what is the radius of the earth in meters what is the radius of the earth in meters

The adolescent protagonists of the sequence, Enrique and Rosa, are Arturos son and , The payout that goes with the Nobel Prize is worth $1.2 million, and its often split two or three ways. The diameter is the distance from side to side, if you. The Earth's azimuthal radius of curvature, along an Earth normal section at an azimuth (measured clockwise from north) and at latitude , is derived from Euler's curvature formula as follows:[12]:97. Given you're looking for a simple formula, this is probably the simplest way to do it, assuming that the Earth is a sphere with a circumference of 40075 km. Geometrically, the second fundamental form gives the distance from 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. R . \text{Circumference} = 39,350 \text{\ kilometers}. Tack one end of a piece of string to the top of the stick. 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. When we rearrange the equation and plug all the numbers in, we find that the mass of the Earth is 5.96 1024 kg. r The space station is 356 feet (109 meters) end-to-end, one yard shy of the full length of an American football field including the end . Now, lets plug in some numbers. w The average radius of the earth is 6.38x106 meters. . This cookie is set by GDPR Cookie Consent plugin. How far is the center of the Earth in KM? Learn what is circumference of a sphere, how to calculate the circumference of the Earth with the help of solved examples. By clicking Accept, you consent to the use of ALL the cookies. Point on the ellipsoid surface can be defined by the parametric curve equation. for an oblate spheroid, the curvatures are. F Sun: radius = 696,000 kilometers, 100 times larger. The recent Juno mission launched with the goal of examining Jupiters composition and underlying structure, the wikipedia article on the Juno spacecraft provides an a great overview of this type of process. Thus the curvature found this way is smaller than the curvature of a circle of constant latitude, except at the equator. What is the biggest problem with wind turbines? Since the estimate by Eratosthenes, many models have been created. = As a consequence of this, the polar radius is closer to 6,356.7 kilometers. Reviving Erastosthenes, 2022-year-old experiment using the angle of the sun to measure the radius of the Earth. Using the Gauss-Bonnet theorem, this gives, Another spherical model is defined by the Earth's volumetric radius, which is the radius of a sphere of volume equal to the ellipsoid. What is radius of Earth in gravitation Class 9? r Earth is the third planet from the sun. Since Earth is roughly spherical, calculating its volume is relatively simple. The radius of a chlorine atom is approximately meters. Arc length of more general surface curves, such as meridian arcs and geodesics, can also be derived from Earth's equatorial and polar radii. Out of these, the cookies that are categorized as necessary are stored on your browser as they are essential for the working of basic functionalities of the website. You have to find the circumference. How do you solve for radius and diameter? Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). Eratosthenes methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. Therefore, the Earth radius isn't constant, but it can be calculated for every location. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. , in the second fundamental form for a surface (Equation (123) in[11]): e, f, and g are elements of the shape tensor: n Also a photographer, she records adventures by camera, combining photos with journals in her blogs. Thus, the surface of the earth at the equator moves at a speed of 460 meters per secondor roughly 1,000 miles per hour. Earth, as we know now, is an oblate spheroid, as shown in the above figure. Q4. Hence the required distance is. A How much is a trillion in scientific notation? [a] Local topography increases the variance, resulting in a surface of profound complexity. , over the surface of the ellipsoid. r Literature guides . The circumference of the world may be the distance measured around it. The radius of the swimming pool water atom is roughly meters. You also have the option to opt-out of these cookies. Solving for x reveals the circumference to be. The various radii derived here use the notation and dimensions noted above for the Earth as derived from the WGS-84 ellipsoid;[6] namely. The equation for Keplers Third Law is P = a, so the period of a planets orbit (P) squared is equal to the size semi-major axis of the orbit (a) cubed when it is expressed in astronomical units. r Similarly very small numbers are written using negative exponents, e. The very first printed mention of Earths size made an appearance around 350BC, when Aristotle reported in the book Around the Heavens(18) that mathematicians had suspected the circumference of the world to become 400,000 stadia. These cookies track visitors across websites and collect information to provide customized ads. r These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. N 3.2.2.2Non-directional 4Global radii 4.1Nominal radius 4.2Arithmetic mean radius 4.3Authalic radius 4.4Volumetric radius 4.5Rectifying radius 5Topographical radii 5.1Topographical extremes 5.2Topographical global mean 6Derived quantities: diameter, circumference, arc-length, area, volume 7Published values 8History 9See also 10Notes 11References How did we determine the size of the Earth? Since the earth's surface is 6.37 x 10 6 m from its center (that's the radius of the earth), the satellite must be a height of. ), In geophysics, the International Union of Geodesy and Geophysics (IUGG) defines the Earth's arithmetic mean radius (denoted R1) to be[2], The factor of two accounts for the biaxial symmetry in Earth's spheroid, a specialization of triaxial ellipsoid. 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. Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Point B, which appears due east from A, will be closer to the equator than A. To determine the diameter of the earth in metres first multiply the original value by 2. Do NOT follow this link or you will be banned from the site! Exercises. , which is defined to be 6,378.1km (3,963.2mi). Chapter P, Problem 13E is solved. The distance between Syene and Alexandria is 787 kilometers, Eratosthenes used the ancient Greek measurement of stadia, but his calculations use the proportionality of angles between two locations, so any system of measurement will work. Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. This astronomical observation was confirmed by general observations made at sea. The equatorial circumference is simply the circle perimeter: Ce=2a, in terms of the equatorial radius, a. {\displaystyle n={\frac {N}{|N|}}} The standard English name of the planet, including in science, is Earth. Go farther. Measuring the Circumference of the Earth. So escape velocity of the planet will be 22.4 km/sec => When Wi-Fi is available location accuracy is usually between 20 - 50 meters. You must measure the angle of shadows in the two locations at the exact same time on the exact same day or the calculations will be erroneous. New Arrivals Expand Space Stations Crew to 6. The mathematical expressions above apply over the surface of the ellipsoid. for the nominal polar Jupiter radius. The accelerationwhich is gained by an object because of gravitational forceis called its acceleration due to gravity. This website uses cookies to improve your experience while you navigate through the website. The geocentric radius is the distance from the Earth's center to a point on the spheroid surface at geodetic latitude : where a and b are, respectively, the equatorial radius and the polar radius. Example 2. In general, this points to an important conclusion about nature itself. This cookie is set by GDPR Cookie Consent plugin. {\displaystyle w^{1}=\varphi } T Ans. 137 km (3963. Facts about the earth Since the earth is a sphere, we can measure its diameter and radius. Earth radius is the distance from Earth's center to its surface, about 6,371 km (3,959 mi). 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. 6,371,000 metersThe value, symbolized rearth, is equal to approximately 6,371,000 meters (6.371 x 106 m). r = 39350/ 6.28 = 6267 kilometer. However, around 1730, Jacques Cassini argued for a prolate spheroid instead, due to different interpretations of the Newtonian mechanics involved. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. Created by Sal Khan and Monterey Institute for Technology and Education. Thus, the radius of the earth in meters in scientific notation is 6.371106m. N What is the scientific name for Earth? Added 2022-02-06 15:04:59 subject Physics by rsa072001. In the modern age, satellites often provide the most accurate and current information through global imaging. For integration limits of [0,/2], the integrals for rectifying radius and mean radius evaluate to the same result, which, for Earth, amounts to 6,367.4491km (3,956.5494mi). nasa.gov. , Physics, 22.06.2022 11:40, yfnal3x. 4.23 x 10 7 m - 6.37 x 10 6 m . The cookies is used to store the user consent for the cookies in the category "Necessary". At the poles, = 90o and the length = 110.95 km, nearly. [22] For both Aristotle and Eratosthenes, uncertainty in the accuracy of their estimates is due to modern uncertainty over which stadion length they meant. You also have the option to opt-out of these cookies. The orbit of Earth ranges from 1.47 to 1.52 x 10 11 meters from the Sun. Multiplyin. The Earths equatorial radius to meter (m) conversion table and conversion steps are also listed. The value for the equatorial radius is defined to the nearest 0.1m in WGS-84. 756 mi) on average. For a perfect sphere without any mountains, the distance d from a transmitting antenna to the horizon or the line of sight, or radio horizon, can be calculated from the Pythagorean theorem (see the picture above):. Another global radius is the Earth's rectifying radius, giving a sphere with circumference equal to the perimeter of the ellipse described by any polar cross section of the ellipsoid. b) Calculate the surface free-fall acceleration. How to Calculate the Circumference of the Earth? 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. = This idea predates satellite-based geodesy by centuries. Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6356.7523142km, V = 1.083211012km3 (2.59881011cumi).[17]. Calculating Earths Volume Averaging these two numbers yields a mean radius of 6,371.0 kilometers (3,958.7 miles), which in turn yields an approximate value for the volume of the Earth of 1.08 quadrillion cubic kilometers (259 trillion cubic miles). The radius of orbit indicates the distance that the satellite is from the center of the earth. Drive one of the meter sticks into the ground in your location in a sunny spot. B R r = m v 2 F c . E Hence, we create models to approximate characteristics of Earth's surface, generally relying on the simplest model that suits the need. Estimates of the accuracy of Eratosthenes's measurement range from 0.5% to 17%. What is the mass of this planet in terms of Earth's mass? By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. January 2023: The Next Full Moon is the Wolf or Ice Moon. The equatorial radius of Earth is actually 6,378.1 kilometers. = At room temperature, it will go from a solid to a gas directly. = [1]:4 Yes! In this state, it would have approximately the same mass as it has now, but its radius would be equal to the radius of the Earth. Have your partner do the same in her location. The first published reference to the Earth's size appeared around 350BC, when Aristotle reported in his book On the Heavens[19] that mathematicians had guessed the circumference of the Earth to be 400,000 stadia. The nominal radius serves as a unit of length for astronomy. EARTH RADIUS meaning & explanation. A cylinder has a radius of 8 meters. The radius of the Earth is 6371 km. for an oblate spheroid, the curvatures are. Record the measurements. Surface Gravity Metric: 9.80665 m/s 2 English: 32.041 ft/s 2 Escape Velocity Metric: 40,284 km/h English: 25,031 mph Scientific Notation: 1.119 x 10 4 m/s Sidereal Rotation Period 0.99726968 Earth Days 23.934 Hours Surface Temperature Metric: -88/58 (min/max) C English: -126/136 (min/max) F Scientific Notation: 185/331 (min/max) K 1 Earths equatorial radius637816 m1 Earths equatorial radius6378160 m2 Earths equatorial radius12756320 m3 Earths equatorial radius19134480 m5 Earths equatorial radius31890800 m10 Earths equatorial radius63781600 m20 Earths equatorial radius127563200 m50 Earths equatorial radius318908000 m100 Earths equatorial radius637816000 m1000 Earths equatorial radius6378160000 mHow to Convert Earths Equatorial Radius to Meter1 Earths equatorial radius = 6378160 m1 m = 1. Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. | The Earth's Gaussian radius of curvature at latitude is:[12]. Solution Verified to the plane tangent at But opting out of some of these cookies may affect your browsing experience. The circumference of the world measured round the Equatoris approximtely 24,887. 1 {\displaystyle w^{2}=\lambda ,}. R = earthRadius returns the scalar value 6,371,000, the mean radius of the Earth in meters. [27] However, the 1492 enactment of that voyage brought his fleet to the Americas. An international crew of seven people live and work while traveling at a speed of five miles per second, orbiting Earth about every 90 minutes. The cookie is set by the GDPR Cookie Consent plugin and is used to store whether or not user has consented to the use of cookies. This cookie is set by GDPR Cookie Consent plugin. A model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip. Earth radius at sea level is 6378. First of NASA's SunRISE SmallSats Rolls Off Production Line. = 6,356.8km (3,949.9mi). the center.of the Earth. It was there that he first had the idea to create a resource for physics enthusiasts of all levels to learn about and discuss the latest developments in the field. As such, they are topographical geocentric distances, Rt, which depends not only on latitude.