what is the radius of the earth in meters

where in the first fundamental form for a surface (Equation (112) in[11]): E, F, and G are elements of the metric tensor: r to have an oblate spheroid, the curvatures are. , to the plane tangent at The first, titled Arturo Xuncax, is set in an Indian village in Guatemala. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. Earth, as we know now, is an oblate spheroid, as shown in the above figure. R=6370 3. 0 The radius of the Earth, re, is about 6.38 10 6 meters, and the mass of the Earth is 5.98 10 24 kilograms. [1]:3 The nominal polar Earth radius is defined as [2] In his writing, Alexander covers a wide range of topics, from cutting-edge medical research and technology to environmental science and space exploration. Its mean density is 1410 kg/m 3 or 0.255 times the mean density of Earth. Derived quantities: diameter, circumference, arc-length, area, volume, There is no single center to the geoid; it varies according to local. = which differs from the exact result by less than 1m (4105in); the mean of the two axes. A cylinder has a radius of 8 meters. [6] It is an idealized surface, and the Earth measurements used to calculate it have an uncertainty of 2m in both the equatorial and polar dimensions. While carbon dioxide gas is invisible, the very cold gas , Turbines produce noise and alter visual aesthetics. The radius of the Earth is 6371 km. for an oblate spheroid, the curvatures are. h is the transmitting antenna height above the ground,. Earth radius is the distance from Earth's center to its surface, about 6,371 km (3,959 mi). r | Obviously, nobody is claiming how big Earth has really altered. Our descriptions of Earths surface must be simpler than reality in order to be tractable. Hence, we create models to approximate characteristics of Earths surface, generally relying on the simplest model that suits the need. The distance to the centre of the Earth has been taken as the volumetric mean radius of the Earth: 6,371km. The mathematical expressions above apply over the surface of the ellipsoid. r which differs from the exact result by less than 1m (4105in); the mean of the two axes. The cookies is used to store the user consent for the cookies in the category "Necessary". Now we know 2 things- 1. The average light travel time to the earth is 8.3 minutes. The accelerationwhich is gained by an object because of gravitational forceis called its acceleration due to gravity. {\displaystyle r} The polar circumference equals Cp=4mp, four times the quarter meridian mp=aE(e), where the polar radius b enters via the eccentricity, e=(1b2/a2)0.5; see Ellipse#Circumference for details. This difference is the geoid height, positive above or outside the ellipsoid, negative below or inside. 3 Around 1690, Isaac Newton and Christiaan Huygens argued that Earth was closer to an oblate spheroid than to a sphere. ) is the distance from the center of Earth to a point on or near its surface. [ In 200 B.C. T he circumference of the Earth (around the equator) is approximately 24,887 miles. He also shares personal stories and insights from his own journey as a scientist and researcher. about 6,367.445km (3,956.547mi), can also be used. What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? Arc length of more general surface curves, such as meridian arcs and geodesics, can also be derived from Earth's equatorial and polar radii. In the modern age, satellites often provide the most accurate and current information through global imaging. Testing, Testing: Space-Bound US-European Water Mission Passes Finals. r B So if you measure at 11:00am in New York, they should measure at 9:00am in Colorado because of the time difference. 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. All Right Reserved. The nominal radius serves as a unit of length for astronomy. w Earth radius conversions Convert Earth radius to other length and distance measurement units using a free online calculator for length/distance unit conversions. Its SIunit is m/s2. [2] All three values are about 6,371 kilometres (3,959mi). This value is between 6,378 km, particularly around the equator and about 6,357 km at the poles. The planet's rotation causes it to bulge at the equator. Added 2022-02-06 15:04:59 subject Physics by rsa072001. Do NOT follow this link or you will be banned from the site! Since the locations are points on a circle that goes around the Earth, the distance between them can be expressed as an arc measurement on a 360-degree circle. .[10]. The planet bulges at the equator as a result of its rotation. Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). Also, explore tools to convert Earths equatorial radius or meter to other length units or learn more about length conversions. The meridional mean is well approximated by the semicubic mean of the two axes,[citation needed]. , What is the earths radius in meters?Earth radiusSI base unit6.3781106 mMetric system6,357 to 6,378 kmEnglish units3,950 to 3,963 miEarth radiusSI base unit6.3781106 mMetric system6,357 to 6,378 kmEnglish units3,950 to 3,963 miWhat is the radius of the earth?According to data taken by 183 high-school classes participating in a World Year of Physics project, "Measure the Earth The IUGG denotes the volumetric radius as R3. Earth, the third planet from the sun, is one of the most unique celestial bodies in our solar system. 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. (a) Local topography increases the variance, resulting in a surface of profound complexity. You can do this, too, by using his method. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. 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. 1 [clarification needed]. Start your trial now! Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. The earth is made up of three different layers: the crust, the mantle and the core. On solving the circumference of the earth we get 39,350 kilometres. 2 = 6,356.8km (3,949.9mi). R = 6371 km is the mean Earth radius.. In scientific notation, the radius of the earth in meters is equal to 6.37106 meters or approximately 6.4106 meters, and 6378100 or approximately 6370000 in standard form. Where K is the Gaussian curvature, Use the protractor to measure the angle where the string meets the stick at the top. The value for the equatorial radius is defined to the nearest 0.1m in WGS-84. Hence the required distance is. Eratosthenes methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. In the third century B.C., Eratosthenes was able to mathematically calculate the earths diameter by comparing differences in the angle of the suns rays at two separate geographic points. The bulge had been decreasing, but since 1998 the bulge has increased, possibly due to redistribution of ocean mass via currents. Given local and transient influences on surface height, the values defined below are based on a "general purpose" model, refined as globally precisely as possible within 5m (16ft) of reference ellipsoid height, and to within 100m (330ft) of mean sea level (neglecting geoid height). (8,849 meters), but it is not the highest point on Earth that is, the place most distant from the . The planet's rotation causes it to bulge at the equator. Who first calculated the radius of the earth? The cookie is used to store the user consent for the cookies in the category "Performance". {\displaystyle {\mathcal {R}}_{\mathrm {pJ} }^{\mathrm {N} }} Well, the Moon is not always the same distance away from Earth. Sun: radius = 696,000 kilometers, > 100 occasions bigger. The radius of the earth's orbit is 45,000,000 meters. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Reviving Erastosthenes, 2022-year-old experiment using the angle of the sun to measure the radius of the Earth. This astronomical observation was confirmed by general observations made at sea. Drive one of the meter sticks into the ground in your location in a sunny spot. Step 2 of 5. Its nice to determine that measurements taken by a lot of groups, sometimes in under ideal conditions, came so near to the right answer. {\displaystyle K} [1]:4 a) The radius of the earth is 4000 miles. Equatorial radius a (called semi-major axis), and polar radius b (called semi-minor axis); a and eccentricity e; a and flattening f. WGS 84 defines ellipsoid parameters as: Semi-major axis a = 6378137.0 meters. Hence 1km=10001000m=10m 6. 6,371,000 metersThe value, symbolized rearth, is equal to approximately 6,371,000 meters (6.371 x 106 m). Please enter the latitude in decimal degrees, here you can convert coordinates. Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6,356.7523142km, V = 1.083211012km3 (2.59881011cumi). For information on the Earth, see the Earth Fact Sheet. View this answer. Here x is the circumference of the earth. That's almost 32 Earths. In astronomy, the International Astronomical Union denotes the nominal equatorial Earth radius as You have to find the circumference. This equation for acceleration can , Dry ice is the name for carbon dioxide in its solid state. This calculated value became a defining value in 1993. The total mass of all the asteroids combined is less than that of Earth's Moon. Literature guides . Place the loose end of the string at the end of the cast shadow and hold it taut. 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. N In particular, the Earth's meridional radius of curvature (in the northsouth direction) at is: where This cookie is set by GDPR Cookie Consent plugin. Using the mathematical formula for calculating the volume of a sphere, it has been estimated that the volume of Earth is roughly 259 billion cubic miles. In summary, local variations in terrain prevent defining a single "precise" radius. How do you find the radius of a planet in physics? The distance between Syene and Alexandria is 787 kilometers. Drive one of the meter sticks into the ground in your location in a sunny spot. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. 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 Facts about the earth Since the earth is a sphere, we can measure its diameter and radius. What is the radius of the parallel of latitude? What is the radius of Earth in exponential form? How do you use the Pythagorean Theorem to find the radius of the earth? While specific values differ, the concepts in this article generalize to any major planet. , For Earth, the volumetric radius equals 6,371.0008km (3,958.7564mi). The dashed line designates the radius to one point on the surface. 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 , over the surface of the ellipsoid. R = earthRadius returns the scalar value 6,371,000, the mean radius of the Earth in meters. Keplers Third law can be used to determine the orbital radius of the planet if the mass of the orbiting star is known (R3=T2Mstar/Msun, the radius is in AU and the period is in earth years). So escape velocity = . Write it in scientific notation. [a] Local topography increases the variance, resulting in a surface of profound complexity. A) 4.5 x 10-7 B) 4.5 x 107 C) 45 x 10-6 D) 45 x 106 in the second fundamental form for a surface (Equation (123) in[11]): e, f, and g are elements of the shape tensor: n This cookie is set by GDPR Cookie Consent plugin. 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. 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. Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. What is the radius of Earth in gravitation? 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 The cookie is used to store the user consent for the cookies in the category "Analytics". 2019 11:40, yfnal3x. These cookies track visitors across websites and collect information to provide customized ads. Additionally, the radius can be estimated from the curvature of the Earth at a point. a) The diameter of the earth is approximately 1.276 1 0 7 1.276 \times 10^7 1.276107 m in scientific notation. Step 3 of 5. 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). There are two types of crust; oceanic and continental. The WGS84 reference ellipsoid is now just that, a reference ellipsoid (that is, its the ellipsoid used as a reference by GPS and related systems). Part 4: Computation . Measuring the Circumference of the Earth. 2 R What is the scientific name for Earth? The actual radius of the earth is 6,378.1 kilometers at the equator, but the radius varies because the earth is a somewhat flattened sphere. A How much is a trillion in scientific notation? These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. is the eccentricity of the earth. What is the radius of the earth? Radius refers to a line that connects to the centre point of a circle to any point on its outside layer. {\displaystyle w^{1}=\varphi } Note that the dimensions of h, R and d must be . Thus, the radius of the earth in meters in scientific notation is 6.371106m. det There are two principal radii of curvature: along the meridional and prime-vertical normal sections. 6 m0. For best results, the minimum radius of the geofence should be set between 100 - 150 meters. Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. At the equator, the radius of Earth is 3963 miles (Diameter = 7926 miles). We know that the acceleration due to gravity is equal to 9.8 m/s2, the Gravitational constant (G) is 6.673 1011 Nm2/kg2, the radius of the Earth is 6.37 106 m, and mass cancels out. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. . f It has a diameter of 12,756.3 km (Scientific notation: 1.2756 x 10e4) and a radius of 56,378.15 km (Scientific notation: 5.6378 x 10e4 km.) E This measurement also introduces another fun source of error that actually comes from the motion of Earth and other similar planetary bodies in the solar system. [ Let us calculate area of earth using this formula area=4x22/76370= 5.110 4. It is 6356.752 km (3949.903 mi) at the poles and 6371.001 km (3958.756 mi) on average. Use a scientific calculator. {\displaystyle K=\kappa _{1}\,\kappa _{2}={\frac {\det \,B}{\det \,A}}} to the plane tangent at What is the number in scientific notation? Acceleration due to gravity is a vector, which means it has both a magnitudeand a direction. 371 106 m), the bottom unit of length within the Worldwide System of Units (SI). K Record the distance between your location and your partners location. Each pair measured the position from the sun, in the same manner the Greek philosopher Eratosthenes exceeded 2000 years back in Alexandria, Egyptby evaluating the size of an item to the size of its shadow, measured at local noon. Copyright 2022 - Science-Atlas.com. Earth Radius by Latitude Calculator Calculates radius and diameter of the Earth for a given latitude. Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. 257. 752 km (3949. (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? Multiplyin. 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. 06. Other ways to define and measure the Earth radius involve the radius of curvature. "The Earth's mass is about 5.98 10 24 kg". We invite readers to visit us daily, explore topics of interest, and gain new perspectives along the way. Thus, the radius of the earth in meters in scientific notation is 6.371106m. The radius of a chlorine atom is approximately meters. 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. What are the formula in calculating the earth? 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 . Q. His highly influential work, the Almagest,[26] left no doubt among medieval scholars that Earth is spherical, but they were wrong about its size. What is the formula to find radius of Earth? The size of a frictional force is given by F, start subscript, f, end subscript, is less than or equal to, mu, R,FfR where R is the magnitude of the normal reaction force between the two surfaces and is the coefficient of friction between the two surfaces. The Bohr model of the atom predicted the radius of the lowest-energy electron orbit. When it's closest, the Moon is 225,623 miles away. Hence, we create models to approximate characteristics of Earth's surface, generally relying on the simplest model that suits the need. The polar radius of the Earth is 3,950 miles (6,356), which is a 13-mile (22-kilometer) difference. What is the radius of Earth in meters? This cookie is set by GDPR Cookie Consent plugin. What is the permiter of the Earth? 1. These values correspond to the zero Earth tide convention. K 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. Wind farms have different impacts on the environment compared to conventional power plants, but similar concerns exist over both the noise produced by the turbine blades and the . Karren Doll Tolliver holds a Bachelor of English from Mississippi University for Women and a CELTA teaching certificate from Akcent Language School in Prague. The geoid height can change abruptly due to earthquakes (such as the Sumatra-Andaman earthquake) or reduction in ice masses (such as Greenland).[5]. Additionally, the bulge at the equator shows slow variations. Enchanted Learning. The planet's rotation causes it to bulge at the equator. In general, this points to an important conclusion about nature itself. Geodetic ellipsoids are better suited to regional idiosyncrasies of the geoid. Circumference of Earth is the length or the distance around the Earth. 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). {\displaystyle p=N\cos(\varphi )} [24] Claudius Ptolemy around 150AD gave empirical evidence supporting a spherical Earth,[25] but he accepted the lesser value attributed to Posidonius. Your email address will not be published. How do you find the radius with mass and gravity? Exercises. 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. The radius of the sun at 696,000 km is 109 times the Earth's radius. January 2023: The Next Full Moon is the Wolf or Ice Moon. The cookie is used to store the user consent for the cookies in the category "Performance". , Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). 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). Therefore, the distance you use in the equation is the distance between the two orbiting bodies. As an example, we will use Eratosthenes situation. ) Yes! The answer would be 695 500 000 m. Wiki User. However, Earth is not quite a sphere. Most experts think planet Earth can support about 10 billion people, and that when our population reaches that number, it will start to decline. This cookie is set by GDPR Cookie Consent plugin. arrow_forward. The radius is more like 6,371 kilometers at the north and south poles. r Responsibility disclaimer and privacy policy | About Us | Terms & Conditions | Site Map, Scientific discoveries from around the world. The acceleration due to gravity at the surface of Earthis represented by the letter g. 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. At what distance above the surface of earth, the gravitational force will be reduced by 10%, if the radius of earth is 6370 Km. Also a photographer, she records adventures by camera, combining photos with journals in her blogs. The first and second radii of curvature correspond, respectively, to the Earth's meridional and prime-vertical radii of curvature. r . 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). Point B, which appears due east from A, will be closer to the equator than A. 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. earthRadius , and because The magnitude of the gravitational force between earth and an object is given by the formula. , The typical radius of the world is roughly 6. = By clicking Accept, you consent to the use of ALL the cookies. The radius of earth, is the distance from the centre of the Earth to a point on or near its surface, and it ranges from nearly 6,378 km to nearly 6,357 km, dhanyaranjan Published On January 28th, 2022 Table of Contents Radius of Earth in Physics The symbol R? At the poles, = 90o and the length = 110.95 km, nearly. Could E.T. First of NASA's SunRISE SmallSats Rolls Off Production Line. This video explains how humans managed to measure the circumference of the earth long long ago using simple math, reasoning and assumptions. The equatorial radius of Earth is actually 6,378.1 kilometers. This cookie is set by GDPR Cookie Consent plugin. Find the level of Earth in cubic meters. 2023 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. Explanation: The Earth's radius (r) is 6371 km or 3959 miles, based on numbers from Wikipedia, which gives a circumference (c) of c = 2 * * r = 40 030 km We wish to find the height (h) which is the drop in curvature over the distance (d) Using the circumference we find that 1 kilometer has the angle 360 / 40 030 km = 0.009. \text {Circumference} = 39,350 \text {\ kilometers} Circumference = 39,350 kilometers. Above we see an object with mass m attached to a spring. The cookie is used to store the user consent for the cookies in the category "Other. Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. In physics, it is established that the acceleration due togravity, g (in meters/sec 2), at a height h meters abovesea level is given by g(h)= 3.99 *10 14 (6.374* 10 6 + h) 2 where 6.374 * 10 6 isthe radius of the Earth in meters. The magnitude of the gravitational force between earth and an object is given by the formula.