What is the radius of Earth in meters? 149597870700 meters nearly This is 10-sd (significant digits) approximation. If you wish to convert a small difference of latitude or longitude into the linear distance on the surface of the earth, then the spherical earth equation would be, = = dE R cos d dN R d , Earth Radius by Latitude Calculator Calculates radius and diameter of the Earth for a given latitude. University of Texas: Eratosthenese Finds Diameter of Earth, Partner in a distant location on about the same longitude or in the same time zone. What is the formula of radius of nucleus? B The radius of a circle is the straight-line distance from the very center of the circle to any point on the circle. Enchanted Learning. + How cold is it on moon? R Earth radius conversions Convert Earth radius to other length and distance measurement units using a free online calculator for length/distance unit conversions. Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. {\displaystyle K=\kappa _{1}\,\kappa _{2}={\frac {\det \,B}{\det \,A}}} Earth's rocky mantle and metallic core make it the densest planet, at 5.513 grams per cubic centimeter. [21] The first known scientific measurement and calculation of the circumference of the Earth was performed by Eratosthenes in about 240BC. What is the radius of Earth in exponential form? Therefore, if the earth is taken to be a two dimensional object, its perimeter would be equal to the. The orbit is not a perfect circle. This cookie is set by GDPR Cookie Consent plugin. A body on the surface of a planet with the same radius as Earth's weighs 10 times more than it does on Earth. The reason for keeping those older values was GPS. In Eratosthenes case, the distance was 787 kilometers, so for him, the following relation applied: where x = the circumference of the Earth in kilometers. [13], Earth's authalic radius (meaning "equal area") is the radius of a hypothetical perfect sphere that has the same surface area as the reference ellipsoid. a) Calculate the average density of the white dwarf. The typical radius of the world is roughly 6. These cookies will be stored in your browser only with your consent. r = 39350/ 6.28 = 6267 kilometer. Video advice: How We Calculated the Radius of Earth. Who first calculated the radius of the earth? Use the protractor to measure the angle where the string meets the stick at the top. Earth's diameter is simply twice Earth's radius; for example, equatorial diameter (2a) and polar diameter (2b). However, Earth is not quite a sphere. Sometimes more are aboard the station during a crew handover. Performance cookies are used to understand and analyze the key performance indexes of the website which helps in delivering a better user experience for the visitors. Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. Example 2. How do you find the radius of the earth from the circumference? Also see the Table of Physical Units and Constants. Solving for x reveals the circumference to be. Of course, no one is claiming the size of Earth has actually changed. So, for him the following relationship between objects will apply: 7.2 / 360 = 787 / x. example R = earthRadius (lengthUnit) returns the mean radius of the Earth using the length unit specified by lengthUnit. , For Earth, the volumetric radius equals 6,371.0008km (3,958.7564mi). This quantity is denoted variously as . See the formula used in an example where we are given the diameter of the sphere. , which is defined to be 6,378.1km (3,963.2mi). The planet's rotation causes it to bulge at the equator. . R By 1490, Christopher Colombus believed that traveling 3,000 miles west from the west coast of the Iberian peninsula would let him reach the eastern coasts of Asia. We invite readers to visit us daily, explore topics of interest, and gain new perspectives along the way. The answer would be 695 500 000 m. Wiki User. A closed-form solution exists for a spheroid:[14]. It does not store any personal data. It is 6356.752 km (3949.903 mi) at the poles and 6371.001 km (3958.756 mi) on average. , For Earth, the volumetric radius equals 6,371. Tack one end of a piece of string to the top of the stick. According to Newtons second law of motion, the acceleration of an object equals the net force acting on it divided by its mass, or a = F m . e For Eratosthenes, the arc was 7.2 degrees. Regarding this, what is the diameter of the Earth in scientific notation? [22] For both Aristotle and Eratosthenes, uncertainty in the accuracy of their estimates is due to modern uncertainty over which stadion length they meant. It does not store any personal data. By clicking Accept, you consent to the use of ALL the cookies. As a consequence of this, the polar radius is closer to 6,356.7 kilometers. The magnitude of the gravitational force between earth and an object is given by the formula. Its the only planet with life. It is with the values I gave you. Physics, 22.06.2022 11:40, yfnal3x. Thus the curvature found this way is smaller than the curvature of a circle of constant latitude, except at the equator. If we were to plot this it would show (setting, G = M = m = R = 1, and including force direction): A simple spring oscillator To understand what this means we'll look at a simple spring oscillator. Earth radius Conversion conversion table Earth radius to Meters Conversion Table Meters [ m ] K The first person to determine the size of Earth was Eratosthenes of Cyrene, who produced a surprisingly good measurement using a simple scheme that combined geometrical calculations with physical observations. Oceanic crust is denser and thinner and mainly composed of basalt. The bulge have been decreasing, consider 1998 the bulge has elevated, possibly because of redistribution of sea mass via currents. Since the estimate by Eratosthenes, many models have been created. Andrew Blum gives some tips that could students in the high-school class in Clinton, Mississippi because they focus on the Eratosthenes project. R New Arrivals Expand Space Stations Crew to 6. r Though he did not have instant communications as we do now, he was able to determine the angle of the suns rays in Alexandria at the same time, which was about 7.2 degrees. The cookies is used to store the user consent for the cookies in the category "Necessary". [9] The oblateness constant q is given by, where is the angular frequency, G is the gravitational constant, and M is the mass of the planet. less than 6400 km. = 6,356.8km (3,949.9mi). For this calculation, the longitude isn't needed. All Right Reserved. Solving for x reveals the circumference to be. Since he knew the distance between the locations, he was able to determine the circumference of the earth, and therefore the diameter and radius as well. Its volume is 803.84 cubic meters. This cookie is set by GDPR Cookie Consent plugin. We also use third-party cookies that help us analyze and understand how you use this website. is normal to the surface at How do you express the earths diameter in scientific notation? These cookies ensure basic functionalities and security features of the website, anonymously. The equatorial circumference is simply the circle perimeter: Ce=2a, in terms of the equatorial radius, a. Since Earth is roughly spherical, calculating its volume is relatively simple. 001 km (3958. The distance between Syene and Alexandria is 787 kilometers. Escape velocity = = 22.4 km/sec. According to the law of gravitation, the gravitational force F of the earth acting on a body is given by: Mass of the Earth Formula =6 1024 kg Mass of earth in kg . Radius refers to a line that connects to the centre point of a circle to any point on its outside layer. r = m v 2 F c . Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). MITs Alan , In 2020, as a response to the disruption caused by COVID-19, the College Board modified the AP exams so they were shorter, administered online, covered less material, and had a different format than previous tests. Subtract the angle measurements to determine the difference in the angle of shadows between the two locations. (e) For that Earth 1/q 289, that is near to the measured inverse flattening 1/f 298. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". The one exception: The flattening in the original definition of WGS84 was a calculated value, based on the Earths second dynamic form factor as determined from satellite orbits ($\bar C_{2,0}$ in WGS84, $J_2$ in GRS80). NASA Telescope Takes 12-Year Time-Lapse Movie of Entire Sky. These cookies track visitors across websites and collect information to provide customized ads. 1o = 180 radian. For Earth, the arithmetic mean radius is 6,371.0088km (3,958.7613mi). Above we see an object with mass m attached to a spring. [2] An Enormous, Unknown Cambrian Bug Fossil Has Been Discovered within the Eerie Burgess Shale, Ancient Tracks May Be The Oldest Hominin Footprints Ever Found, Scientists Say, By 2500, Earth Will Be Alien To Humans If We Dont Act Now, Scientists Warn, Responsibility disclaimer and privacy policy, Topics Related to Circumference of the Earth. When considering the Earth's real surface, on the other hand, it is uncommon to refer to a "radius", since there is generally no practical need. This topographical average is 6,371.230km (3,958.899mi) with uncertainty of 10m (33ft).[16]. The cookie is used to store the user consent for the cookies in the category "Analytics". The geoid height variation is under 110m (360ft) on Earth. This section describes the common ways. In simple words, radius refers to that line, which originates from any point of the circle and touches the centre point the circle. Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6,356.7523142km, V = 1.083211012km3 (2.59881011cumi). Have Bugged an area Rock to pay attention In on Earthlings? Necessary cookies are absolutely essential for the website to function properly. ( You have to find the circumference. (clarification needed). You can do this, too, by using his method. Semi-minor axis b = 6356752.3142 meters. Reviving Erastosthenes, 2022-year-old experiment using the angle of the sun to measure the radius of the Earth. Rotation of a planet causes it to approximate an oblate ellipsoid/spheroid with a bulge at the equator and flattening at the North and South Poles, so that the equatorial radius a is larger than the polar radius b by approximately aq. earthRadius The value for the equatorial radius is defined to the nearest 0.1m in WGS-84. The IUGG denotes the authalic radius as R2. According to data taken by 183 high-school classes participating in a World Year of Physics project, "Measure the Earth with Shadows", the radius of Earth is 6563 km, compared to the accepted value for the mean radius of 6371 km. The first and second radii of curvature correspond, respectively, to the Earth's meridional and prime-vertical radii of curvature. The various radii derived here use the notation and dimensions noted above for the Earth as derived from the WGS-84 ellipsoid;[6] namely. As , EL NORTE is a melodrama divided into three acts. 2013-09-16 00:47:38. 1 Physics, 22. It is the only planet in our solar system that sustains life and it is the planet that we can call our own. Most experts think planet Earth can support about 10 billion people, and that when our population reaches that number, it will start to decline. Thus, the radius of the earth in meters in scientific notation is 6.371106m. This idea predates satellite-based geodesy by centuries. Based on data taken by 183 high-school classes taking part in a global Year of Physics project, Appraise the Earth with Shadows, the radius of Earth is 6563 km, when compared to recognized value for that mean radius of 6371 km. 06. How did we determine the size of the Earth? about 6,367.445km (3,956.547mi), can also be used. One can only adopt an idealized model. Circumference of Earth is the length or the distance around the Earth. g = GM/r2, Where M is the mass of the Earth, r the radius of the Earth (or distance between the center of the Earth and you, standing on its surface), and G is the gravitational constant. Comment document.getElementById("comment").setAttribute( "id", "a9a1dd2ca0d2b09469aaaff6808fc4c3" );document.getElementById("ae49f29f56").setAttribute( "id", "comment" ); Save my name, email, and website in this browser for the next time I comment. {\displaystyle r=[r^{1},r^{2},r^{3}]^{T}=[x,y,z]^{T}} As the parallels run east and west, places having the same latitude will be due east or due west of each other. How many miles is a meter in scientific notation? stands for the radius of the Earth. Regardless of the model, any radius falls between the polar minimum of about 6,357km and the equatorial maximum of about 6,378km (3,950 to 3,963mi). Where K is the Gaussian curvature, Area of sphere= 4pier 2. He observed lunar eclipses and noticed that only a round sphere could imply a circular shadow. 2 The radius of orbit indicates the distance that the satellite is from the center of the earth. 1 In the third century B.C., Eratosthenes, a Greek mathematician, became the first person to mathematically calculate the diameter of the earth by comparing differences in the angle of the suns rays at two separate geographic points. We also use third-party cookies that help us analyze and understand how you use this website. Q. {\displaystyle {\mathcal {R}}_{\mathrm {pJ} }^{\mathrm {N} }} As an example, we will use Eratosthenes situation. where may be the angular frequency, G may be the gravitational constant, and M may be the mass from the planet. This was due to the coincidence that Mars and Earth lined up with the Sun when the Earth was close to its farthest point from . This equation for acceleration can , Dry ice is the name for carbon dioxide in its solid state. The current best estimate for the mass of the Earth is M = 5.97221024 kg, with a standard uncertainty of 61020 kg (relative uncertainty 104). 6,371 kmEarth / RadiusAccording to data taken by 183 high-school classes participating in a World Year of Physics project, "Measure the Earth with Shadows", the radius of Earth is 6563 km, compared to the accepted value for the mean radius of 6371 km. By clicking Accept, you consent to the use of ALL the cookies. All other parallels of latitude are small circles, each having a radius smaller than that of the earth, i.e. r det This table summarizes the accepted values of the Earth's radius. [29] To settle the matter, the French Geodesic Mission (17351739) measured one degree of latitude at two locations, one near the Arctic Circle and the other near the equator. Added 2022-02-06 15:04:59 subject Physics by rsa072001. What is the formula to find radius of Earth? There are two principal radii of curvature: along the meridional and prime-vertical normal sections. He received his Ph.D. in physics from the University of California, Berkeley, where he conducted research on particle physics and cosmology. Both of these values are very close to the accepted modern values for the Earths circumference and radius, 40,070 km and 6378 km respectively, which have since been measured by orbiting spacecraft. Our descriptions of Earth's surface must be simpler than reality in order to be tractable. The following is a partial list of models of Earth's surface, ordered from exact to more approximate: In the case of the geoid and ellipsoids, the fixed distance from any point on the model to the specified center is called "a radius of the Earth" or "the radius of the Earth at that point". The circumference of the Earth is the length or distance measured around it. 756 mi) on average. These cookies will be stored in your browser only with your consent. (a) To what radius (in meters) would the earth have to be compressed in order for it to become a black holethe escape velocity from its surface equal to the velocity c = 3 \times 10 ^ { 8 } \mathrm { m } / \mathrm { s } c = 3108m/s of light? (clarification needed). det r You need to solve physics problems. which is different from the precise result by under 1m (4105in) the mean of these two axes. ) Copyright 2022 - Science-Atlas.com. [4], The variation in density and crustal thickness causes gravity to vary across the surface and in time, so that the mean sea level differs from the ellipsoid. But opting out of some of these cookies may affect your browsing experience. Venus is covered by a thick, rapidly spinning atmosphere, creating a scorched world with temperatures hot enough to melt lead and a surface pressure 90 times that of Earth.
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