Which is flatter Kansas or a pancake Define flatness as the

Which is flatter, Kansas or a pancake? Define \"flatness\" as the ratio of the total elevation change across an object to its full width or full diameter, such that a ratio of zero is perfectly flat.

Solution

Answer:-

It is not so easy to determine the \"What is the Flatter Kansas or Pancake.?

let us discuss about the One Common method for determining a Flatness in Geodetic survey is \"Flattering Ratio\"

f = (a-b)/a

a-Semi-major axis

b- measured semi -major axis

we can say that a perfectely flat surface have a flattening ratio is 1.

let us try a analysis by using a Pancake.

we have purchased a well coocked Pancake and cut a piece of 2cm wide sample.

now collect a macro-pancake topography by digital image processing and measured it by ruler scale.

now we have to collect one more topographic profile of sample. by confocal laser microscope at one elevation point at every 10 mm and maximum surface 2 cm diameter.

now we have to measure a Kansas propfile in west-east across a Kansas at 1:250000 scale by using a Digital elevation model. we should maintain a spacing of in between elevation is 90 meters.

after this analysis by mathematical we got a value of 1.000 indicate a surface flat. \'platonic flatness\" for Kansas. and for Pancake flatness determined is 0.957, it is look like a flat but not perfectely flat.

so we can state that the Kansas is flatter than a Pancake.