Determine the radius of Earth. We are interested in what we will call H = R R - R E. Let's call X the amount we add to the length of the rope, in our case 3 feet. Assume an Earth radius of 6,450 kilometers. 1, What is the diameter, in meters, of the earth's orbit around the sun? The average radius of the earth is 6.38x106 meters. nasa.gov. NASA Releases Breakthrough Forest Biomass-Carbon Product. nasa.gov. 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. What is the number in scientific notation? The radius of the earth, R = 6.4 10 6 m. . Also, since we know the time taken by the Earth to go once around the Sun (P = 1 year), and the . Neptune's radius is almost four times the size of Earth's radius, but it is only about a third of Jupiter's radius. Aug 15, 2005. Copernicus was the first person to . Geometry 1 Answer Konstantinos Michailidis Nov 22, 2015 Assuming that the earth is spherical then the area is A = 4 r2 r = A 4 where r is the radius. 1 earth radius = 6 371 000 meters Earth radius to Meters Conversion Earth radius to meter conversion allow you make a conversion between earth radius and meter easily. Semi-minor axis b = 6356752.3142 meters. The Sun weighs about 333,000 times as much as Earth. Plus some basic algebra. Some notes: h 1 is the height of the camera above the surface (the water). Earth radius to Feet ( R to ft) conversion calculator of Length measurement, 1 earth radius = 20902230.971129 feet. The Equatorial Radius of the Earth is 6,378,137.0 meters according to the WGS-84 earth datum. The radius of our planet, The 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, approximating the figure of Earth by an Earth spheroid. What is the approximate distance of P from T ? Please enter the latitude in decimal degrees . Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. Thus, 4(6.37110^6) = 5.10064471910 m. Assume that the mass of the Earth is 5.98x1024 kg and the radius . The Radius Of The Earth Is 3963 Mi. Give your answer in meters per second. 26.5 km c. 25.4 km d. 24.3 km . The height h is negligible w.r.t. Furthermore, in astronomy and geophysics, a nominal Earth radius is sometimes employed as a unit of measurement. Since 1km = 1000m, the radius of the earth, which is 6,371km will be 6, 371, 000 metres ( 6.371 million metres) Physics To calculate Radius of curve, you need Degree of curve (D). What is the number in scientific notation? He also occupied the exalted post of Chief Librarian of the famed Library of Alexandria, and invented . The equitorial radius of the Earth is 6,378 kilometers (km): convert this to centimeters (cm) one km = 1,000 meters = 100,000 cm = 10 5 cm. h 2 is the height of the bridge above the water . Then use newton's 2nd law to work out an eqn of motion. Earth radius (denoted as R or ) is the distance from the center of Earth to a point on or near its surface. . 0.582. * The radius of the earth is . A true polymath, Eratosthenes was an astronomer, mathematician, poet, and inventor, to name but a few of his arts. Question: A satellite of unknown mass is 710,000 meters above Earth's surface. (Note that R is measured from the center of the earth, not the surface.) Assume that Earth is one of the masses (M1) and a 1-kg sphere is the other (M2). What is the approximate distance of P from T ? (Consider the orbit of Jupiter to be a circle of radius 7.781011 m and that it takes 11.90 yr for one orbit around the sun.) Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). Therefore, the circumference is about 9.399511 x 10 11 m. The Earth's mean orbital speed, in meters per second (m/s), is obtained by dividing this number by the length of the year in seconds. How many meters across is a road sign that has an angular size of 120 arcseconds and is 1 km away? Convert the equitorial radius from km to miles: one meter = 3.2808 feet = 3,963 miles. 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. The Sun is 864,400 miles (1,391,000 kilometers) across. A body of mass m is raised from the earths, surface to an altitude equal to the radius (R) of the Earth. both units have been defined by international agreement as equivalent to 0.3048 meters exactly. Neptune's radius is 3.9 times the radius of Earth. Examples The height above sea level of the location is added. On solving the circumference of the earth we get 39,350 kilometres. Earth's circumference is the distance around Earth. Really. 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. Answer (1 of 8): The earth's radius is 6.37110^6 metres. Please enter the latitude in decimal degrees . It is 6356.752 km (3949.903 mi) at the poles and 6371.001 km (3958.756 mi) on average. Note: The Earth is almost, but not quite, a perfect sphere. The formula used in jupiter radiuss to meters conversion is 1 Jupiter radius = 69911000 Meter. The radius and circumference of the Earth were first measured in around 200 BCE by a man named Eratosthenes (276 BC - 194 BCE). r 2 2 = 2rh. For this calculation, the longitude isn't needed. The metre (Commonwealth spelling) or meter (American spelling; see spelling differences) (from the French unit mtre, from the Greek noun , "measure") is the base unit of length in the International System of Units (SI). 10^6 meters, and it completes one rotation every 24 hours (period). What Is The Surface Area Of The Earth In Square Meters? Answer link (8,849 meters), but it is not the highest point on Earth that is, the place most distant from the . It is so large that about 1,300,000 planet Earths can fit inside of it. In both systems, the foot comprises 12 inches and three feet compose a yard. When t is measured in seconds and is measured in degrees, = t/240. Escape Velocity. Which is equal to 1.04x10^-25 meters. In other words, 1 jupiter radius is 69911000 times bigger than a meter. (radius of the orbit at the orbit's two most distant points) About 1.5 times that of Earth. The speed an object needs to break free from the gravitational attraction of a planet, moon, or other body without further propulsion . The mean orbital radius of the earth around the sun is 1.5 108 km. By knowing the Equatorial diameter or the polar diameter of the Earth, the circumference can be found. If the surface area of the earth is 510,460,000 km^2, what is the radius of the earth in meters? The radius of the earth's orbit is 45,000,000 meters. The other two are the radii of curvature. With our tool, you need to enter the respective value for Degree of curve and hit the calculate button. Solution : 0.5 D = 0.5 (2R) = R. The distance of rocket from the center of Earth = radius of Earth + radius of a rocket from the surface of Earth = R + R = 2R The radius of Neptune, measured from the center to the equator is 24,764 km. . The orbital speed of the satellite is 6.0 103 meters per second and the radius of the Earth, R, is 6.4 106 meters. . Total surface area of sphere = 4r. What is the speed of the satellite? The mean radius of Earth is at around 3.958 mi / 6.371 km, slightly larger than Venus, almost twice the radius of Mars and about three times that of Mercury. Name of unit Symbol Definition Relation to SI units Join our Discord to connect with other students 24/7, any time, night or day. Taking the age of Earth to be about 4 10 9 years and assuming its orbital radius of 1.5 10 11 has not changed and is circular, calculate the approximate total distance Earth has traveled since its birth (in a frame of reference stationary with respect to the Sun). The force between them is 9.8 kg*m/s 2-- we can calculate this force by dropping the 1-kg sphere and measuring the acceleration that the Earth's gravitational field applies to it (9.8 m/s 2). Compared to the acceleration due to gravity near Earth's surface, the acceleration due to gravity near the surface of NOT- Aristarchus. To Find: Maximum distance of reach = d = ? A jet flies at a very low altitude at a constant speed of v = 245 m/s. example R = earthRadius (lengthUnit) returns the mean radius of the Earth using the length unit specified by lengthUnit. from 10s of centimeters to about a meter a few to 10s of centimeters zero 10s to 100s of meters 1 meter to 10 meters. Equatorial radius at one bar: 7.1492 x 10 7 meters = 11.19 R E: Polar radius at one bar: 6.6854 x 10 7 meters: Mean mass density: 1,330 kilograms per cubic meter: Rotation period: 9.9249 hours = 9 hours 55 minutes 29.7 seconds: Orbital period: 11.86 Earth years: Mean distance from Sun: 7.7833 x 10 11 meters = 5.203 AU: Age: 4.6 x 10 9 years . Find the maximum distance up to which it can detect an object located on the surface of the earth. The radius of Earth is about 6400 kilometers. R^J stands for jupiter radiuss and m stands for meters. Solution for The diameter of the Earth is 12,740,000 meters. Equatorial radius at one bar: 7.1492 x 10 7 meters = 11.19 R E: Polar radius at one bar: 6.6854 x 10 7 meters: Mean mass density: 1,330 kilograms per cubic meter: Rotation period: 9.9249 hours = 9 hours 55 minutes 29.7 seconds: Orbital period: 11.86 Earth years: Mean distance from Sun: 7.7833 x 10 11 meters = 5.203 AU: Age: 4.6 x 10 9 years . Additionally we know the relationship between the circumference of a circle and it's radius is generally given by R = C/2 that is the only formula you need to know to solve this puzzle. Assume that Earth is spherical. Earth: 9.80665 meters per second squared or 32.174 feet per second squared. This equation shows that the Schwarzschild Radius, or rs, is equal to twice the Gravitiational constant (G=6.67x10^-11 N(m/kg)^2) . Assuming that the earth is spherical then the area is A=4*pi*r^2=>r=sqrt(A/(4*pi)) where r is the radius. What is the angular diameter (in arcseconds) of an object that has a linear diameter of 5 meters and a distance of 3 km? Solar radius is a unit of distance used to express the size of stars in astronomy relative to the Sun.The solar radius is usually defined as the radius to the layer in the Sun's photosphere where the optical depth equals 2/3 [citation needed]: = 695,700 kilometres (432,300 miles) is approximately 10 times the average radius of Jupiter, about 109 times the radius of the Earth, and 1/215th of an . The propeller of a World War II fighter plane is 2.30 m in diameter. According to the law of gravitation, the gravitational force F of the earth acting on a body is given by: =6 1024 kg. F = m1g. Mean radius of planet Earth collapse all in page Syntax R = earthRadius R = earthRadius (lengthUnit) Description example R = earthRadius returns the scalar value 6,371,000, the mean radius of the Earth in meters. For this calculation, the longitude isn't needed. Last edited by a moderator: May 3, 2018. Point on the ellipsoid surface can be defined by the parametric curve equation. 2, According to Roemer, about how many seconds does it take light to travel across the diameter of the earth's orbit? However, things are more complicated . This force is provided by gravity between the object and the Earth, according to Newton's gravity formula, and so you can write. How long does it take to complete an orbit? The radius of Earth = distance from the center of Earth = R. Diameter of Earth = D = 2R. Taking the age of Earth to be about 4 10 9 years and assuming its orbital radius of 1.5 10 11 has not changed and is circular, calculate the approximate total distance Earth has traveled since its birth (in a frame of reference stationary with respect to the Sun). PHYSICS. Using the circumference we find that 1 kilometer has the angle 360 / 40 030 km = 0.009. mass (10 24 kg) 5.9722 volume (10 10 km 3) 108.321 equatorial radius (km) 6378.137 polar radius (km) 6356.752 volumetric mean radius (km) 6371.000 core radius (km) 3485 ellipticity (flattening) 0.003353 mean density (kg/m 3) 5513 surface gravity (m/s 2) 9.798 surface acceleration (m/s 2) 9.780 escape velocity (km/s) 11.186 gm (x 10 6 km 3 /s 2) If the satellite is moving in a constant, circular orbit, what must its acceleration be? The value, symbolized rearth, is equal to approximately 6,371,000 meters (6.371 x 10 6 m). 27.6 km b. 1 Answer Konstantinos Michailidis Nov 22, 2015 Note that the units are in miles. This is about 109 times the diameter of Earth. A) 4.5 x 10-7 B) 4.5 x 107 C) 45 x 10-6 D) 45 x 106 Advertisement Answer 4.8 /5 10 mikayla1001 The answer is 4.5 10^7 Still stuck? Its equatorial radius is 6378 km, but its polar radius is 6357 km - in other words, the Earth is slightly flattened. Then our final result is r = 2h/ 2. Suppose the length of a. On earth, the escape velocity is around 40,270 kmph, which is around 11,186 m/s. b. Write this problem down for yourself and make sure you understand how the units . or .1 yoctometer. So the radius of the earth will be. Which ancient astronomer measured the radius of the Earth? The radius of the earth is 6400 km. Draw a circle, and a radius line from the center to the edge. This can result in either of two figures. where F is the gravitational force of attraction between two masses, M1 and M2 separated by a distance r between their centres of mass. A 5.0-kilogram sphere, starting from rest, falls freely 22 meters in 3.0 seconds near the surface of a planet. the radius of the earth Earth has a radius of 6,371,000 meters and a mass of 5.9721024 kg. Therefore, if the earth is taken to be a two dimensional object, its perimeter would be equal to the circumference of a circle with radius 6 . Again, using trigonometry, the radius or diameter of the Sun can be calculated from the distance between Earth and Sun, a, as 2R sun = tan(0.5 degrees) a. Mars: 227,943,824 . . How will you measure the radius of earth with a meter stick? The Equatorial Radius of the Earth is 6,378,137.0 meters according to the WGS-84 earth datum. Approximating the figure of Earth by an Earth spheroid, the radius ranges from a maximum of nearly 6,378 km (3,963 mi) ( equatorial radius, denoted a) to a minimum of nearly 6,357 km (3,950 mi) ( polar radius, denoted b ). Question. The Earth's mean radius is determined as the average distance from the physical center to the surface, based on a large number of samples. Eratosthenes was measuring the polar radius, and his value (using the 0.15 km . Ocean Worlds Resources. If you wish to convert a small difference of latitude or longitude into the linear distance on the surface of the earth, then the spherical earth equation would be, = = dE R cos d dN R d , nasa.gov. T he circumference of the Earth (around the equator) is approximately 24,887 miles. 5 Things to Know About NASA's New Mineral Dust Detector. The radius of the Earth is 6,400,000 meters (6,999,125 yards). Length Conversion Quick Look: earth radius to meters Earth radius [ R ] View solution > If the radius of the earth were to shrink by 2 %, its mass remaining the same, the acceleration due to gravity on the earth's surface would. If g is the gravitational acceleration on the Earth's surface. The circumference of the Earth can be calculated using the formula, Circumference = 2 R or D, where R is the radius of Earth and D is the diameter. The correct answer is , but I get a different . 20. * The mass of the earth is . Get 1-on-1 help from an expert tutor now. The diameter of a circle is twice the radius, giving us a diameter for Earth of 12,756 km. This is the closest approximation and finding an exact value is nearly impossible. For the Earth, the equation would be: So the Schwarzschild Radius of the Earth is ~.009 meters. Find the radius R of the orbit of a geosynchronous satellite that circles the earth. (a) What is the magnitude of the orbital velocity of the earth, in m/s? To find the radius of earth you would start with, F = GM1 M2 / r^2. Base your answers to questions 20 through 22 on the diagram below which represents a 4.0 102-kilogram satellite, S, in a circular orbit at an altitude of 5.0 106 meters. [work] R= [answer] m %3D b. a. The metre is currently defined as the length of the path travelled by light in a vacuum in 1 / 299 792 458 of a second. 26.5 km c. 25.4 km d. 24.3 km VIDEO ANSWER: when a person jumps vertically on Earth, they can rise to a height of H were given that the density of an asteroid is 300 are 3500 kilograms per cubic meter, and we want to find the largest radius of . Wanted: Weight of rocket when the rocket at the height of 0.5 D above the Earth surface. Find the volume of Earth in cubic meters. 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. 27.6 km b. For example, when a spacecraft is launched into outer space, the velocity attained by this should be greater than the escape velocity so that the rocket doesn't fall back onto earth. What is the ground surface distance, expressed in meters, of an arc the spans 1 minute and 15 seconds of arc? Express your answers to the questions below in scientific notation. We wish to find the height (h) which is the drop in curvature over the distance (d). What is the radius of the earth in meters in scientific notation? You may use the following constants: * The universal gravitational constant G is . And guess what, the escape . We know that the Sun, as seen from Earth, has an angular diameter of about 0.5 degrees. c. Find the ratio of the surface area to the volume. . Find the surface area of Earth in square meters. Calculate mass of the sun if G = 6.67 10-11 N m2/kg-2 ? (1 Mi = 1609 M.) 4.9 Times 107 M^2 1.3 Times 1014 M^2 2.6 Times 1014 M^2 5.1 Times 1014 M^2 4.6 Times 1014 M^2 There are stars such as Betelgeuse that are significantly larger (about 936 times the diameter of our Sun).. . This is roughly 6,371 kilometers (km) or 3,960 statute miles. (b) An intrepid and globe-trotting 80 kg physics student stands on a scale on the Earth's equator, and later stands on the scale at the South Pole. It is 6356.752 km (3949.903 mi) at the poles and 6371.001 km (3958.756 mi) on average. a. The height above sea level of the location is added. nasa.gov. What is the angular speed of the Earth's rotation? Scientific Notation: The exponent rule is used to show the values in scientific notation with a base of 10. Solution: Given: height of the radar above the surface = h = 500 m = 0.5 km, Radius of earth = R = 6400 km. a. Advertisement Answer 2.3 /5 1 jamei80090 (Consider the earth's orbit to be a circle of radius 1.501011 m.) (2) What is the linear speed of Jupiter in its orbit about the sun? The Sun's equatorial radius is about 6.955108 meters Many stars are around this size. Earth radius at sea level is 6378.137 km (3963.191 mi) at the equator. Assuming that the earth is a perfect sphere of radius 6370 kilometers, a person at a point T on top of a tower 60 meters high looks at a point P on the surface of the earth. If the surface area of the earth is 510,460,000 km^2, what is the radius of the earth in meters? Find step-by-step Physics solutions and your answer to the following textbook question: The radius of the earth's orbit around the sun (assumed to be circular) is $1.50 \times 10 ^ { 8 } \mathrm { km }$, and the earth travels around this orbit in 365 days. The radius of the earth's orbit is 45,000,000 meters. The surface area of a sphere is A = Give your answer in meters per second. How big is the sun compared to Earth? a. Mathematically, Earth is a spheroid. The planet has a radius of 24,341 kilometers at the poles. The force on an object of mass m1 near the surface of the Earth is. That is our formula for the Earth's radius. NASA Finds New Way to Monitor Underground Water Loss. Advertisement Expert-verified answer apologiabiology scientific notation is always written as a number more than 0 but less than 10, ( exg 4.5, 3.5, but not 12 or 84) times a 10 to the somthing power so 45,000,000 The radius of curve is defined as the radius of the curve obtained from the road is calculated using Radius of the circular curve = 5729.578/ ( Degree of curve * (180/ pi )). $\begingroup$ Because the Earth is approximately spherical, so it's cross section is approximately circular. 39,350 = 2 3.14 r. r = 39350/ 6.28 = 6267 kilometer. The SI unit symbol is m.. Circumference = 2r. 1 meter to 10 meters. This value is between 6,378 km, particularly around the equator and about 6,357 km at the poles. The angle made between the horizontal and the radius line is the angle of latitude. This radius is also known as the astronomical unit ( AU ), and is about 1.4959787 x 10 11 meters (m). You can find the tool in the following. However, for purposes of uniformity and use in geophysics and astronomy, the nominal earth radius is used, which is about 6, 371 km. The short answer is around 24.901 miles. Written in scientific notation, the diameter is________ times 10 to the power of_____ meters. This is a side view cross section of the Earth. 1. U.S. Space Force Releases Decades of Bolide Data to NASA for Planetary Defense Studies. If you started walking from one end to the other, you would have to cover more than 24.901 mi / 40.075 km. d. At the equator, the radius of the Earth is approximately 6370 km. This shows the point at which the bridge goes below the horizon. Geometry. Medium. The propeller of a World War II fighter plane is 2.30 m in diameter. Upon landing, the jet can produce an average deceleration of a = 15.5 m/s 2. In other words, you could line up almost 4 Earths side by side . What measurement is used to measure the Earth? Geometry . The physical radius, the distance from the center of the earth to the ellipsoid is the least used. Mathematically, Earth is a spheroid. Earth's polar radius is 3,950 miles (6,356 km) a difference of 13 miles (22 km). We're always here. Assuming that the earth is a perfect sphere of radius 6370 kilometers, a person at a point T on top of a tower 60 meters high looks at a point P on the surface of the earth. To convert all types of measurement units, you can used this tool which is able to provide you conversions on a scale.