what is the radius of the earth in meters
What does EARTH RADIUS mean? which differs from the exact result by less than 1m (4105in); the mean of the two axes. The Bohr model of the atom predicted the radius of the lowest-energy electron orbit. 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 {\displaystyle K} How do you find the radius of the earth from the circumference? A nominal Earth radius is sometimes used as a unit of measurement in astronomy and geophysics, which is recommended by the International Astronomical Union to be the equatorial value.[1]. ] Find the level of Earth in cubic meters. For the Earth, the authalic radius is 6,371.0072km (3,958.7603mi). {\displaystyle r} What you need is to convert a meter into degrees since long/lat is a polar coordinate system.With the circumference of Earth being 40,075 km, you get 0.00000898315 deg/m which you need to multiply with the size of the object (1 m) to get the degrees which you have to add to your coordinate to get a point which intersects with the radius of . For example, if you stand at a point on the earth and move around the earth in a straight path, and reach the same point again, then the distance covered by you is the circumference of the earth. However, around 1730, Jacques Cassini argued for a prolate spheroid instead, due to different interpretations of the Newtonian mechanics involved. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. This section describes the common ways. Earth, the third planet from the sun, is one of the most unique celestial bodies in our solar system. Q4. How far (in meter) does it travel in the first 3 seconds? How to Calculate the Circumference of the Earth? The cookie is used to store the user consent for the cookies in the category "Performance". wikipedia article on the Juno spacecraft provides an a great overview of this type of process. The Earth is slightly oblate, so its radius in the plane of the equator is a little larger than its radius along the rotational axis. 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 Physics, 22.06.2022 11:40, yfnal3x. 2019 11:40, yfnal3x. What is the Radius of the Earth? R Responsibility disclaimer and privacy policy | About Us | Terms & Conditions | Site Map, Scientific discoveries from around the world. Therefore, if the earth is taken to be a two dimensional object, its perimeter would be equal to the. . Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). You also have the option to opt-out of these cookies. What physical measurement / elevation is used to define Earths radius? That's almost 32 Earths. ] a) The radius of the earth is 4000 miles. 2 degrees. Oceanic crust is denser and thinner and mainly composed of basalt. How do you express the earths diameter in scientific notation? , 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. The red dot at the lower left corner is its center. This website uses cookies to improve your experience while you navigate through the website. He was the first one to use the word geography and he also had a small-scale notion of the planet that helped him to determine the circumference of the earth. Eratosthenes' methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. 0 [2] The corresponding radius of curvature depends on the location and direction of measurement from that point. 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. 1o = 180 radian. = 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. How do you solve for radius and diameter? f E 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. Earth radius conversions Convert Earth radius to other length and distance measurement units using a free online calculator for length/distance unit conversions. 149597870700 meters nearly This is 10-sd (significant digits) approximation. Asteroids range in size from Vesta - the largest at about 329 miles (530 kilometers) in diameter - to bodies that are less than 33 feet (10 meters) across. These cookies ensure basic functionalities and security features of the website, anonymously. Strictly speaking, spheres are the only solids to have radii, but broader uses of the term radius are common in many fields, including those dealing with models of Earth. Not all deformations originate within the Earth. Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. New Arrivals Expand Space Stations Crew to 6. For Eratosthenes, at midday on the summer solstice where the suns angle was directly overhead, the angle was zero. The core is found about 2,900 kilometers (1,802 miles) below Earth's surface, and has a radius of about 3,485 kilometers (2,165 miles). This is the outside layer of the earth and is made of solid rock, mostly basalt and granite. The height above sea level of the location is added. Have your partner do the same in her location. He studied in Athens at the Lyceum. What is the radius of the earth? [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. R , You can do this, too, by using his method. And we divide that by Pi times 9.00 centimeters written as meters so centi is prefix meaning ten times minus two and we square that diameter. Please enter the latitude in decimal degrees, here you can convert coordinates. 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. The cookie is used to store the user consent for the cookies in the category "Analytics". It is a common misconception that Terra is the internationally-recognized scientific name of the planet, but in reality Earth does not have an official international name. In late August of 2003, Mars was at its closest point to Earth in about 60,000 years! Where K is the Gaussian curvature, What is the formula to find radius of Earth? Multiplyin. F It is the smallest planet in the Solar System, with an equatorial radius of 2,439.7 km. Like a torus, the curvature at a point will be greatest (tightest) in one direction (northsouth on Earth) and smallest (flattest) perpendicularly (eastwest). \text {Circumference} = 39,350 \text {\ kilometers} Circumference = 39,350 kilometers. Measure the angle of the shadow of your meter stick when the sun is overhead and the shadow is smallest, often known as local noon (when the sun is exactly north-south in the sky at its highest point). 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. This length is also used as a unit of distance, especially in astronomy and geology, where it is usually denoted by R. nasa.gov. Therefore, the Earth radius isn't constant, but it can be calculated for every location. The mathematical expressions above apply over the surface of the ellipsoid. [27] However, the 1492 enactment of that voyage brought his fleet to the Americas. NASA Telescope Takes 12-Year Time-Lapse Movie of Entire Sky. + , which is defined to be 6,378.1km (3,963.2mi). The Earths equatorial radius to meter (m) conversion table and conversion steps are also listed. So escape velocity of the planet will be 22.4 km/sec Around 100BC, Posidonius of Apamea recomputed Earth's radius, and found it to be close to that by Eratosthenes,[23] but later Strabo incorrectly attributed him a value about 3/4 of the actual size. 6378 X 2 = 12 756 km. Earth's volume is estimated at 1 trillion cubic kilometers. The tropical radius of the world (or semi-major axis) is all about 6,378 km (3,963 miles or 3,444 maritime miles), as the polar radius of the world (or semi-minor axis) is all about 6,357 km (3,950 miles or 3,432 maritime miles). Earth's volume, or that of the reference ellipsoid, is V = 4/3a2b. What is radius of Earth in gravitation Class 9? 2013-09-16 00:47:38. ) [7] Additional discrepancies caused by topographical variation at specific locations can be significant. 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. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. In 200 B.C. {\displaystyle F=f=0} Science atlas, our goal is to spark the curiosity that exists in all of us. A: . Do NOT follow this link or you will be banned from the site! The circumference of the Earth depends on how it is measured. 756 mi) on average. Rather, elevation above or below sea level is useful. It does not store any personal data. The cookie is used to store the user consent for the cookies in the category "Performance". r 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. A body on the surface of a planet with the same radius as Earth's weighs 10 times more than it does on Earth. Obviously, nobody is claiming how big Earth has really altered. This video will show you how Eratosthenes calculated the circumference and radius of the Earth in 240 BC!! {\displaystyle r=[r^{1},r^{2},r^{3}]^{T}=[x,y,z]^{T}} Literature guides . 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. At the equator, = 0 and this arc length = 111.32 km, nearly. , over the surface of the ellipsoid. r = 39350/ 6.28 = 6267 kilometer. Make sure both sticks are perpendicular to the earth and that the same length of stick protrudes from the ground. Although the precise strength of Earth's gravity varies depending on location, the nominal "average" value at the Earth's surface, known as standard gravity is, by definition, 9.80665 m/s 2 (32.1737 ft/s 2 ). What are the formula in calculating the earth? {\displaystyle w^{2}=\lambda ,}. 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. The cookies is used to store the user consent for the cookies in the category "Necessary". , r High School Students Measure New Value for Earths Radius to Celebrate World Physics Year. This website uses cookies to improve your experience while you navigate through the website. {\displaystyle {\frac {\partial r}{\partial \lambda }}} z Tack one end of a piece of string to the top of the stick. The Earth can be modeled as a sphere in many ways. A rough, general figure for the Earths mean orbital speed is 30 kilometers per second (km/s), or 18 miles per second (mi/s). the center.of the Earth. Approximating the figure of Earth by an Earth spheroid, the radius ranges from a maximum of nearly 6,378km (3,963mi) (equatorial radius, denoted a) to a minimum of nearly 6,357km (3,950mi) (polar radius, denoted b). Required fields are marked *. [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. Sun: radius = 696,000 kilometers, 100 times larger. Earth's diameter is simply twice Earth's radius; for example, equatorial diameter (2a) and polar diameter (2b). r . [d] It is also common to refer to any mean radius of a spherical model as "the radius of the earth". Thus, the surface of the earth at the. Use scientific notation to show the above value of the radius. Earths circumference is the distance around Earth. A Just how much is really a trillion in scientific notation? Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). b : the third and usually largest vein of an insects wing. 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. Using the curvature of the Earth relative to the parallel light from the sun, we can observe shadows at different locations on the surface of the Earth to find the Earths radius. Earth's polar radius is 3950 miles (Diameter = 7900 miles). Earth radius is the distance from Earth's center to its surface, about 6,371 km (3,959 mi). What is the radius of Earth in exponential form? The circumference of the Earth can be calculated using the formula, Circumference = 2 R or D, where R is the radius of Earth and D is the diameter. The meridional mean is well approximated by the semicubic mean of the two axes,[citation needed]. Let the mass of the earth be M and radius of the earth be R, The distance of the body from the center of the earth will also be equal to the radius R of the earth. J Hence 1km=10001000m=10m 6. A) 4.5 x 10-7 B) 4.5 x 107 C) 45 x 10-6 D) 45 x 106 This video explains how humans managed to measure the circumference of the earth long long ago using simple math, reasoning and assumptions. Equatorial radius is conventionally used as the nominal value unless the polar radius is explicitly required. (clarification needed). 257. Video advice: How We Calculated the Radius of Earth. Make sure both sticks are perpendicular to the Earth and that the same length of stick protrudes from the ground. (clarification needed). [1]:4 What happens to the dry ice at room pressure and temperature? Aristotle (384-322 BC) was among the first to recognize the fact of our planet being a round sphere. Its the only planet with life. 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. 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. The earth is made up of three different layers: the crust, the mantle and the core. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. What is the radius of the parallel of latitude? 1. After completing his doctoral studies, he decided to start "ScienceOxygen" as a way to share his passion for science with others and to provide an accessible and engaging resource for those interested in learning about the latest scientific discoveries. University of Texas: Eratosthenese Finds Diameter of Earth, Partner in a distant location on about the same longitude or in the same time zone. 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. He noticed that the difference in the angle of a shadow in his location at Syene, which is present-day Aswan in Egypt, and that of a shadow in Alexandria was about 7.2 degrees. Other ways to define and measure the Earth radius involve the radius of curvature. Geometrically, the second fundamental form gives the distance from [2], For Earth, the volumetric radius equals 6,371.0008km (3,958.7564mi).[13]. [a] Local topography increases the variance, resulting in a surface of profound complexity. However, for purposes of uniformity and use in geophysics and astronomy, the nominal earth radius is used, which is about 6, 371 km. The radius of the swimming pool water atom is roughly meters. Since Earth is roughly spherical, calculating its volume is relatively simple. A 191 mi) at the equator. p and The structure of the Earths upper mantle can be derived from seismic waves. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. E There are two principal radii of curvature: along the meridional and prime-vertical normal sections. p 2023 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. Historically, these models were based on regional topography, giving the best reference ellipsoid for the area under survey. This calculated value became a defining value in 1993. A cylinder has a radius of 8 meters. Lunar night time is also about two weeks long, during which the moon's temperature plummets to -208 degrees F (-130 C, 140 K) according to NASA. You also have the option to opt-out of these cookies. Earth Radius by Latitude Calculator Calculates radius and diameter of the Earth for a given latitude. = 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. These cookies ensure basic functionalities and security features of the website, anonymously. Thus the curvature found this way is smaller than the curvature of a circle of constant latitude, except at the equator. \text{Circumference} = 39,350 \text{\ kilometers}. View a sample solution. It has an average density of 5.5 g/cm3. Derivation means the action of obtaining something from a source or origin. r The Earths circumference is approximately 40,000,000 meters. Solving for x reveals the circumference to be. Exponential or Scientific Notation: It is easier to write very large numbers such as 100,000,000 as 10 8 (1 followed by 8 0s). Place the loose end of the string at the end of the cast shadow and hold it taut. 01 Earths equatorial radius63781. George Jackson is the founder and lead contributor of Physics Network, a popular blog dedicated to exploring the fascinating world of physics. where. [ E You can do this, too, by using his method. . Its mean density is 1410 kg/m 3 or 0.255 times the mean density of Earth.
Major Phases Of Iranian Art Post Revolution,
Gundog Training Essex,
Bill Andrews Obituary,
Dekalb County Police Precinct Map,
Articles W