Analytical cookies are used to understand how visitors interact with the website. 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. "The Earth's mass is about 5.98 10 24 kg". 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 What is the Radius and Diameter of a Circle? The Earths equatorial radius to meter (m) conversion table and conversion steps are also listed. Mass of the Earth - The Physics Factbook - hypertext-book This calculated value became a defining value in 1993. High School Students Measure New Value for Earth's Radius to Celebrate 6 m0. Circumference of Earth is the length or the distance around the Earth. 1 What is the radius of the sun in meters? - Answers 257. state. Its measured round the Equator and round the rods that provide different values. How to Calculate the Circumference of the Earth? See the formula used in an example where we are given the diameter of the sphere. After many, many years, you will have some intuition for the physics you studied. h is the transmitting antenna height above the ground,. It has an average density of 5.5 g/cm3. T he circumference of the Earth (around the equator) is approximately 24,887 miles. [e] For the Earth .mw-parser-output .sfrac{white-space:nowrap}.mw-parser-output .sfrac.tion,.mw-parser-output .sfrac .tion{display:inline-block;vertical-align:-0.5em;font-size:85%;text-align:center}.mw-parser-output .sfrac .num,.mw-parser-output .sfrac .den{display:block;line-height:1em;margin:0 0.1em}.mw-parser-output .sfrac .den{border-top:1px solid}.mw-parser-output .sr-only{border:0;clip:rect(0,0,0,0);height:1px;margin:-1px;overflow:hidden;padding:0;position:absolute;width:1px}1/q 289, which is close to the measured inverse flattening 1/f 298.257. In general, this points to an important conclusion about nature itself. ] The mathematical expressions above apply over the surface of the ellipsoid. Earths circumference is the distance around Earth. Literature guides . 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. {\displaystyle w^{1}=\varphi } Its volume is 803.84 cubic meters. Solar System Homework #1 Answers - austincc.edu The mathematical expressions above apply over the top of ellipsoid. So, for him the following relationship between objects will apply: 7.2 / 360 = 787 / x. 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 answer is: which is different from the precise result by under 1m (4105in) the mean of these two axes. = 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. 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. The following equation estimates the ellipsoid radius ( r s ) using flattening ( f ) , geocentric latitude ( s ) , and equatorial radius ( R ) : r s = R 2 1 + [ 1 / ( 1 f ) 2 1 ] sin 2 s . Eratosthenes' methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. For the Earth, the authalic radius is 6,371.0072km (3,958.7603mi). d Testing, Testing: Space-Bound US-European Water Mission Passes Finals. where. Initially, the idea of a reference ellipsoid was an ellipsoid that best approximated mean ocean level. [27] However, the 1492 enactment of that voyage brought his fleet to the Americas. How to convert radius in metres to pixels in mapbox leaflet? The distance between Syene and Alexandria is 787 kilometers. The radius of the earth's orbit is 45,000,000 meters. 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 value is between 6,378 km, particularly around the equator and about 6,357 km at the poles. 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. w The diameter is the distance from side to side, if you. How did Aristotle know the earth was round? This cookie is set by GDPR Cookie Consent plugin. How far is the center of the Earth in KM? As such, they are topographical geocentric distances, Rt, which depends not only on latitude. Its surface gravity is 274 m/s 2 or 28.0 times that of the Earth. By 1490, Christopher Colombus believed that traveling 3,000 miles west from the west coast of the Iberian peninsula would let him reach the eastern coasts of Asia. ( Answer (1 of 3): First of all let us consider the shape of the earth to be a sphere. As satellite remote sensing and especially the Global Positioning System gained importance, true global models were developed which, while not as accurate for regional work, best approximate the Earth as a whole. What is the radius of the earth in meters? - Answers In particular, the Earth's meridional radius of curvature (in the northsouth direction) at is: where What is the radius of the parallel of latitude? Go farther. arrow_forward. 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. Answered: You drive down the road at 35 m/s (79 | bartleby 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 . {\displaystyle {\mathcal {R}}_{\mathrm {eE} }^{\mathrm {N} }} This cookie is set by GDPR Cookie Consent plugin. \text {Circumference} = 39,350 \text {\ kilometers} Circumference = 39,350 kilometers. Your email address will not be published. The typical radius of the world is roughly 6. Where K is the Gaussian curvature, Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). 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. If no sub- or superscripts appear on this page - for example, if the "Mass" is given in units of "(1024 kg)" - you may want to check the notes on the sub- and superscripts. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. A The radius of the earth is the straight distance from the earth's center to a point on its surface. How did we determine the size of the Earth? , Let us calculate area of earth using this formula area=4x22/76370= 5.110 4. 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. How do we measure the diameter of the Earth? What is the scientific name for Earth? How to Find the Radius of the Earth | Sciencing When the Moon is the farthest away, it's 252,088 miles away. A consequence is that a distance to the true horizon at the equator is slightly shorter in the northsouth direction than in the eastwest direction. This topographical average is 6,371.230km (3,958.899mi) with uncertainty of 10m (33ft).[16]. Radius refers to a line that connects to the centre point of a circle to any point on its outside layer. 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. When it is measured around the equator, it is40,075 km (approximately, 24,901 miles), whereas, if it measured from the north pole to the south pole it is40,008 km (approximately, 24,860 miles). How big is Earth? | Space The IUGG denotes the authalic radius as R2. det This section describes the common ways. Have your partner do the same in her location. Find the volume of Earth in cubic meters. Its better to have a reference ellipsoid that is constant over time than it is to have an ever improving best fit ellipsoid. This difference is the geoid height, positive above or outside the ellipsoid, negative below or inside. A body on the surface of a planet with the same radius as Earth's weighs 10 times more than it does on Earth. Its nice to determine that measurements taken by a lot of groups, sometimes in under ideal conditions, came so near to the right answer. Escape velocity = = 22.4 km/sec. Circumference of the Earth in Meters Note that the dimensions of h, R and d must be . . Earth radius at sea level is 6378. N {\displaystyle {\mathcal {R}}_{\mathrm {pE} }^{\mathrm {N} }} What is the radius between the Earth and the Sun in meters? This cookie is set by GDPR Cookie Consent plugin. , Hence the required distance is. Part 4: Computation . = 6,356.8km (3,949.9mi). The other two are the radii of curvature. Regarding this, what is the diameter of the Earth in scientific notation? On solving the circumference of the earth we get 39,350 kilometres. ] 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. Have Bugged an area Rock to pay attention In on Earthlings? The bulge had been decreasing, but since 1998 the bulge has increased, possibly due to redistribution of ocean mass via currents. 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 Since pi is an infinite number, the calculations in Step 6 will be more accurate. 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). What is the mean radius of the earth is 6370 km. (a) What is - Quora Explore Asteroids In Depth Key Science Targets 2013-09-16 00:47:38. 3 Hence, we create models to approximate characteristics of Earth's surface, generally relying on the simplest model that suits the need. Overview | Asteroids - NASA Solar System Exploration What is the mass of this planet in terms of Earth's mass? K In his writing, Alexander covers a wide range of topics, from cutting-edge medical research and technology to environmental science and space exploration. 7564mi). How do you solve for radius and diameter? f Likewise for surface area, either based on a map projection or a geodesic polygon. Earths Equatorial Radius to Meter Conversion TableEarths Equatorial RadiusMeter (m)0. arrow_forward. How do you compute the earth's radius at a given geodetic latitude? r Could E.T. Mathematically, Earth is a spheroid. What is the Circumference of the Earth? Calculation, Examples This cookie is set by GDPR Cookie Consent plugin. How do you use the Pythagorean Theorem to find the radius of the earth? N , and because to have an oblate spheroid, the curvatures are. 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. Your partner should measure at the same time, regardless of time difference. The radius of the earth is 6378 km. What is the diameter of the earth This astronomical observation was confirmed by general observations made at sea. Responsibility disclaimer and privacy policy | About Us | Terms & Conditions | Site Map, Scientific discoveries from around the world. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. = [9] is normal to the surface at Video advice: How Eratosthenes discovered the radius of the earth. Earths Equatorial Radius to Meter Conversion Table, How to Convert Earths Equatorial Radius to Meter, Convert Earths Equatorial Radius to Other Length Units. = Measurement of Earths circumference has been important to navigation since ancient times. The IUGG denotes the volumetric radius as R3. 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. The extrema geocentric radii on the ellipsoid coincide with the equatorial and polar radii. These cookies track visitors across websites and collect information to provide customized ads. Not all deformations originate within the Earth. The circumference of the world measured round the Equatoris approximtely 24,887. F And we end up with 12.6 meters per second , Firearm muzzle velocities range from approximately 120 m/s (390 ft/s) to 370 m/s (1,200 ft/s) in black powder muskets, to more than 1,200 m/s (3,900 ft/s) in modern rifles with high-velocity cartridges such as the , Summary. In summary, local variations in terrain prevent defining a single "precise" radius. are tangents to the surface. example R = earthRadius (lengthUnit) returns the mean radius of the Earth using the length unit specified by lengthUnit. Its SIunit is m/s2. Sun: radius = 696,000 kilometers, > 100 occasions bigger. Solved Gravity:In physics, it is established that the | Chegg.com These values correspond to the zero Earth tide convention. What is the radius of the earth in physics? [Updated!] 06. When he's not busy exploring the mysteries of the universe, George enjoys hiking and spending time with his family. Sun: radius = 696,000 kilometers, 100 times larger. Our Planet radius is really a unit of distance utilized in astronomy and geology. 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 Radius by Latitude Calculator - Rechneronline - Ntzliche Rechner r e How many miles is a meter in scientific notation? Reviving Erastosthenes, 2022-year-old experiment using the angle of the sun to measure the radius of the Earth. January 2023: The Next Full Moon is the Wolf or Ice Moon. The cookies is used to store the user consent for the cookies in the category "Necessary". The structure of the Earths upper mantle can be derived from seismic waves. The geoid height can change abruptly due to earthquakes (such as the Sumatra-Andaman earthquake) or reduction in ice masses (such as Greenland).[5]. How did early mathematicians determine the radius of the earth? Thus the curvature found this way is smaller than the curvature of a circle of constant latitude, except at the equator. However, Earth is not quite a sphere. George Jackson is the founder and lead contributor of Physics Network, a popular blog dedicated to exploring the fascinating world of physics. 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. Around 1690, Isaac Newton and Christiaan Huygens argued that Earth was closer to an oblate spheroid than to a sphere. {\displaystyle R_{2}} 2 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). 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. Wittenberg is a nationally ranked liberal arts institution with a particular strength in the sciences. Use scientific notation to show the above value of the radius. Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. 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 ). 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. Earth is the third planet from the sun. 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. Surveyors today use a variety of instruments and calculations to determine the size of the Earth and collect other relevant data. We must convert the radius into centimeters: R Moon = 1738 km X (1000m / km) X (100cm / m) = 1.738 X 10 8 cm. R=6370 3. What is the radius of the parallel of latitude? The winners are: Princetons Nima Arkani-Hamed, Juan Maldacena, Nathan Seiberg and Edward Witten. Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. This implies that for a given mass and velocity, a large centripetal force causes a small radius of curvaturethat is, a tight curve, as in (Figure). When it's closest, the Moon is 225,623 miles away. Solving for x reveals the circumference to be. {\displaystyle {\frac {\partial r}{\partial \varphi }}} This length is also used as a unit of distance, especially in astronomy and geology, where it is usually denoted by R. This website uses cookies to improve your experience while you navigate through the website. Hence, the Earth deviates from a perfect sphere by only a third of a percent, which supports the spherical model in most contexts and justifies the term "radius of the Earth". A model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip. What is the Radius of the Earth? 752 km (3949. The Earth. The information were posted by senior high school classes all over the US, plus some in Canada and Mexico, employed in pairs. 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. The standard English name of the planet, including in science, is Earth. r . 1999. T c) Calculate the gravitational potential energy associated with a 4.93-kg object at the View this answer. The geoid height variation is under 110m (360ft) on Earth. You also have the option to opt-out of these cookies. 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. In a geocentric ellipsoid, the center of the ellipsoid coincides with some computed center of Earth, and best models the earth as a whole. Thus, the radius of the earth in meters in scientific notation is 6.371106m. The first, titled Arturo Xuncax, is set in an Indian village in Guatemala. nasa.gov. For Eratosthenes, at midday on the summer solstice where the suns angle was directly overhead, the angle was zero. Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). r Venus is covered by a thick, rapidly spinning atmosphere, creating a scorched world with temperatures hot enough to melt lead and a surface pressure 90 times that of Earth. Earth Radius by Latitude Calculator Calculates radius and diameter of the Earth for a given latitude. Our descriptions of Earth's surface must be simpler than reality in order to be tractable. It is possible to combine the principal radii of curvature above in a non-directional manner. a) The radius of the earth is 4000 miles. The magnitude of the gravitational force between earth and an object is given by the formula. ), 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. What does EARTH RADIUS mean? These cookies ensure basic functionalities and security features of the website, anonymously. less than 6400 km. First week only $6.99! (a) Local topography increases the variance, resulting in a surface of profound complexity. Because the Earth isnt perfectly spherical but instead an oblate spheroid, our planet radius is larger in the equator than in the rods. 137 km (3963. In 200 B.C. Use a scientific calculator. Note that this arc is along a great circle. You need to solve physics problems. 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). r This is the radius that Eratosthenes measured in his arc measurement. r = 39350/ 6.28 = 6267 kilometer. Instant free online tool for Earths equatorial radius to meter conversion or vice versa. Earth radius is the distance from Earth's center to its surface, about 6,371 km (3,959 mi). 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 , Earth's rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. . What is the radius of the earth equation? [Ultimate Guide!] 1 What is the radius of Jupiter in meters in scientific notation? 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. [1]:3 The nominal polar Earth radius is defined as In late August of 2003, Mars was at its closest point to Earth in about 60,000 years! {\displaystyle K=\kappa _{1}\,\kappa _{2}={\frac {\det \,B}{\det \,A}}} However, Earth is not quite a sphere. E R = 6371 km is the mean Earth radius.. However, for purposes of uniformity and use in geophysics and astronomy, the nominal earth radius is used, which is about 6, 371 km. 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. Therefore, the distance you use in the equation is the distance between the two orbiting bodies. Necessary cookies are absolutely essential for the website to function properly. This idea predates satellite-based geodesy by centuries. (clarification needed). [13], Earth's authalic radius (meaning "equal area") is the radius of a hypothetical perfect sphere that has the same surface area as the reference ellipsoid. Answered: the radious of earth is 6378.1 km, | bartleby The orbit of Earth ranges from 1.47 to 1.52 x 10 11 meters from the Sun. 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). Now, lets plug in some numbers. Copyright 2022 - Science-Atlas.com.