Using the parameters from WGS84 ellipsoid of revolution, a = 6,378.137 km and b = 6356.7523142km, V = 1.083211012km3 (2.59881011cumi).[17]. a) The diameter of the earth is approximately 1.276 1 0 7 1.276 \times 10^7 1.276107 m in scientific notation. What is the formula to find radius of Earth? E The circumference of the Earth depends on how it is measured. 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). | Thus, the surface of the earth at the. 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 radius R of a nucleus of mass number A can be estimated by the formula R = (1.3 1015)A 1/3 m. 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. A) 4.5 x 10-7 B) 4.5 x 107 C) 45 x 10-6 D) 45 x 106 The typical radius of the world is roughly 6. w 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 cookie is used to store the user consent for the cookies in the category "Other. J The height above sea level of the location is added. Eratosthenes methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. The diameter is the distance from side to side, if you. Place the loose end of the string at the end of the cast shadow and hold it taut. Video advice: What is EARTH RADIUS? {\displaystyle r=[r^{1},r^{2},r^{3}]^{T}=[x,y,z]^{T}} Ans. Sometimes more are aboard the station during a crew handover. Derivation means the action of obtaining something from a source or origin. How many meters is the earth? Well, the Moon is not always the same distance away from Earth. {\displaystyle {\mathcal {R}}_{\mathrm {eE} }^{\mathrm {N} }} 6,371,000 metersThe value, symbolized rearth, is equal to approximately 6,371,000 meters (6.371 x 106 m). , The planet bulges at the equator as a result of its rotation. An arc of 1 radian = the radial distance of the the latitude circle, from. This cookie is set by GDPR Cookie Consent plugin. The Earth's Gaussian radius of curvature at latitude is:[12]. {\displaystyle K=\kappa _{1}\,\kappa _{2}={\frac {\det \,B}{\det \,A}}} First of NASA's SunRISE SmallSats Rolls Off Production Line. The orbit is not a perfect circle. [21] The first known scientific measurement and calculation of the circumference of the Earth was performed by Eratosthenes in about 240BC. K The planet's rotation causes it to bulge at the equator. stands for the radius of the Earth. Because these measurements are not done with more sensitive equipment, the radius calculation will be only approximate. 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). What does EARTH RADIUS mean? , and What is the radius of the parallel of latitude? This is the radius that Eratosthenes measured in his arc measurement. . 2023 Leaf Group Ltd. / Leaf Group Media, All Rights Reserved. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. Please enter the latitude in decimal degrees, here you can convert coordinates. However, Earth is not quite a sphere. Measuring the Circumference of the Earth. {\displaystyle r} Earth's polar radius is 3950 miles (Diameter = 7900 miles). nasa.gov. West can be exchanged for east in this discussion. 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). The radius of a parallel of latitude is given by How do you use the Pythagorean Theorem to find the radius of the earth? However, other factors such as the rotation of the Earth also contribute to the net acceleration. Furthermore, the bulge in the equator shows slow variations. Have Bugged an area Rock to pay attention In on Earthlings? How do we measure the diameter of the Earth? This section describes the common ways. r = 39350/ 6.28 = 6267 kilometer. How do you find the radius with mass and gravity? We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. This difference is the geoid height, positive above or outside the ellipsoid, negative below or inside. How far (in meter) does it travel in the first 3 seconds? It was there that he first had the idea to create a resource for physics enthusiasts of all levels to learn about and discuss the latest developments in the field. The planet's rotation causes it to bulge at the equator. Earths Equatorial Radius to Meter Conversion TableEarths Equatorial RadiusMeter (m)0. This calculated value became a defining value in 1993. Geometrically, the second fundamental form gives the distance from Answer (1 of 3): First of all let us consider the shape of the earth to be a sphere. A: . 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. As an example, we will use Eratosthenes situation. N Let us calculate area of earth using this formula area=4x22/76370= 5.110 4. At the equator, the radius of Earth is 3963 miles (Diameter = 7926 miles). 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. However, Earth is not quite a sphere. It is 6356. One reason that our program is so strong is that our . Given you're looking for a simple formula, this is probably the simplest way to do it, assuming that the Earth is a sphere with a circumference of 40075 km. F It is the smallest planet in the Solar System, with an equatorial radius of 2,439.7 km. Drive one of the meter sticks into the ground in your location in a sunny spot. B Ocean Worlds Resources. 0 [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. find the radius of mars. We also use third-party cookies that help us analyze and understand how you use this website. [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. For the Earth, the authalic radius is 6,371.0072km (3,958.7603mi). The radius is more like 6,371 kilometers at the north and south poles. This is roughly 6,371 kilometers (km) or 3,960 statute miles. Likewise for surface area, either based on a map projection or a geodesic polygon. What is the Radius and Diameter of a Circle? The circumference of the Earth is the length or distance measured around it. 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 {\displaystyle F=f=0} These cookies ensure basic functionalities and security features of the website, anonymously. Required fields are marked *. A r . Whether you need help solving quadratic equations, inspiration for the upcoming science fair or the latest update on a major storm, Sciencing is here to help. Arc length of more general surface curves, such as meridian arcs and geodesics, can also be derived from Earth's equatorial and polar radii. Convert the Earth-Sun distance of 93,000,000 miles into. The distance between locations are also part of the total circumference of the Earth. The formula for the volume of a sphere is V = 4/3 r. 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. In particular, the Earth's meridional radius of curvature (in the northsouth direction) at is: where r The total mass of all the asteroids combined is less than that of Earth's Moon. | [ Asked By: Lena Frontelo | Last Updated: 18th May, 2020, Earth is the third planet from the sun. University of Texas: Eratosthenese Finds Diameter of Earth, Partner in a distant location on about the same longitude or in the same time zone. r = The red dot at the lower left corner is its center. The model is rotated in a wind tunnel at a rotational speed of 500 rev/minrev/min. 137 km (3963. [2] All three values are about 6,371 kilometres (3,959mi). In 200 B.C. Earth's volume is estimated at 1 trillion cubic kilometers. = R K 5.98 10 24 kg. N Earth radius (denoted as R or x 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. 64miles, whereas, whether it ismeasured round the rods, it isapproximately 24,806 miles. The cookie is used to store the user consent for the cookies in the category "Analytics". Necessary cookies are absolutely essential for the website to function properly. The WGS84 ellipsoid can be used worldwide (such as the ridiculously over-precise flattening value). Record the distance between your location and your partners location. In simple words, radius refers to that line, which originates from any point of the circle and touches the centre point the circle. Step 3 of 5. [clarification needed]. Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. The mathematical expressions above apply over the surface of the ellipsoid. Area of sphere= 4pier 2. But opting out of some of these cookies may affect your browsing experience. e 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! He was the first one to use the word geography and he also had a small-scale notion of the planet that helped him to determine the circumference of the earth. R=6370 3. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. This requires an elliptic integral to find, given the polar and equatorial radii: The rectifying radius is equivalent to the meridional mean, which is defined as the average value of M:[14]. It is with the values I gave you. The standard English name of the planet, including in science, is Earth. How many miles is a meter 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. Earths rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". 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 + 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):. How do you find the radius of a planet in physics? 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. = 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. . Eratosthenes' methods result in a formula that would look like this: 39,350 = 2 x 3.14 x r, or 6,267 kilometers. , over the surface of the ellipsoid. Definition of radius 1 : a line segment extending from the center of a circle or sphere to the circumference or bounding surface. Acceleration due to gravity is a vector, which means it has both a magnitudeand a direction. arrow_forward. Eastwest directions can be misleading. Our goal is to make science relevant and fun for everyone. to the plane tangent at These values correspond to the zero Earth tide convention. 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. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. E Calculating Earths Volume Averaging these two numbers yields a mean radius of 6,371.0 kilometers (3,958.7 miles), which in turn yields an approximate value for the volume of the Earth of 1.08 quadrillion cubic kilometers (259 trillion cubic miles). The various radii derived here use the notation and dimensions noted above for the Earth as derived from the WGS-84 ellipsoid;[6] namely. , For Earth, the volumetric radius equals 6,371. r The value for the equatorial radius is defined to the nearest 0.1m in WGS-84. The reason for keeping those older values was GPS. The Earths equatorial radius to meter (m) conversion table and conversion steps are also listed. T = . 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. 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. The Earths circumference is approximately 40,000,000 meters. The distance between Syene and Alexandria is 787 kilometers. 1999. That's between 28 and 29 Earths. Its "up" direction there is shown with a black segment: it is, by definition, perpendicular to the ellipse at that point. Since the locations are points on a circle that goes around the Earth, the distance between them can be expressed as an arc measurement on a 360-degree circle. A body on the surface of a planet with the same radius as Earth's weighs 10 times more than it does on Earth. Therefore, the difference was 7.2 degrees. p 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. 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.) Earths Equatorial Radius to Meter Conversion Table, How to Convert Earths Equatorial Radius to Meter, Convert Earths Equatorial Radius to Other Length Units. To determine the diameter of the earth in metres first multiply the original value by 2. Have your partner do the same in her location at the exact same time. On solving the circumference of the earth we get 39,350 kilometres. In general, this points to an important conclusion about nature itself. Has got the radius of Earth mysteriously grown by about 3%? 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.
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