what is the radius of the earth in meters what is the radius of the earth in meters

You need to ask yourself questions and then do problems to answer those questions. Literature guides . . = Earth radius conversions Convert Earth radius to other length and distance measurement units using a free online calculator for length/distance unit conversions. which is different from the precise result by under 1m (4105in) the mean of these two axes. How to Find the Radius of the Earth? | An Overview - Toppr-guides Enchanted Learning. Regarding this, what is the diameter of the Earth in scientific notation? The magnitude of the gravitational force between earth and an object is given by the formula. a) The diameter of the earth is approximately 1.276 1 0 7 1.276 \times 10^7 1.276107 m in scientific notation. How many meters is the earth? {\displaystyle r} 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. ] nasa.gov. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. The majority of the data posted was remarkably good, stated Jennifer Fischer, the APS project leader. The orbit of Earth ranges from 1.47 to 1.52 x 10 11 meters from the Sun. 371 106 meters (Earth radius 6. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. F Sun: radius = 696,000 kilometers, > 100 occasions bigger. Now, lets plug in some numbers. h is the transmitting antenna height above the ground,. How do you find the radius of the earth from latitude? What Is The Radius Of Earth In Meters | Science - Science-Atlas.com 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. Earth radius to Meters Conversion - Length Measurement | TrustConverter which differs from the exact result by less than 1m (4105in); the mean of the two axes. Eratosthenes' methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. The radius of the earth is 6378 km. What is the diameter of the earth The earth is made up of three different layers: the crust, the mantle and the core. How do you find the acceleration of a system? 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. (e) For that Earth 1/q 289, that is near to the measured inverse flattening 1/f 298. 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. Necessary cookies are absolutely essential for the website to function properly. 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? Q4. What is the radius of Jupiter in meters in scientific notation? How do you compute the earth's radius at a given geodetic latitude? What is the real radius of the earth? - TeachersCollegesj w 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 geoid height can change abruptly due to earthquakes (such as the Sumatra-Andaman earthquake) or reduction in ice masses (such as Greenland).[5]. 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 . [1]:4 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. \text{Circumference} = 39,350 \text{\ kilometers}. Use scientific notation to show the above value of the radius. This cookie is set by GDPR Cookie Consent plugin. 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). + That's between 28 and 29 Earths. You can do this, too, by using his method. 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. p 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. {\displaystyle K=\kappa _{1}\,\kappa _{2}={\frac {\det \,B}{\det \,A}}} 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. Since the earth's surface is 6.37 x 10 6 m from its center (that's the radius of the earth), the satellite must be a height of. 191 mi) at the equator. 64miles, whereas, whether it ismeasured round the rods, it isapproximately 24,806 miles. 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. N This cookie is set by GDPR Cookie Consent plugin. Added 2022-02-06 15:04:59 subject Physics by rsa072001. After completing his degree, George worked as a postdoctoral researcher at CERN, the world's largest particle physics laboratory. Because the Earth isnt perfectly spherical but instead an oblate spheroid, our planet radius is larger in the equator than in the rods. {\displaystyle e} See answer. Instant free online tool for Earths equatorial radius to meter conversion or vice versa. The total mass of all the asteroids combined is less than that of Earth's Moon. wikipedia article on the Juno spacecraft provides an a great overview of this type of process. The cookies is used to store the user consent for the cookies in the category "Necessary". For a perfect sphere without any mountains, the distance d from a transmitting antenna to the horizon or the line of sight, or radio horizon, can be calculated from the Pythagorean theorem (see the picture above):. R {\displaystyle {\mathcal {R}}_{\mathrm {pJ} }^{\mathrm {N} }} ( Image credit: Ayhan Altun) There are nearly 8 billion people (opens in new tab) living on Earth today, but our planet wasnt always so crowded. It is the only planet in our solar system that sustains life and it is the planet that we can call our own. The circumference of the Earth depends on how it is measured. 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. 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. 2 The information were posted by senior high school classes all over the US, plus some in Canada and Mexico, employed in pairs. Does Bohrs model explain radius of an orbit? cos Measuring the Circumference of the Earth. How do you find the radius of a planet in physics? 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. What does EARTH RADIUS mean? Furthermore, the bulge in the equator shows slow variations. 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. a) Calculate the average density of the white dwarf. Aristotle (384-322 BC) was among the first to recognize the fact of our planet being a round sphere. The IUGG denotes the volumetric radius as R3. Escape velocity = = 22.4 km/sec. where in the first fundamental form for a surface (Equation (112) in[11]): E, F, and G are elements of the metric tensor: r However, other factors such as the rotation of the Earth also contribute to the net acceleration. This value is between 6,378 km, particularly around the equator and about 6,357 km at the poles. In 1993 the WGS84 governing committee voted, with one exception, to retain the 1984 defining values, despite improvements to those defining values. After many, many years, you will have some intuition for the physics you studied. It does not store any personal data. These cookies help provide information on metrics the number of visitors, bounce rate, traffic source, etc. Eratosthenes, the ancient Greek scholar is called the father of geography. (a) Local topography increases the variance, resulting in a surface of profound complexity. E This cookie is set by GDPR Cookie Consent plugin. What is the mean radius of the earth is 6370 km. (a) What is - Quora PDF PHYSICS 111 HOMEWORK SOLUTION #13 - New Jersey Institute of Technology 001 km (3958. 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. But opting out of some of these cookies may affect your browsing experience. In Eratosthenes case, the distance was 787 kilometers, so for him, the following relation applied: where x = the circumference of the Earth in kilometers. 1o = 180 radian. This is the radius that Eratosthenes measured in his arc measurement. ) is the distance from the center of Earth to a point on or near its surface. 2 degrees. 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 b : the third and usually largest vein of an insect's wing. 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. The circumference of the world measured round the Equatoris approximtely 24,887. R The Earth. r What is the earths radius in meters? - Atom Particles 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. Around 1690, Isaac Newton and Christiaan Huygens argued that Earth was closer to an oblate spheroid than to a sphere. , For Earth, the volumetric radius equals 6,371.0008km (3,958.7564mi). 371 106 m), the bottom unit of length within the Worldwide System of Units (SI). The cookie is used to store the user consent for the cookies in the category "Analytics". At room temperature, it will go from a solid to a gas directly. What is the radius of the sun in meters? - Answers This is roughly 6,371 kilometers (km) or 3,960 statute miles. The model is rotated in a wind tunnel at a rotational speed of 500 rev/minrev/min. The radius of a parallel of latitude is given by Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. = Reviving Erastosthenes, 2022-year-old experiment using the angle of the sun to measure the radius of the Earth. 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. Answer: Starter The radius of the moon is 1,737,000 meters. It does not store any personal data. It is 6356. Area of sphere= 4pier 2. The magnitude of the gravitational force between earth and an object is given by the formula. Video advice: How Eratosthenes discovered the radius of the earth. Convert the Earth-Sun distance of 93,000,000 miles into. about 6,367.445km (3,956.547mi), can also be used. 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 n={\frac {N}{|N|}}} 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 . Since pi is an infinite number, the calculations in Step 6 will be more accurate. Wittenberg is a nationally ranked liberal arts institution with a particular strength in the sciences. nasa.gov. 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 . Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6356.7523142km, V = 1.083211012km3 (2.59881011cumi).[17]. Advertisement cookies are used to provide visitors with relevant ads and marketing campaigns. How do you find the radius in circular motion? = Ocean Worlds Resources. When he's not busy exploring the mysteries of the universe, George enjoys hiking and spending time with his family. Similarly very small numbers are written using negative exponents, e. The very first printed mention of Earths size made an appearance around 350BC, when Aristotle reported in the book Around the Heavens(18) that mathematicians had suspected the circumference of the world to become 400,000 stadia. Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). What is the radius of Earth in exponential form? , He observed lunar eclipses and noticed that only a round sphere could imply a circular shadow. The reason for keeping those older values was GPS. The mathematical expressions above apply over the surface of the ellipsoid. Therefore, the Earth radius isn't constant, but it can be calculated for every location. 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. At Baltimore, = 39.48o and the length is 111.16 km, nearly. What is the real radius of the earth? This topographical average is 6,371.230km (3,958.899mi) with uncertainty of 10m (33ft).[16]. The extrema geocentric radii on the ellipsoid coincide with the equatorial and polar radii. Thus, the surface of the earth at the. The typical radius of the world is roughly 6. The radius of the Earth is 6371 km. What is the radius of Earth in gravitation? However, for purposes of uniformity and use in geophysics and astronomy, the nominal earth radius is used, which is about 6, 371 km. N Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. 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. 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. Answered: You drive down the road at 35 m/s (79 | bartleby [13], The authalic radius How fast is the earth moving? - Scientific American The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. So, its circumference varies depending on how you calculate it. Earth's rocky mantle and metallic core make it the densest planet, at 5.513 grams per cubic centimeter. Additionally, the bulge at the equator shows slow variations. [24] Claudius Ptolemy around 150AD gave empirical evidence supporting a spherical Earth,[25] but he accepted the lesser value attributed to Posidonius. The Earths equatorial radius to meter (m) conversion table and conversion steps are also listed. arrow_forward. Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). 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. r . More than 2,000 years ago Eratosthenes compared the position of the Suns rays in two locations to calculate the spherical size of the Earth with reasonable accuracy. = The International Union of Geodesy and Geophysics (IUGG) provides three reference values: the mean radius (R1) of three radii measured at two equator points and a pole; the authalic radius, which is the radius of a sphere with the same surface area (R2); and the volumetric radius, which is the radius of a sphere having the same volume as the ellipsoid (R3). Example 2. Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). e What is the radius of Moon? - Heimduo When it's closest, the Moon is 225,623 miles away. The standard English name of the planet, including in science, is Earth. The current best estimate for the mass of the Earth is M = 5.97221024 kg, with a standard uncertainty of 61020 kg (relative uncertainty 104). 6,371 kmEarth / RadiusAccording 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. [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. T he circumference of the Earth (around the equator) is approximately 24,887 miles. A Just how much is really a trillion in scientific notation? \text {Circumference} = 39,350 \text {\ kilometers} Circumference = 39,350 kilometers. Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. {\displaystyle w^{2}=\lambda ,}. {\displaystyle R_{2}} Drive one of the meter sticks into the ground in your location in a sunny spot. mpanderla95. Solution Verified The earth rotates once every 23 hours, 56 minutes and 4.09053 seconds, called the sidereal period, and its circumference is roughly 40,075 kilometers. p As an example, we will use Eratosthenes measurements. How Far Away Is the Moon? - NASA Space Place Earths circumference is the distance around Earth. | Its measured round the Equator and round the rods that provide different values. 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. E We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. What is the radius of the earth in physics? [Updated!] The diameter is the distance from side to side, if you. Semi-minor axis b = 6356752.3142 meters. Ans. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". What is the radius of Earth in meters? | Homework.Study.com Surveyors today use a variety of instruments and calculations to determine the size of the Earth and collect other relevant data. High School Students Measure New Value for Earth's Radius to Celebrate The bulge had been decreasing, but since 1998 the bulge has increased, possibly due to redistribution of ocean mass via currents.