway is 1.44m, find the difference in length of the outer and the inner edge of the railway
Answers
Given : The railway is in the shape of an arch, at an angle of 28 °.
the radius of the inner edge is 28.55m and the width of the railway is 1.44m,
To find : the difference in length of the outer and the inner edge of the railway
Solution:
inner radius = 28.55 m
outer radius = 28.55 + 1.44 = 29.99 m
Difference in length of the outer and the inner edge of the railway
= ( angle / 360°) 2π ( outer radius - inner radius )
= ( 28/360 ) * 2 * π ( 29.99 - 28.55)
= ( 28/360 ) * 2 * π * 1.44
= ( 28/360 ) * 2 * (22/7) * 1.44
= 0.704 m
the difference in length of the outer and the inner edge of the railway = 0.704 m
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