(clarification needed). Eratosthenes' methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. Use the protractor to measure the angle where the string meets the stick at the top. Then convert km - m. 1 km = 1000 m. 12 756 km = ? Today we know our planet's circumference is roughly 40,000 kilometers (24,850 miles). 2013-09-16 00:47:38. Since Earth is roughly spherical, calculating its volume is relatively simple. | Other ways to define and measure the Earth radius involve the radius of curvature. r . Venus is included with a thick, quickly spinning atmosphere, developing a scorched world with temperatures hot enough to melt lead along with a surface pressure 90 occasions those of Earth. After many, many years, you will have some intuition for the physics you studied. , 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. 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. Earth radius Conversion conversion table Earth radius to Meters Conversion Table Meters [ m ] T he circumference of the Earth (around the equator) is approximately 24,887 miles. , The standard English name of the planet, including in science, is Earth. 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. 371 106 m), the bottom unit of length within the Worldwide System of Units (SI). 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. How do we measure the diameter of the Earth? 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. A: . less than 6400 km. 903 mi) at the poles and 6371. Earths Equatorial Radius to Meter Conversion Table, How to Convert Earths Equatorial Radius to Meter, Convert Earths Equatorial Radius to Other Length Units. c) Calculate the gravitational potential energy associated with a 4.93-kg object at the Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. How do you find the radius of the earth from the circumference? The Earth's polar radius of curvature (either meridional or prime-vertical) is: The principal curvatures are the roots of Equation (125) in:[11]. r So escape velocity of the planet will be 22.4 km/sec Have your partner do the same in her location at the exact same time. {\displaystyle r} Her latest book, "A Travel for Taste: Germany," was published in 2015. Earth is the third planet from the sun. 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. {\displaystyle {\frac {\partial r}{\partial \lambda }}} All Right Reserved. The IUGG denotes the volumetric radius as R3. where. A rough, general figure for the Earths mean orbital speed is 30 kilometers per second (km/s), or 18 miles per second (mi/s). 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. Earth's volume, or that of the reference ellipsoid, is V = 4/3a2b. Therefore, the Earth radius isn't constant, but it can be calculated for every location. A model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip. 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. = What is the radius of Earth in exponential form? How do you use the Pythagorean Theorem to find the radius of the earth? University of Texas: Eratosthenese Finds Diameter of Earth, Partner in a distant location on about the same longitude or in the same time zone. nasa.gov. [13], The authalic radius = Karren Doll Tolliver holds a Bachelor of English from Mississippi University for Women and a CELTA teaching certificate from Akcent Language School in Prague. Physics, 22.06.2022 11:40, yfnal3x. e K Necessary cookies are absolutely essential for the website to function properly. At the poles, = 90o and the length = 110.95 km, nearly. [1]:3 The nominal polar Earth radius is defined as 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 . 2 degrees. Because of the Earths rapid rotation, it stretches out the planet; this results in the South pole and North pole actually being slight closer than locations opposite on the equator because the shape of the Earth is not a spheroid (not a perfect sphere). That's almost 32 Earths. Thus, the radius of the earth in meters in scientific notation is 6.371106m. 06. Putting in the numbers, you have Dividing both sides by m1 gives you the acceleration due to gravity: Newton's law of gravitation gives you the acceleration due to gravity near the surface of the Earth: 9.8 meters/second 2. {\displaystyle r+dr} How cold is it on moon? to the plane tangent at You can do this, too, by using his method. 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). He observed lunar eclipses and noticed that only a round sphere could imply a circular shadow. r Subtract the angle measurements to determine the difference in the angle of shadows between the two locations. This cookie is set by GDPR Cookie Consent plugin. The geoid height can change abruptly due to earthquakes (such as the Sumatra-Andaman earthquake) or reduction in ice masses (such as Greenland).[5]. The geoid height variation is under 110m (360ft) on Earth. Let us calculate area of earth using this formula area=4x22/76370= 5.110 4. 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. Geometrically, the second fundamental form gives the distance from 137 km (3963. a) The diameter of the earth is approximately 1.276 1 0 7 1.276 \times 10^7 1.276107 m in scientific notation. For Eratosthenes, at midday on the summer solstice where the suns angle was directly overhead, the angle was zero. How did early mathematicians determine the radius of the earth? He studied in Athens at the Lyceum. 5.98 10 24 kg. 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. Find the level of Earth in cubic meters. , Does Wittenberg have a strong Pre-Health professions program? Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. As an example, we will use Eratosthenes measurements. 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.) The other two are the radii of curvature. p The diameter is the distance from side to side, if you. One can only adopt an idealized model. The height above sea level of the location is added. [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. r The first and second radii of curvature correspond, respectively, to the Earth's meridional and prime-vertical radii of curvature. Required fields are marked *. How do you express the earths diameter in scientific notation? Thus the curvature found this way is smaller than the curvature of a circle of constant latitude, except at the equator. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. You have to use the distance from the center of the Earth, not the distance above Earth's surface, as the radius. What is the fluid speed in a fire hose with a 9.00 cm diameter carrying 80.0 l of water per second? What physical measurement / elevation is used to define Earths radius? 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. 149597870700 meters nearly This is 10-sd (significant digits) approximation. R=6370 3. close. find the radius of mars. 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 , This cookie is set by GDPR Cookie Consent plugin. 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. The total mass of all the asteroids combined is less than that of Earth's Moon. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. , The planet's rotation causes it to bulge at the equator. F Solution Verified Earth radius conversions Convert Earth radius to other length and distance measurement units using a free online calculator for length/distance unit conversions. Wittenberg is a nationally ranked liberal arts institution with a particular strength in the sciences. T The circumference of the Earth depends on how it is measured. 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. When we rearrange the equation and plug all the numbers in, we find that the mass of the Earth is 5.96 1024 kg. In 200 B.C. 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 . K 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. In 1993 the WGS84 governing committee voted, with one exception, to retain the 1984 defining values, despite improvements to those defining values. What happens to the dry ice at room pressure and temperature? r . Regarding this, what is the diameter of the Earth in scientific notation? {\displaystyle r=[r^{1},r^{2},r^{3}]^{T}=[x,y,z]^{T}} f The orbit of Earth ranges from 1.47 to 1.52 x 10 11 meters from the Sun. As , EL NORTE is a melodrama divided into three acts. arrow_forward. In a geocentric ellipsoid, the center of the ellipsoid coincides with some computed center of Earth, and best models the earth as a whole. Learn what is circumference of a sphere, how to calculate the circumference of the Earth with the help of solved examples. where e2 = a2 b2/a2 and A is the surface area of the spheroid. Because the Earth isnt perfectly spherical but instead an oblate spheroid, our planet radius is larger in the equator than in the rods. About Earth radiusThe Earth radius, or even the radius of the world, may be the distance from the middle of our planet towards the surface. Radius of planet R = 2 x radius of earth = 2 x 6.4 x 10 6 m. G = gravitational constant = 6.67 x 10-11 N m 2 /kg 2. 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. Our descriptions of Earth's surface must be simpler than reality in order to be tractable. 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. Furthermore, the bulge in the equator shows slow variations. for the nominal polar Jupiter radius. A sphere being a gross approximation of the spheroid, which itself is an approximation of the geoid, units are given here in kilometers rather than the millimeter resolution appropriate for geodesy. 6,371,000 metersThe value, symbolized rearth, is equal to approximately 6,371,000 meters (6.371 x 106 m). So, its circumference varies depending on how you calculate it. 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? 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. 1 Here x is the circumference of the earth. While specific values differ, the concepts in this article generalize to any major planet. B 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! The answer would be 695 500 000 m. Wiki User. Point B, which appears due east from A, will be closer to the equator than A. The radius of the sun at 696,000 km is 109 times the Earth's radius. The radius of a chlorine atom is approximately meters. What is the radius of the parallel of latitude? Acceleration due to gravity is a vector, which means it has both a magnitudeand a direction. 2 Chapter P, Problem 13E is solved. (e) For that Earth 1/q 289, that is near to the measured inverse flattening 1/f 298. In summary, local variations in terrain prevent defining a single "precise" radius. {\displaystyle r} R For the Earth, the authalic radius is 6,371.0072km (3,958.7603mi). Eratosthenes, the ancient Greek scholar is called the father of geography. There are two types of crust; oceanic and continental. 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. {\displaystyle K=\kappa _{1}\,\kappa _{2}={\frac {\det \,B}{\det \,A}}} How do you find the acceleration of a system? First week only $6.99! 4.23 x 10 7 m - 6.37 x 10 6 m . 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. The structure of the Earths upper mantle can be derived from seismic waves. Record the distance between your location and your partners location. At what distance above the surface of earth, the gravitational force will be reduced by 10%, if the radius of earth is 6370 Km. N The various radii derived here use the notation and dimensions noted above for the Earth as derived from the WGS-84 ellipsoid;[6] namely. Therefore, the difference was 7.2 degrees. What is the scientific name for Earth? 756 mi) on average. example R = earthRadius (lengthUnit) returns the mean radius of the Earth using the length unit specified by lengthUnit. How did Aristotle know the earth was round? 2023 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. 0 2 Instant free online tool for Earths equatorial radius to meter conversion or vice versa. The Earth's meridional radius of curvature at the equator equals the meridian's semi-latus rectum: The Earth's prime-vertical radius of curvature at the equator equals the equatorial radius, N = a. for an oblate spheroid, the curvatures are. = What is the number in scientific notation? EARTH RADIUS meaning & explanation. 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. . This is the radius that Eratosthenes measured in his arc measurement. Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. 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. Hence, we create models to approximate characteristics of Earths surface, generally relying on the simplest model that suits the need. It does not store any personal data. The information were posted by senior high school classes all over the US, plus some in Canada and Mexico, employed in pairs. T The acceleration due to gravity at the surface of Earthis represented by the letter g. 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". Earth, the third planet from the sun, is one of the most unique celestial bodies in our solar system. y Ans. Your partner should measure at the same time, regardless of time difference. Its volume is 803.84 cubic meters. Since pi is an infinite number, the calculations in Step 6 will be more accurate.