what is the radius of the earth in meters

{\displaystyle w^{2}=\lambda ,}. In the modern age, satellites often provide the most accurate and current information through global imaging. nasa.gov. Exercises. Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6,356.7523142km, V = 1.083211012km3 (2.59881011cumi). Mass of the Earth - The Physics Factbook - hypertext-book The value for the polar radius in this section has been rounded to the nearest 0.1m, which is expected to be adequate for most uses. Q4. Mathematically, Earth is a spheroid. 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. It is possible to combine the principal radii of curvature above in a non-directional manner. 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. Do NOT follow this link or you will be banned from the site! (b) Repeat part (a) with the sun in place of the earth. 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. Record the distance between your location and your partners location. 0 Have your partner do the same in her location at the exact same time. An arc of 1 radian = the radial distance of the the latitude circle, from. ] What happens to the dry ice at room pressure and temperature? Step 2 of 5. A globally-average value is usually considered to be 6,371 kilometres (3,959mi) with a 0.3% variability (10 km) for the following reasons. Therefore, the Earth radius isn't constant, but it can be calculated for every location. Necessary cookies are absolutely essential for the website to function properly. r ) is the distance from the center of Earth to a point on or near its surface. High School Students Measure New Value for Earths Radius to Celebrate World Physics Year. is normal to the surface at find the radius of mars. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. How did Aristotle know the earth was round? All Right Reserved. In 1993 the WGS84 governing committee voted, with one exception, to retain the 1984 defining values, despite improvements to those defining values. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. 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. For the WGS84 ellipsoid, that's respectively: Earth's circumference equals the perimeter length. Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. This calculated value became a defining value in 1993. Q. The cookie is used to store the user consent for the cookies in the category "Other. [f], This Earth's prime-vertical radius of curvature, also called the Earth's transverse radius of curvature, is defined perpendicular (orthogonal) to M at geodetic latitude is:[g], N can also be interpreted geometrically as the normal distance from the ellipsoid surface to the polar axis. Make sure both sticks are perpendicular to the earth and that the same length of stick protrudes from the ground. 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. 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. So, for him the following relationship between objects will apply: 7.2 / 360 = 787 / x. In a geocentric ellipsoid, the center of the ellipsoid coincides with some computed center of Earth, and best models the earth as a whole. What Is The Circumference Of The Earth? - WorldAtlas 6,371,000 metersThe value, symbolized rearth, is equal to approximately 6,371,000 meters (6.371 x 106 m). What is the mean radius of the earth is 6370 km. (a) What is - Quora We invite readers to visit us daily, explore topics of interest, and gain new perspectives along the way. The equatorial circumference is simply the circle perimeter: Ce=2a, in terms of the equatorial radius, a. 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. Above we see an object with mass m attached to a spring. Record the measurements. You need to solve physics problems. for an oblate spheroid, the curvatures are. Born and raised in the city of London, Alexander Johnson studied biology and chemistry in college and went on to earn a PhD in biochemistry. The mass of the sun is $329,320$ times that of the earth and | Quizlet The planet's rotation causes it to bulge at the equator. 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. Use the protractor to measure the angle where the string meets the stick at the top. What is the radius of the earth in meters in scientific notation? However, other factors such as the rotation of the Earth also contribute to the net acceleration. {\displaystyle {\frac {\partial r}{\partial \varphi }}} 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. 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). = See answer. What is velocity of bullet in the barrel? Rather, elevation above or below sea level is useful. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. r This answer is: Explore Asteroids In Depth Key Science Targets However, around 1730, Jacques Cassini argued for a prolate spheroid instead, due to different interpretations of the Newtonian mechanics involved. Today we know our planet's circumference is roughly 40,000 kilometers (24,850 miles). The cookies is used to store the user consent for the cookies in the category "Necessary". How cold is it on moon? 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 . So, radius of nth orbit is rn=rn2, as Z=1 for H atom. . Video advice: How Eratosthenes discovered the radius of the earth. Mean radius of planet Earth - MATLAB earthRadius - MathWorks 2 degrees. This video will show you how Eratosthenes calculated the circumference and radius of the Earth in 240 BC!! Then convert km - m. 1 km = 1000 m. 12 756 km = ? Its the only planet with life. Do NOT follow this link or you will be banned from the site! \text{Circumference} = 39,350 \text{\ kilometers}. What is the biggest problem with wind turbines? See the formula used in an example where we are given the diameter of the sphere. Note that the dimensions of h, R and d must be . So if you measure at 11:00am in New York, they should measure at 9:00am in Colorado because of the time difference. The red dot at the lower left corner is its center. example R = earthRadius (lengthUnit) returns the mean radius of the Earth using the length unit specified by lengthUnit. 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. Earth Radius by Latitude Calculator - Rechneronline - Ntzliche Rechner [13], The authalic radius The meridional mean is well approximated by the semicubic mean of the two axes,[citation needed]. You have to use the distance from the center of the Earth, not the distance above Earth's surface, as the radius. 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. p Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. Earth radius (denoted as R or Therefore, if the earth is taken to be a two dimensional object, its perimeter would be equal to the. What is the formula to find radius of Earth? r For Earth, the arithmetic mean radius is 6,371.0088km (3,958.7613mi). Required fields are marked *. 1 Who first calculated the radius of the earth? 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. [1]:3 The nominal polar Earth radius is defined as T Therefore, the difference was 7.2 degrees. What is the scientific name for Earth? Radio Line of Sight Distance Calculator Electrical, RF and How to Find the Radius of the Earth? | An Overview - Toppr-guides 756 mi) on average. ( = The height above sea level of the location is added. 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. (C = 2r) With this information, Eratosthenes inferred that the Earths radius was 6366 km. Solution Verified r Instant free online tool for Earths equatorial radius to meter conversion or vice versa. The circumference of the world may be the distance measured around it. Andrew Blum gives some tips that could students in the high-school class in Clinton, Mississippi because they focus on the Eratosthenes project. ), 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. Measured around the Equator, it is 40,075.017 km (24,901.461 mi). \text {Circumference} = 39,350 \text {\ kilometers} Circumference = 39,350 kilometers. How do you solve for radius and diameter? What is the real radius of the earth? The cookie is used to store the user consent for the cookies in the category "Analytics". For Eratosthenes, the arc was 7.2 degrees. The mathematical expressions above apply over the top of ellipsoid. They are vertices of the ellipse and also coincide with minimum and maximum radius of curvature. 903 mi) at the poles and 6371. 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. .[10]. 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. 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. The distance between Syene and Alexandria is 787 kilometers. The diameter is the distance from side to side, if you. 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). 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. 71% of Earths surface is water. 6 m0. But opting out of some of these cookies may affect your browsing experience. cos The magnitude of the gravitational force between earth and an object is given by the formula. Its nice to determine that measurements taken by a lot of groups, sometimes in under ideal conditions, came so near to the right answer. Where K is the Gaussian curvature, [2], For Earth, the volumetric radius equals 6,371.0008km (3,958.7564mi).[13]. N Skip to main content. 1 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. Thus, the surface of the earth at the equator moves at a speed of 460 meters per secondor roughly 1,000 miles per hour. This cookie is set by GDPR Cookie Consent plugin. Example 2. This equation for acceleration can , Dry ice is the name for carbon dioxide in its solid state. Unless you know indoor location is available inside the geofence, assume that Wi-Fi . [1]:4 [22] For both Aristotle and Eratosthenes, uncertainty in the accuracy of their estimates is due to modern uncertainty over which stadion length they meant. b : the third and usually largest vein of an insect's wing. What is the radius of Earth in meters? The winners are: Princetons Nima Arkani-Hamed, Juan Maldacena, Nathan Seiberg and Edward Witten. r 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. What does EARTH RADIUS mean? R The mathematical expressions above apply over the surface of the ellipsoid. Area of sphere= 4pier 2. The expedition found that Newton's conjecture was correct:[30] the Earth is flattened at the poles due to rotation's centrifugal force. Copyright 2022 - Science-Atlas.com. + "The Earth's mass is about 5.98 10 24 kg". 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 T r The radius of Earth at the equator is 3,963 miles (6,378 kilometers), according to NASA's Goddard Space Flight Center in Greenbelt, Maryland. Hence, we create models to approximate characteristics of Earths surface, generally relying on the simplest model that suits the need. Start your trial now! It does not store any personal data. radius of earth in meters scientific notation, Convert Earths Equatorial Radius to Meter, What Is Radius Of Gyration In Civil Engineering, High Definition 3D Printer Prints 5 Meters per Second, Most Precise Measurement Ever from the Radius of the Planet Outdoors Our Solar System, Scientists Uncover How Quickly-Flying Bats Can Achieve Great Heights well over 1,600 Meters, What Is The Ploidy Of This Cell Model Mastering Biology, Do The Laws Of Thermodynamics Apply In Space, How To Change Google Earth Language To English, Worlds greatest-dwelling squid spotted 20,000 ft underneath the ocean, Hatches Open! Analytical cookies are used to understand how visitors interact with the website. 6.371 10 6 m . = Regarding this, what is the diameter of the Earth in scientific notation? These cookies will be stored in your browser only with your consent. Responsibility disclaimer and privacy policy | About Us | Terms & Conditions | Site Map, Scientific discoveries from around the world. , A few definitions yield values outside the range between polar radius and equatorial radius because they include local or geoidal topography or because they depend on abstract geometrical considerations. {\displaystyle {\mathcal {R}}_{\mathrm {pJ} }^{\mathrm {N} }} The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. 2 Earth radius at sea level is 6378. 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 ). are tangents to the surface. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". [clarification needed]. x and about 6,367.445km (3,956.547mi), can also be used. In summary, local variations in terrain prevent defining a single "precise" radius. How do we measure the diameter of the Earth? F It is the smallest planet in the Solar System, with an equatorial radius of 2,439.7 km. Initially, the idea of a reference ellipsoid was an ellipsoid that best approximated mean ocean level. George Jackson is the founder and lead contributor of Physics Network, a popular blog dedicated to exploring the fascinating world of physics. close. As , EL NORTE is a melodrama divided into three acts. 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. Note that this arc is along a great circle. state. Length in km of 1 of latitude = always 111.32 km Length in km of 1 of longitude = 40075 km * cos ( latitude ) / 360 Share Follow edited Jul 21, 2022 at 14:03 answered Sep 16, 2016 at 21:29 a) The diameter of the earth is approximately 1.276 1 0 7 1.276 \times 10^7 1.276107 m in scientific notation. The circumference of the world measured round the Equatoris approximtely 24,887. 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. Testing, Testing: Space-Bound US-European Water Mission Passes Finals. Earth's volume is estimated at 1 trillion cubic kilometers. This is the outside layer of the earth and is made of solid rock, mostly basalt and granite. wikipedia article on the Juno spacecraft provides an a great overview of this type of process. The first, titled Arturo Xuncax, is set in an Indian village in Guatemala. r = m v 2 F c . Answered: A space traveler weighs 640 N on Earth. | bartleby (e) For that Earth 1/q 289, that is near to the measured inverse flattening 1/f 298. The radius of a circle is the straight-line distance from the very center of the circle to any point on the circle. How do you find the radius of a planet in physics? Answer: Starter The radius of the moon is 1,737,000 meters. Answer (1 of 3): First of all let us consider the shape of the earth to be a sphere. , It is a physical constant which represents the most probable distance between the electron and the nucleus in a hydrogen atom in its ground state. {\displaystyle p=N\cos(\varphi )} Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. Ocean Worlds Resources. The geoid height can change abruptly due to earthquakes (such as the Sumatra-Andaman earthquake) or reduction in ice masses (such as Greenland).[5]. {\displaystyle n={\frac {N}{|N|}}} . for an oblate spheroid, the curvatures are. Due to the exaggerated eccentricity, it is easy to see that "up" is not parallel to the radius. Earth's rocky mantle and metallic core make it the densest planet, at 5.513 grams per cubic centimeter. = The radius of the earth's orbit is 45,000,000 meters. How Far Away Is the Moon? - NASA Space Place Convert the Earth-Sun distance of 93,000,000 miles into. N How to Calculate a Satellite's Speed around the Earth Geometrically, the second fundamental form gives the distance from Also see the Table of Physical Units and Constants. h is the transmitting antenna height above the ground,. [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. Radius refers to a line that connects to the centre point of a circle to any point on its outside layer. Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. Its measured round the Equator and round the rods that provide different values. Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6356.7523142km, V = 1.083211012km3 (2.59881011cumi).[17]. Earth's diameter is simply twice Earth's radius; for example, equatorial diameter (2a) and polar diameter (2b). According to NASA's Goddard Space Flight Center, Earth's radius at the equator is 3,963 miles (6,378 kilometers). Earths rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. Sun: radius = 696,000 kilometers, 100 times larger. Analytical cookies are used to understand how visitors interact with the website. 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. 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). 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. The first published reference to the Earths size appeared around 350BC, when Aristotle reported in his book On the Heavens(18) that mathematicians had guessed the circumference of the Earth to be 400,000 stadia. Equatorial radius is conventionally used as the nominal value unless the polar radius is explicitly required. Answered: You drive down the road at 35 m/s (79 | bartleby m. The radius of the earth is 6378 km. What is the diameter of the earth z This quantity is denoted variously as . Earth radius is the distance from Earth's center to its surface, about 6,371 km (3,959 mi). EARTH RADIUS meaning & explanation. When the Moon is the farthest away, it's 252,088 miles away. Using the following data: the volume of a sphere = (4/3) (pi)R 3 Radius of the earth= 6.3106 m. Mass of earth= 5.9742 10 24 kilograms. Circumference of Earth is the length or the distance around the Earth. 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. Historically, these models were based on regional topography, giving the best reference ellipsoid for the area under survey. arrow_forward. in the second fundamental form for a surface (Equation (123) in[11]): e, f, and g are elements of the shape tensor: n K Mass (10 24 kg) 5.9722 Volume (10 10 km 3) 108.321 Equatorial radius (km) 6378.137 Polar radius (km) 6356.752 Volumetric mean radius (km) 6371.000 Core radius (km) 3485 Ellipticity (Flattening) 0.003353 Mean density (kg/m 3) 5513 Surface gravity (m/s 2) 9.798 Surface acceleration (m/s 2) 9.780 Escape velocity (km/s) 11.186 GM (x 10 6 km 3 /s 2) What is the radius of Earth in gravitation? The formula for the volume of a sphere is V = 4/3 r. , For Earth, the volumetric radius equals 6,371.0008km (3,958.7564mi). Earth's surface area is an estimated 510 km2, and about 29% of the area is land while the other 71% consists of water. 2 However, Earth is not quite a sphere. Earths circumference is the distance around Earth. The radius of the sun at 696,000 km is 109 times the Earth's radius. For this calculation, the longitude isn't needed. p As such, they are topographical geocentric distances, Rt, which depends not only on latitude. At Baltimore, = 39.48o and the length is 111.16 km, nearly. 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. Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. In simple words, radius refers to that line, which originates from any point of the circle and touches the centre point the circle. A How much is a trillion in scientific notation? Also, explore tools to convert Earths equatorial radius or meter to other length units or learn more about length conversions. 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). Refer to the WGS-84 ellipsoid if a more precise value for its polar radius is needed. mpanderla95. Earth, the third planet from the sun, is one of the most unique celestial bodies in our solar system. This section describes the common ways. Eratosthenes' methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. Of course, no one is claiming the size of Earth has actually changed. e The value of the radius is completely dependent upon the latitude in the case of an ellipsoid model, and nearly so on the geoid. Oceanic crust is denser and thinner and mainly composed of basalt. Point on the ellipsoid surface can be defined by the parametric curve equation. 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 , Place the loose end of the string at the end of the cast shadow and hold it taut. Earths Equatorial Radius to Meter Conversion TableEarths Equatorial RadiusMeter (m)0. First week only $6.99! How to convert latitude or longitude to meters? - Stack Overflow

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