what is the radius of the earth in meters

z Answer (1 of 3): First of all let us consider the shape of the earth to be a sphere. With Online calculator: Earth Radius by Latitude (WGS 84) - PLANETCALC How many meters is the earth? What is the radius of the earth in meters? - Answers So, radius of nth orbit is rn=rn2, as Z=1 for H atom. [9] Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. {\displaystyle w^{1}=\varphi } Our Planet radius is really a unit of distance utilized in astronomy and geology. What is the biggest problem with wind turbines? Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. 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. 371 106 m), the bottom unit of length within the Worldwide System of Units (SI). These cookies will be stored in your browser only with your consent. How do you find the radius of the Earth using trigonometry? Historically, these models were based on regional topography, giving the best reference ellipsoid for the area under survey. What is the radius of the Moon around the Earth? Earths circumference is the distance around Earth. Find the volume of Earth in cubic meters. .[10]. Have Bugged an area Rock to pay attention In on Earthlings? New Arrivals Expand Space Stations Crew to 6. What are the formula in calculating the earth? You also have the option to opt-out of these cookies. Subtract the angle measurements to determine the difference in the angle of shadows between the two locations. T he circumference of the Earth (around the equator) is approximately 24,887 miles. b : the third and usually largest vein of an insects wing. However, around 1730, Jacques Cassini argued for a prolate spheroid instead, due to different interpretations of the Newtonian mechanics involved. The radius of a circle is the straight-line distance from the very center of the circle to any point on the circle. Earth's volume, or that of the reference ellipsoid, is V = 4/3a2b. Surveyors today use a variety of instruments and calculations to determine the size of the Earth and collect other relevant data. As an example, we will use Eratosthenes measurements. 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. Measured around the Equator, it is 40,075.017 km (24,901.461 mi). It is 6356. This quantity is denoted variously as . The orbit of Earth ranges from 1.47 to 1.52 x 10 11 meters from the Sun. What is the radius between the Earth and the Sun in meters? Go farther. ) is the distance from the center of Earth to a point on or near its surface. Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). The distance between Syene and Alexandria is 787 kilometers. 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. where. Earths radius is usually given as 6378137 meters (equatorial radius), its flattening is defined as 1/298.257223 (WGS84), and thus its polar radius is calculated as 6356752 meters.However, the av. International Space Station Facts and Figures | NASA By clicking Accept, you consent to the use of ALL the cookies. 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. [a] Local topography increases the variance, resulting in a surface of profound complexity. The IUGG denotes the volumetric radius as R3. The topographical mean geocentric distance averages elevations everywhere, resulting in a value 230m larger than the IUGG mean radius, the authalic radius, or the volumetric radius. This is the radius that Eratosthenes measured in his arc measurement. 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. . Use the protractor to measure the angle where the string meets the stick at the top. Around 1690, Isaac Newton and Christiaan Huygens argued that Earth was closer to an oblate spheroid than to a sphere. 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. Thus, the surface of the earth at the equator moves at a speed of 460 meters per secondor roughly 1,000 miles per hour. 6.371 10 6 m . Answered: You drive down the road at 35 m/s (79 | bartleby Hence 1km=10001000m=10m 6. This table summarizes the accepted values of the Earth's radius. 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". 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. For Eratosthenes, at midday on the summer solstice where the suns angle was directly overhead, the angle was zero. Geometrically, the second fundamental form gives the distance from Since pi is an infinite number, the calculations in Step 6 will be more accurate. 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 red dot at the lower left corner is its center. 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. (8,849 meters), but it is not the highest point on Earth that is, the place most distant from the . 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. {\displaystyle 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. Learn what is circumference of a sphere, how to calculate the circumference of the Earth with the help of solved examples. A nominal Earth radius is sometimes used as a unit of measurement in astronomy and geophysics, which is recommended by the International Astronomical Union to be the equatorial value.[1]. In general, this points to an important conclusion about nature itself. Its surface gravity is 274 m/s 2 or 28.0 times that of the Earth. This answer is: e is normal to the surface at This length is also used as a unit of distance, especially in astronomy and geology, where it is usually denoted by R. Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. 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 is the formula of radius of nucleus? find the radius of mars. PDF Radius of the Earth - Radii Used in Geodesy - Naval Postgraduate School Physics, 22.06.2022 11:40, yfnal3x. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. We must convert the radius into centimeters: R Moon = 1738 km X (1000m / km) X (100cm / m) = 1.738 X 10 8 cm. You must measure the angle of shadows in the two locations at the exact same time on the exact same day or the calculations will be erroneous. Please enter the latitude in decimal degrees, here you can convert coordinates. A body on the surface of a planet with the same radius as Earth's weighs 10 times more than it does on Earth. 1o = 180 radian. 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. The standard English name of the planet, including in science, is Earth. Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. While specific values differ, the concepts in this article generalize to any major planet. r . , For Earth, the volumetric radius equals 6,371. Mathematics of Satellite Motion - The Physics Classroom 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 7.2 degrees. 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 radius (denoted as R or Not all deformations originate within the Earth. 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). In 200 B.C. 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.) [4], The variation in density and crustal thickness causes gravity to vary across the surface and in time, so that the mean sea level differs from the ellipsoid. Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6356.7523142km, V = 1.083211012km3 (2.59881011cumi).[17]. 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. The WGS84 ellipsoid can be used worldwide (such as the ridiculously over-precise flattening value). It does not store any personal data. Ans. The circumference of the world may be the distance measured around it. Now, lets plug in some numbers. Radius refers to a line that connects to the centre point of a circle to any point on its outside layer. w . Example 2. Have your partner do the same in her location at the exact same time. 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). It is 6356.752 km (3949.903 mi) at the poles and 6371.001 km (3958.756 mi) on average. 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. Enchanted Learning. 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 . Necessary cookies are absolutely essential for the website to function properly. Note that the dimensions of h, R and d must be . Earth Fact Sheet - NASA He observed lunar eclipses and noticed that only a round sphere could imply a circular shadow. 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 ). Start your trial now! When the Moon is the farthest away, it's 252,088 miles away. 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. [2] All three values are about 6,371 kilometres (3,959mi). 0008km (3,958. High School Students Measure New Value for Earths Radius to Celebrate World Physics Year. = Aristotle (384-322 BC) was among the first to recognize the fact of our planet being a round sphere. Acceleration due to gravity is a vector, which means it has both a magnitudeand a direction. This cookie is set by GDPR Cookie Consent plugin. The polar radius of the Earth is 3,950 miles (6,356), which is a 13-mile (22-kilometer) difference. Measuring the Circumference of the Earth. [13], The authalic radius Sometimes more are aboard the station during a crew handover. 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. Do NOT follow this link or you will be banned from the site! 71% of Earths surface is water. But opting out of some of these cookies may affect your browsing experience. [2], For Earth, the volumetric radius equals 6,371.0008km (3,958.7564mi).[13]. A) 4.5 x 10-7 B) 4.5 x 107 C) 45 x 10-6 D) 45 x 106 How to Calculate the Circumference of the Earth? This video explains how humans managed to measure the circumference of the earth long long ago using simple math, reasoning and assumptions. 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. . This website uses cookies to improve your experience while you navigate through the website. The magnitude of the gravitational force between earth and an object is given by the formula. {\displaystyle {\frac {\partial r}{\partial \lambda }}} What is the scientific name for Earth? 2a : the bone on the thumb side of the human forearm also : a corresponding part of vertebrates above fishes. In 1993 the WGS84 governing committee voted, with one exception, to retain the 1984 defining values, despite improvements to those defining values. K Oceanic crust is denser and thinner and mainly composed of basalt. How do you find the radius of a gravitational field? The core is found about 2,900 kilometers (1,802 miles) below Earth's surface, and has a radius of about 3,485 kilometers (2,165 miles). r . 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. Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. The radius of the Earth is 6371 km. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". N The Earth. How does the mass of earth be calculated? - Ox Science 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. Physics, 22. The cookie is used to store the user consent for the cookies in the category "Other. The model is rotated in a wind tunnel at a rotational speed of 500 rev/minrev/min. What is the radius of Earth in gravitation? Therefore, the distance you use in the equation is the distance between the two orbiting bodies. \text {Circumference} = 39,350 \text {\ kilometers} Circumference = 39,350 kilometers. One reason that our program is so strong is that our . 2. . In the third century B.C., Eratosthenes, a Greek mathematician, became the first person to mathematically calculate the diameter of the earth by comparing differences in the angle of the suns rays at two separate geographic points. The radius of orbit indicates the distance that the satellite is from the center of the earth. Drive one of the meter sticks into the ground in your location in a sunny spot. What is the radius of the parallel of latitude? Point on the ellipsoid surface can be defined by the parametric curve equation. Solved Gravity:In physics, it is established that the | Chegg.com 2019 11:40, yfnal3x. Escape velocity = = 22.4 km/sec. {\displaystyle e} 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 Sun: radius = 696,000 kilometers, 100 times larger. {\displaystyle R_{E}} You also have the option to opt-out of these cookies. 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 001 km (3958. How to Find the Radius of the Earth | Sciencing For this calculation, the longitude isn't needed. The accelerationwhich is gained by an object because of gravitational forceis called its acceleration due to gravity. This value is between 6,378 km, particularly around the equator and about 6,357 km at the poles. 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. Measure Earth's Circumference with a Shadow - Scientific American The Earth's Gaussian radius of curvature at latitude is:[12]. What is the earths radius in meters? - Atom Particles ] 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. Video advice: How Eratosthenes discovered the radius of the earth. The Earths circumference is approximately 40,000,000 meters. This section describes the common ways. Most experts think planet Earth can support about 10 billion people, and that when our population reaches that number, it will start to decline. Radius of the earth in meters - AssignmentGeek 4.23 x 10 7 m - 6.37 x 10 6 m . It is known that the equatorial radius of the earth is R=6371km R = 6371 k m so, convert the unit of radius using the conversion factor. {\displaystyle w^{2}=\lambda ,}. The planet's rotation causes it to bulge at the equator. In particular, the Earth's meridional radius of curvature (in the northsouth direction) at is: where For information on the Earth, see the Earth Fact Sheet. 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. Karren Doll Tolliver holds a Bachelor of English from Mississippi University for Women and a CELTA teaching certificate from Akcent Language School in Prague. However, Earth is not quite a sphere. A model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip.