How do you find the radius of the Earth at a given latitude?
Multiply the tangent of the latitude by b/a; that gives you the tangent of the reduced latitude. Multiply the tangent of the reduced latitude by b/a to get the tangent of the geocentric latitude. (earth’s equatorial radius times the cosine of the reduced latitude) divided by the cosine of the geocentric latitude.
How do you calculate the radius of the earth?
Compute the radius of the earth using the formula C (circumference) = 2 x pi x r (radius). Erastosthenes’ formula would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers.
How do you calculate the circumference of the Earth at different latitudes?
Circumference of a circle is equal to 2πr where r is it’s radius. On the Earth, the circumference of the sphere at a given latitude is 2πr(cos θ) where θ is the latitude and r is the radius of the Earth at the equator.
What is the circumference of the Earth at 45 degrees latitude?
At the equator, the circumference of the Earth is 40,070 kilometers, and the day is 24 hours long so the speed is 1670 kilometers/hour ( 1037 miles/hr). This decreases by the cosine of your latitude so that at a latitude of 45 degrees, cos(45) = . 707 and the speed is . 707 x 1670 = 1180 kilometers/hr.
What is the radius of the Earth at sea level?
Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. It is 6356.752 km (3949.903 mi) at the poles and 6371.001 km (3958.756 mi) on average. The height above sea level of the location is added.
What is the radius of Earth Class 11?
The radius of the earth is 6370 km and of mass is 3400 km if an object of 2000N on earth what will be the weight on mars the mass of mars is 0.11 on earthearth. At what distance above the surface of earth, the gravitational force will be reduced by 10%, if the radius of earth is 6370 Km.
How much does the Earth’s radius vary?
The scientists estimated the average change in Earth’s radius to be 0.004 inches (0.1 millimeters) per year, or about the thickness of a human hair, a rate considered statistically insignificant.
What is the circumference of the Earth at 40 degree latitude?
30,600 kilometers
Circumference of the Earth at 40-deg North = 30,600 kilometers.
What is the radius of Earth in physics?
All three values are about 6,371 kilometres (3,959 mi). Other ways to define and measure the Earth radius involve the radius of curvature….
| Earth radius | |
|---|---|
| Metric system | 6,357 to 6,378 km |
| English units | 3,950 to 3,963 mi |
Is the radius of the earth the same everywhere?
Complete answer: No, the radius of the earth is not the same everywhere. The radius of Earth at the poles (polar radius) is 3,950 miles/6,356 km and rises to 3,963 miles/6,378 km at the equator.
What is the radius of the Earth?
Earth Radius by Latitude Calculator. Earth isn’t a perfect sphere, but is oblate at its poles, due to its rotation. Therefore, the Earth radius isn’t constant, but it can be calculated for every location. For this calculation, the longitude isn’t needed. Mathematically, Earth is a spheroid. Earth radius at sea level is 6378.137 km (3963.191 mi)…
How do you convert decimal degrees to radians?
“Degrees + (Minutes + Seconds/60)/60. Then, decimal degrees are converted to radians – “Degrees * Pi/180”. If we are talking about Earth coordinates, we also have to consider a sign.
How do you find the radius of a geodetic point?
Geodetic latitude is determined by the angle between the equatorial plane and normal to the ellipsoid. In contrast, the geocentric latitude is determined by the angle between the equatorial plane and line joining the point to the ellipsoid center (see figure). So, to find the radius, we need to relate geodetic latitude to geocentric latitude .
How do you find the radius of curvature of the Earth?
Diagrams of Radii of Earth. The radius of curvature for the latitude is found by extending the line perpendicular to the ellipsoid (the geodetic vertical) down unti l it hits the polar axis. Perpendicular is also called “normal” in mathematics. Thus the subscript “N” is used for this curvature.