what is the radius of the earth in meters

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 However, Earth is not quite a sphere. Regarding this, what is the diameter of the Earth in scientific notation? 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. which is different from the precise result by under 1m (4105in) the mean of these two axes. Earth, on the other hand, isn't quite a sphere. [9] 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. Instant free online tool for Earths equatorial radius to meter conversion or vice versa. Oceanic crust is denser and thinner and mainly composed of basalt. , For Earth, the volumetric radius equals 6,371. 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. He studied in Athens at the Lyceum. This website uses cookies to improve your experience while you navigate through the website. The cookie is used to store the user consent for the cookies in the category "Analytics". The cookie is used to store the user consent for the cookies in the category "Performance". Andrew Blum gives some tips that could students in the high-school class in Clinton, Mississippi because they focus on the Eratosthenes project. R=6370 3. Earth Radius by Latitude Calculator Calculates radius and diameter of the Earth for a given latitude. Earth radius to Meters Conversion - Length Measurement | TrustConverter These cookies track visitors across websites and collect information to provide customized ads. The planet bulges at the equator as a result of its rotation. Have Bugged an area Rock to pay attention In on Earthlings? Explore Asteroids In Depth Key Science Targets Eratosthenes' methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. Record the distance between your location and your partners location. 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. The value of the radius is completely dependent upon the latitude in the case of an ellipsoid model, and nearly so on the geoid. 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. 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. 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 The Earths equatorial radius to meter (m) conversion table and conversion steps are also listed. 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 Sun - HyperPhysics Concepts R = earthRadius returns the scalar value 6,371,000, the mean radius of the Earth in meters. 371 106 m), the bottom unit of length within the Worldwide System of Units (SI). Hence, we create models to approximate characteristics of Earth's surface, generally relying on the simplest model that suits the need. and {\displaystyle r=[r^{1},r^{2},r^{3}]^{T}=[x,y,z]^{T}} {\displaystyle r} You can do this, too, by using his method. are tangents to the surface. Today we know our planet's circumference is roughly 40,000 kilometers (24,850 miles). The mathematical expressions above apply over the top of ellipsoid. The typical radius of the world is roughly 6. [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. 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. For best results, the minimum radius of the geofence should be set between 100 - 150 meters. 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 . 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):. Earth, as we know now, is an oblate spheroid, as shown in the above figure. 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. If we were to plot this it would show (setting, G = M = m = R = 1, and including force direction): A simple spring oscillator To understand what this means we'll look at a simple spring oscillator. This answer is: Earths Equatorial Radius to Meter Conversion Table, How to Convert Earths Equatorial Radius to Meter, Convert Earths Equatorial Radius to Other Length Units. 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). Thus the curvature found this way is smaller than the curvature of a circle of constant latitude, except at the equator. Now we know 1km=1000m 5. 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? A The radius of the earth is the straight distance from the earth's center to a point on its surface. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. Earth radius Conversion conversion table Earth radius to Meters Conversion Table Meters [ m ] Since pi is an infinite number, the calculations in Step 6 will be more accurate. MITs Alan , In 2020, as a response to the disruption caused by COVID-19, the College Board modified the AP exams so they were shorter, administered online, covered less material, and had a different format than previous tests. 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. His highly influential work, the Almagest,[26] left no doubt among medieval scholars that Earth is spherical, but they were wrong about its size. View a sample solution. What is the radius of Earth in gravitation? International Space Station Facts and Figures | NASA {\displaystyle K=\kappa _{1}\,\kappa _{2}={\frac {\det \,B}{\det \,A}}} Example 2. 2 How many meters is the earth? [13], The authalic radius 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). First of NASA's SunRISE SmallSats Rolls Off Production Line. In 1993 the WGS84 governing committee voted, with one exception, to retain the 1984 defining values, despite improvements to those defining values. [22] For both Aristotle and Eratosthenes, uncertainty in the accuracy of their estimates is due to modern uncertainty over which stadion length they meant. 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. , {\displaystyle w^{2}=\lambda ,}. Using the mathematical formula for calculating the volume of a sphere, it has been estimated that the volume of Earth is roughly 259 billion cubic miles. What is the mean radius of the earth is 6370 km. (a) What is - Quora What is the radius of the earth in meters in scientific notation? 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". Radio Line of Sight Distance Calculator Electrical, RF and h is the transmitting antenna height above the ground,. Example 2. Sometimes more are aboard the station during a crew handover. The acceleration due to gravity at the surface of Earthis represented by the letter g. 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. Android: What Is The Minimum And Maximum Radius For Geofence In particular, the Earth's meridional radius of curvature (in the northsouth direction) at is: where T he circumference of the Earth (around the equator) is approximately 24,887 miles. Measured around the poles, the circumference is 40,007.863 km (24,859.734 mi). 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 . Then convert km - m. 1 km = 1000 m. 12 756 km = ? 756 mi) on average. 6378 X 2 = 12 756 km. 903 mi) at the poles and 6371. where. 6 m0. [d] It is also common to refer to any mean radius of a spherical model as "the radius of the earth". Earth radius conversions Convert Earth radius to other length and distance measurement units using a free online calculator for length/distance unit conversions. T 01 Earths equatorial radius63781. Radius of the earth in meters - AssignmentGeek That's between 28 and 29 Earths. Solved: The Size of the Earth The radius of the Earth is appro - Chegg (clarification needed). 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. Structure and radius of electron - Alternative Physics Definitions and Formulas. Last edited on 10 February 2023, at 21:43, International Union of Geodesy and Geophysics, IAU 2006 General Assembly: Result of the IAU Resolution votes, Satellites Reveal A Mystery Of Large Change In Earth's Gravity Field, NASA's Grace Finds Greenland Melting Faster, 'Sees' Sumatra Quake, "Discover-TheWorld.com Guam POINTS OF INTEREST Don't Miss Mariana Trench", "Mean radius, mass, and inertia for reference Earth models", https://en.wikipedia.org/w/index.php?title=Earth_radius&oldid=1138658294, WGS-84 ellipsoid, polar radius of curvature (, WGS-84 ellipsoid, Mean radius of semi-axes (, WGS-84 ellipsoid, Radius of Sphere of Equal Area (, WGS-84 ellipsoid, Radius of Sphere of Equal Volume (, meridional radius of curvature at the equator, This page was last edited on 10 February 2023, at 21:43. As , EL NORTE is a melodrama divided into three acts. 2023 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. a) The diameter of the earth is approximately 1.276 1 0 7 1.276 \times 10^7 1.276107 m in scientific notation. a) Calculate the average density of the white dwarf. Necessary cookies are absolutely essential for the website to function properly. The following radii are derived from the World Geodetic System 1984 (WGS-84) reference ellipsoid. Earth Fact Sheet - NASA A: . Drive one of the meter sticks into the ground in your location in a sunny spot. The standard English name of the planet, including in science, is Earth. [1]:3 The nominal polar Earth radius is defined as 2 which differs from the exact result by less than 1m (4105in); the mean of the two axes. F Science atlas, our goal is to spark the curiosity that exists in all of us. How do you find the radius of the Earth using trigonometry? When he's not busy exploring the mysteries of the universe, George enjoys hiking and spending time with his family. Point on the ellipsoid surface can be defined by the parametric curve equation. High School Students Measure New Value for Earths Radius to Celebrate World Physics Year. For Eratosthenes, the arc was 7.2 degrees. 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. 149597870700 meters nearly This is 10-sd (significant digits) approximation. Regardless of the model, any radius falls between the polar minimum of about 6,357km and the equatorial maximum of about 6,378km (3,950 to 3,963mi). Eratosthenes methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. . PDF Radius of the Earth - Radii Used in Geodesy - Naval Postgraduate School Earth's surface area is an estimated 510 km2, and about 29% of the area is land while the other 71% consists of water. , Ans. What is the radius of the earth in physics? [Updated!] [a] Local topography increases the variance, resulting in a surface of profound complexity. 6,371,000 metersThe value, symbolized rearth, is equal to approximately 6,371,000 meters (6.371 x 106 m). {\displaystyle {\frac {\partial r}{\partial \varphi }}} How does the mass of earth be calculated? - Ox Science , Does Wittenberg have a strong Pre-Health professions program? 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). Where K is the Gaussian curvature, These values correspond to the zero Earth tide convention. {\displaystyle r} What is the radius of Jupiter in meters in scientific notation? E Since the estimate by Eratosthenes, many models have been created. 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. Eratosthenes estimated Earth's circumference at about 46,250 kilometers (28,735 miles). A model of a helicopter rotor has four blades, each of length 3.4 mm from the central shaft to the blade tip. 4.23 x 10 7 m - 6.37 x 10 6 m . 752 km (3949. Find the volume of Earth in cubic meters. The mass of the sun is $329,320$ times that of the earth and | Quizlet 191 mi) at the equator. The equation for Keplers Third Law is P = a, so the period of a planets orbit (P) squared is equal to the size semi-major axis of the orbit (a) cubed when it is expressed in astronomical units. Solution for the radious of earth is 6378.1 km, which is 2981.1 km greater than the radius of mars. .[10]. r z Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. K The other two are the radii of curvature. A) 4.5 x 10-7 B) 4.5 x 107 C) 45 x 10-6 D) 45 x 106 64miles, whereas, whether it ismeasured round the rods, it isapproximately 24,806 miles. Our Planet radius is really a unit of distance utilized in astronomy and geology. What is the formula of radius of nucleus? {\displaystyle r} arrow_forward. Sun: radius = 696,000 kilometers, 100 times larger. 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. This section describes the common ways. In a geocentric ellipsoid, the center of the ellipsoid coincides with some computed center of Earth, and best models the earth as a whole. How to convert radius in metres to pixels in mapbox leaflet? What is the radius of the earth equation? [Ultimate Guide!] 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. 71% of Earths surface is water. w Moon Fact Sheet - NASA Sun: radius = 696,000 kilometers, > 100 occasions bigger. (The notation is defined such that it can be easily generalized for other planets; e.g., Created by Sal Khan and Monterey Institute for Technology and Education. Our descriptions of Earths surface must be simpler than reality in order to be tractable. George Jackson is the founder and lead contributor of Physics Network, a popular blog dedicated to exploring the fascinating world of physics. Step 3 of 5. Its mean density is 1410 kg/m 3 or 0.255 times the mean density of Earth. => When indoor location is available, the accuracy range can be as small as 5 meters. Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). Wittenberg is a nationally ranked liberal arts institution with a particular strength in the sciences. 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. In late August of 2003, Mars was at its closest point to Earth in about 60,000 years! How do you express the earths diameter in scientific notation? How cold is it on moon? Q. Write it in scientific notation. 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). The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". Compute the radius of the Earth using the formula C (circumference) = 2 x pi x r (radius). \text {Circumference} = 39,350 \text {\ kilometers} Circumference = 39,350 kilometers. 5.98 10 24 kg. As an example, we will use Eratosthenes measurements. This cookie is set by GDPR Cookie Consent plugin. also corresponds to the radius of (global) mean curvature, obtained by averaging the Gaussian curvature, 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. {\displaystyle n={\frac {N}{|N|}}} which differs from the exact result by less than 1m (4105in); the mean of the two axes. How do you solve for radius and diameter? 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. For this calculation, the longitude isn't needed. 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). How do you find the radius of a planet in physics? Through derivation, we find a logical connection between a natural phenomenon and a mathematical description of that phenomenon. You have to find the circumference. arrow_forward. The planet's rotation causes it to bulge at the equator. Let us calculate area of earth using this formula area=4x22/76370= 5.110 4. Use the protractor to measure the angle where the string meets the stick at the top. 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!

Chevy Nomad For Sale Ontario, Kershaw Launch 5 Discontinued, Articles W