what is the radius of the earth in meters

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. 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. 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 a circle is the straight-line distance from the very center of the circle to any point on the circle. Therefore, the distance you use in the equation is the distance between the two orbiting bodies. Thus, the radius of the earth in meters in scientific notation is 6.371106m. A cylinder has a radius of 8 meters. How fast is the earth moving? - Scientific American PDF PHYSICS 111 HOMEWORK SOLUTION #13 - New Jersey Institute of Technology The cookie is used to store the user consent for the cookies in the category "Other. Also, explore tools to convert Earths equatorial radius or meter to other length units or learn more about length conversions. They are vertices of the ellipse and also coincide with minimum and maximum radius of curvature. Thus, the radius of the earth in meters in scientific notation is 6.371106m. , For Earth, the volumetric radius equals 6,371. What is velocity of bullet in the barrel? w The standard English name of the planet, including in science, is Earth. He observed lunar eclipses and noticed that only a round sphere could imply a circular shadow. It does not store any personal data. Earth's rocky mantle and metallic core make it the densest planet, at 5.513 grams per cubic centimeter. Also a photographer, she records adventures by camera, combining photos with journals in her blogs. Earth radius - Wikipedia Since he knew the distance between the locations, he was able to determine the circumference of the earth, and therefore the diameter and radius as well. The red dot at the lower left corner is its center. Furthermore, the bulge in the equator shows slow variations. Oceanic crust is denser and thinner and mainly composed of basalt. (a) Local topography increases the variance, resulting in a surface of profound complexity. => When indoor location is available, the accuracy range can be as small as 5 meters. [ w 71% of Earths surface is water. Earth radius at sea level is 6378. The cookie is set by GDPR cookie consent to record the user consent for the cookies in the category "Functional". also corresponds to the radius of (global) mean curvature, obtained by averaging the Gaussian curvature, Eratosthenes estimated Earth's circumference at about 46,250 kilometers (28,735 miles). Escape velocity = = 22.4 km/sec. {\displaystyle r+dr} a) The radius of the earth is 4000 miles. 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. Physics, 22. This cookie is set by GDPR Cookie Consent plugin. High School Students Measure New Value for Earth's Radius to Celebrate As such, they are topographical geocentric distances, Rt, which depends not only on latitude. 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. ] Radius of Earth - adda247 It has an average density of 5.5 g/cm3. This answer is: What is the radius of the earth equation? [Ultimate Guide!] 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. Therefore, if the earth is taken to be a two dimensional object, its perimeter would be equal to the. What you need is to convert a meter into degrees since long/lat is a polar coordinate system.With the circumference of Earth being 40,075 km, you get 0.00000898315 deg/m which you need to multiply with the size of the object (1 m) to get the degrees which you have to add to your coordinate to get a point which intersects with the radius of . N Part 4: Computation . The radius of the earth's orbit is 45,000,000 meters. What is the Semi-minor axis b = 6356752.3142 meters. 4.23 x 10 7 m - 6.37 x 10 6 m . 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):. det First of NASA's SunRISE SmallSats Rolls Off Production Line. Eratosthenes was born around 276 B.C., which is now Shahhat, Libya. Earth Fact Sheet - NASA What does EARTH RADIUS mean? N Asked By: Lena Frontelo | Last Updated: 18th May, 2020, Earth is the third planet from the sun. Where K is the Gaussian curvature, 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. Q4. b) Calculate the surface free-fall acceleration. Examples collapse all Earth Radius in Meters View the mean radius of the Earth using the default units, meters. (clarification needed). 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). det 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. 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. A partial surface of an ellipsoid gets fitted to the region, in which case the center and orientation of the ellipsoid generally do not coincide with the earth's center of mass or axis of rotation. How do we measure the diameter of the Earth? Acceleration due to gravity is a vector, which means it has both a magnitudeand a direction. The adolescent protagonists of the sequence, Enrique and Rosa, are Arturos son and , The payout that goes with the Nobel Prize is worth $1.2 million, and its often split two or three ways. E {\displaystyle w^{2}=\lambda ,}. 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. r d How do you find the acceleration of a system? However, Earth is not quite a sphere. Derivation means the action of obtaining something from a source or origin. How to Find the Radius of the Earth? | An Overview - Toppr-guides A: . f to the plane tangent at Use a scientific calculator. How far is the center of the Earth in KM? 5.98 10 24 kg. Have Bugged an area Rock to pay attention In on Earthlings? Sun: radius = 696,000 kilometers, 100 times larger. ( ) is the distance from the center of Earth to a point on or near its surface. [ (8,849 meters), but it is not the highest point on Earth that is, the place most distant from the . r = 39350/ 6.28 = 6267 kilometer. The circumference of the Earth depends on how it is measured. Point on the ellipsoid surface can be defined by the parametric curve equation. Start your trial now! The nominal radius serves as a unit of length for astronomy. It does not store any personal data. What is the radius of the earth in physics? [Updated!] {\displaystyle K} 1 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 191 mi) at the equator. 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. r What is the real radius of the earth? - TeachersCollegesj The earth is made up of three different layers: the crust, the mantle and the core. The distance to the centre of the Earth has been taken as the volumetric mean radius of the Earth: 6,371km. How do you find the radius with mass and gravity? 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). which differs from the exact result by less than 1m (4105in); the mean of the two axes. 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 . The corresponding radius of curvature depends on the location and direction of measurement from that point. "The Earth's mass is about 5.98 10 24 kg". The majority of the data posted was remarkably good, stated Jennifer Fischer, the APS project leader. PDF Radius of the Earth - Radii Used in Geodesy - Naval Postgraduate School T he circumference of the Earth (around the equator) is approximately 24,887 miles. Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). E This cookie is set by GDPR Cookie Consent plugin. Does Bohrs model explain radius of an orbit? , and because Convert the Earth-Sun distance of 93,000,000 miles into. This section describes the common ways. Other ways to define and measure the Earth radius involve the radius of curvature. How Big Is Planet Earth? - WorldAtlas {\displaystyle R_{2}} Aristotle (384-322 BC) was among the first to recognize the fact of our planet being a round sphere. Record the measurements. [Mass of the earth is 6 x 1024 kg and radius of the earth is 6.4 x 106 m]. m. Scholars have interpreted Aristotle's figure to be anywhere from highly accurate[20] to almost double the true value. Most experts think planet Earth can support about 10 billion people, and that when our population reaches that number, it will start to decline. The geocentric radius is the distance from the Earth's center to a point on the spheroid surface at geodetic latitude : where a and b are, respectively, the equatorial radius and the polar radius. The mathematical expressions above apply over the surface of the ellipsoid. Its "up" direction there is shown with a black segment: it is, by definition, perpendicular to the ellipse at that point. We must convert the radius into centimeters: R Moon = 1738 km X (1000m / km) X (100cm / m) = 1.738 X 10 8 cm. The Earths circumference is approximately 40,000,000 meters. Find the volume of Earth in cubic meters. Measured around the Equator, it is 40,075.017 km (24,901.461 mi). 0 The following is a partial list of models of Earth's surface, ordered from exact to more approximate: In the case of the geoid and ellipsoids, the fixed distance from any point on the model to the specified center is called "a radius of the Earth" or "the radius of the Earth at that point". Earths rotation, internal density variations, and external tidal forces cause its shape to deviate systematically from a perfect sphere. Answered: the radious of earth is 6378.1 km, | bartleby Now that the radius of orbit has been found, the height above the earth can be calculated. Could E.T. Make sure both sticks are perpendicular to the Earth and that the same length of stick protrudes from the ground. The radius of the earth's orbit is 45,000,000 meters. For information on the Earth, see the Earth Fact Sheet. The cookies is used to store the user consent for the cookies in the category "Necessary". . Earth's polar radius is 3950 miles (Diameter = 7900 miles). 2 R=6370 3. Estimates of the accuracy of Eratosthenes's measurement range from 0.5% to 17%. Now we know 1km=1000m 5. , Also see the Table of Physical Units and Constants. After completing his doctoral studies, he decided to start "ScienceOxygen" as a way to share his passion for science with others and to provide an accessible and engaging resource for those interested in learning about the latest scientific discoveries. So, for him the following relationship between objects will apply: 7.2 / 360 = 787 / x. This astronomical observation was confirmed by general observations made at sea. What Is The Circumference Of The Earth? - WorldAtlas The distance between locations are also part of the total circumference of the Earth. When we rearrange the equation and plug all the numbers in, we find that the mass of the Earth is 5.96 1024 kg. Mathematically, Earth is a spheroid. Our goal is to make science relevant and fun for everyone. The WGS84 reference ellipsoid is now just that, a reference ellipsoid (that is, its the ellipsoid used as a reference by GPS and related systems). Your email address will not be published. Given local and transient influences on surface height, the values defined below are based on a "general purpose" model, refined as globally precisely as possible within 5m (16ft) of reference ellipsoid height, and to within 100m (330ft) of mean sea level (neglecting geoid height). 371 106 m), the bottom unit of length within the Worldwide System of Units (SI). Enchanted Learning. The cookie is used to store the user consent for the cookies in the category "Analytics". See answer. The total mass of all the asteroids combined is less than that of Earth's Moon. Thus, the surface of the earth at the. 137 km (3963. What Is The Radius Of Earth In Meters | Science - Science-Atlas.com You can do this, too, by using his method. , which is defined to be 6,378.1km (3,963.2mi). a) Calculate the average density of the white dwarf. The geoid height variation is under 110m (360ft) on Earth. The value of standard gravity corresponds to the gravity on Earth at a radius of 6,375.4 kilometres (3,961.5 mi). Write it in scientific notation. Earth, the third planet from the sun, is one of the most unique celestial bodies in our solar system. 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.) Today we know our planet's circumference is roughly 40,000 kilometers (24,850 miles). (b) Repeat part (a) with the sun in place of the earth. 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. Testing, Testing: Space-Bound US-European Water Mission Passes Finals. It is 6356.752 km (3949.903 mi) at the poles and 6371.001 km (3958.756 mi) on average. When it's closest, the Moon is 225,623 miles away. Strictly speaking, spheres are the only solids to have radii, but broader uses of the term radius are common in many fields, including those dealing with models of Earth. The Earth's mean radius of curvature at latitude is:[12]:97. Hence 1km=10001000m=10m 6. Around 1690, Isaac Newton and Christiaan Huygens argued that Earth was closer to an oblate spheroid than to a sphere. Instant free online tool for Earths equatorial radius to meter conversion or vice versa. The magnitude of the gravitational force between earth and an object is given by the formula. The diameter is the distance from side to side, if you. What is the radius of the parallel of latitude? {\displaystyle F=f=0} 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. These cookies track visitors across websites and collect information to provide customized ads. , How to Find the Radius of the Earth | Sciencing 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. While specific values differ, the concepts in this article generalize to any major planet. = Mass of planet M = 8 x mass of earth = 8 x 6 x 10 24 kg. . Structure and radius of electron - Alternative Physics [f], This Earth's prime-vertical radius of curvature, also called the Earth's transverse radius of curvature, is defined perpendicular (orthogonal) to M at geodetic latitude is:[g], N can also be interpreted geometrically as the normal distance from the ellipsoid surface to the polar axis. A rough, general figure for the Earths mean orbital speed is 30 kilometers per second (km/s), or 18 miles per second (mi/s). For the WGS84 ellipsoid, that's respectively: Earth's circumference equals the perimeter length. Record the distance between your location and your partners location. . This difference is the geoid height, positive above or outside the ellipsoid, negative below or inside. Hence, we create models to approximate characteristics of Earth's surface, generally relying on the simplest model that suits the need. Necessary cookies are absolutely essential for the website to function properly. The equatorial radius is most commonly used to calculate the volume of Earth, so as not to leave out any territory. The Bohr model of the atom predicted the radius of the lowest-energy electron orbit. Q. However, Earth is not quite a sphere. How to Calculate the Circumference of the Earth? x Length in km of 1 of latitude = always 111.32 km Length in km of 1 of longitude = 40075 km * cos ( latitude ) / 360 Share Follow edited Jul 21, 2022 at 14:03 answered Sep 16, 2016 at 21:29 N Now we know 2 things- 1. How do you use the Pythagorean Theorem to find the radius of the earth? By clicking Accept, you consent to the use of ALL the cookies. The first and second radii of curvature correspond, respectively, to the Earth's meridional and prime-vertical radii of curvature. T The bulge had been decreasing, but since 1998 the bulge has increased, possibly due to redistribution of ocean mass via currents.