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How to Calculate the radius of curvature from a set of x y co-ordinates?
Wiki User
∙ 15y ago
Given a set of x and y coordinates, fit a curve to it using statistical techniques. The radius of curvature for the set of points is the radius of curvature for this arc. To find that, the curve must be differentiable twice. Let the curve be represented by the equation y = y(x) and let y' and y" be the first and second derivatives of y(x) with respect to x.
Then R = abs{(1 + y'^2)^(3/2) / y"} is the radius of curvature.
Wiki User
∙ 9y ago
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What are governing equations of french curve shapes?
The french curve is a set of segments of Euler spirals, also known as clothoids. The curvature of a clothoid varies linearly along its length. If you start at the least curved end of one of the segments (curvature closest to zero) there will be a declining radius of curvature as you go until you reach the end of that segment. The french curve set has several segments with different rates of curvature change.
What are the Applications of radius of curvature in railways?
The radius of curvature in railways quantifies how fast the track is changing direction. It is the radius of a circle that matches the particular section of track involved. This information is important for many reasons. It is used to calculate the maximum speed that a train can have when entering the curve. Part of this is knowing how rapidly the radius changes - usually a curved section of track is gradually tightened up so that the left-right acceleration of the train does not change suddenly. It is used to calculate the maximum deviation from centerline that a train will have going through the curve, due to the fact that each car has a set distance between wheels and the car will be a chord on the circle of track. That has application in positioning platforms in relation to tracks, and in positioning curved tracks that are adjacent to other curved tracks.
What is the name given to a set of coordinates?
The name given to a set of coordinates is "coordinate system".
How can you calculate the latitude and longitude of given piece of land?
You can't calculate it, any more than you can calculate the address of a house. You need to either find it on a map that has geographic coordinates marked on it, or else read it off of a GPS receiver that you carry to that place. A land surveyor does 'calculate' the coordinates in one sense, but not in the way you're thinking. He measures the location of the unknown place relative to marks or objects whose coordinates he looks up in a publication for surveyors, and then he calculates the effect of the offset he has measured. And one additional comment: A "piece of land" doesn't have latitude and longitude. A set of coordinates describes a single point. Each corner of a piece of land, as well as every other point within its boundaries, has a unique set of coordinates.
A set of ordered pairs?
Coordinates
What two parts should be included in every set of coordinates?
the X and Y coordinates
The set of all x-coordinates of a relation is called?
The set of all the x-coordinate is called The Range. * * * * * Though more often, the x-coordinates are called the DOMAIN (and the y-coordinates are the RANGE).
What is the relation of a set of y-coordinates?
the range
How do you set the coordinates to the hyperium in aqw?
525,275
What is meant by Piecewise linear interpolation?
Interpolation in general is a way to determine intermediate values from a set of coordinates. Linear interpolation would be to fit a single linear function to the entire set of coordinates. Piecewise linear interpolation would then be to determine intermediate values from the set of coordinates by fitting linear functions between each set of coordinates. Connect-the-dots so to speak.
What is the radius of the circle that has a set their area of 66.99?
Radius is approximately 4.6177
Which set of polar coordinates describes the same location as the rectangular coordinates (1,-1)?
(sqrt2, 315)
