A racetrack is often angled at the corners. Why is this done?
Question
A racetrack is often angled at the corners. Why is this done?
Solution
The angling of corners on a racetrack, also known as banking, is done for several reasons:
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Speed: Banking allows vehicles to maintain higher speeds through the corners. Without banking, vehicles would have to slow down significantly to safely navigate the corners.
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Safety: The banking angle helps to counteract the forces that can cause vehicles to lose control, particularly the centrifugal force that pushes vehicles outward in a turn. This makes the track safer for drivers.
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Visibility: Banking can also improve visibility for drivers. On a flat track, the vehicle in front can block the view of the road ahead. With banking, drivers can see more of the track in front of them.
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Comfort: Lastly, banking can make the ride more comfortable for the driver. The banking angle can help to offset the g-forces that drivers experience in a turn, which can be physically demanding over the course of a race.
Similar Questions
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What has been used to place this shape/path in its current position?*
To help with vehicle stability, the outer edge of a road in a curve is raised with respect to the inner edge. This is called superelevation and is specified as the difference in elevation divided by the width of the road. It needs to be higher for faster speeds and sharper curves.The radius of a curve is the radius of the section of a circle along the middle of the road where the curve is constant. See Figure 1 for a drawing of this.Figure 1: Section of a circle along the middle of a road with radius 𝑅.In some cases the curve may need a lower speed limit than straight portions of the road. The superelevation shouldn’t be more than about .12 to keep vehicles from sliding off the road in slippery conditions.Your job is to calculate the maximum speed on a curve given the radius of the curve and the superelevation.The maximum speed is given by this formula:𝑉=(𝑅∗(𝑆+.16))/.067,where 𝑉 is the max speed in miles per hour, 𝑅 is the radius of the curve in feet, and S is the superelevation.InputThe input is a series of lines terminated by end-of-file. Each line will be a test case consisting of 𝑅 and 𝑆 separated by whitespace. 𝑅 will be an integer greater than 99 and less than 5281 and 𝑆 will be a real number greater than .009 and less than 1.0. Neither will have leading zeros. There are at most 100 lines in input.OutputFor each test case output the maximum speed rounded to the nearest integer. It is guaranteed the answer before rounding will not be within 10−3 of a half-integer value.Sample Input 1 Sample Output 11433 .091433 .122000 .09600 .1273778650
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