How was mass and radius of Earth calculated?
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How was mass and radius of Earth calculated?
The mass of the Earth may be determined using Newton’s law of gravitation. We know that the acceleration due to gravity is equal to 9.8 m/s2, the Gravitational constant (G) is 6.673 × 10−11 Nm2/kg2, the radius of the Earth is 6.37 × 106 m, and mass cancels out.
How did they find the mass of the Earth?
The mass of Earth is measured indirectly by determining other quantities such as Earth’s density, gravity, or gravitational constant. The first measurement in the 1770s Schiehallion experiment resulted in a value about 20\% too low. The Cavendish experiment of 1798 found the correct value within 1\%.
How did people calculate the radius of the Earth?
This means that Eratosthenes estimated the circumference of the Earth to be about 40,000 km. He also knew that the circumference of a circle was equal to 2 times π (3.1415…) times the radius of the circle. (C = 2πr) With this information, Eratosthenes inferred that the Earth’s radius was 6366 km.
How is mass related to radius?
According to this equation mass of earth is directly proportional to square of it’s radius.
What is the difference between mass and radius?
Mass and radius are two fundamental properties for characterising exoplanets, but only for a relatively small fraction of exoplanets are they both available. Mass is often derived from radial velocity measurements, while the radius is almost always measured using the transit method.
How do you find density with mass and radius?
Density of a Sphere Calculator
- Formula. D = m / (4/3*pi*r^3)
- Mass.
- Radius.
What is the formula to calculate the mass of the Earth?
A formula for approximating mass of the Earth: m = r2 g G, r = Earth radius =6378 km, g = acceleration due to Earth’s gravity =0.0098 km/ s2 and
How was the radius of the earth calculated?
In approximately 230 BC, the Greek mathematian, Eratosthenes calulated the radius of the Earth. He compared the shadows in the wells during the summer solstice and obtained the value 6.38 × 10 6 M. In the 16 th century, Galileo determined the acceleration due to the force of gravity near the surface of the Earth and obtained 9.8 m/sec 2.
How do you calculate the density of the Earth?
In modern notation, the mass of the Earth is derived from the gravitational constant and the mean Earth radius by M ⊕ = G M ⊕ G = g R ⊕ 2 G . {\\displaystyle M_ {\\oplus }= {\\frac {GM_ {\\oplus }} {G}}= {\\frac {gR_ {\\oplus }^ {2}} {G}}.} . Cavendish found a mean density of 5.45 g/cm3, about 1\% below the modern value.
What is the mass of the Earth in kg?
We know that the acceleration due to gravity is equal to 9.8 m/s 2, the Gravitational constant (G) is 6.673 × 10 −11 Nm 2 /kg 2, the radius of the Earth is 6.37 × 10 6 m, and mass cancels out. When we rearrange the equation and plug all the numbers in, we find that the mass of the Earth is 5.96 × 10 24 kg.