Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Sun Solution

STEP 0: Pre-Calculation Summary
Formula Used
Mean Radius of the Earth = sqrt((Attractive Force Potentials for Sun*Distance^3)/(Universal Constant*Mass of the Sun*Harmonic Polynomial Expansion Terms for Sun))
RM = sqrt((Vs*rs^3)/(f*Msun*Ps))
This formula uses 1 Functions, 6 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Mean Radius of the Earth - (Measured in Meter) - Mean Radius of the Earth is defined as the arithmetic average of the Earth's equatorial and polar radii.
Attractive Force Potentials for Sun - Attractive Force Potentials for Sun is referred to the gravitational force exerted by the Sun on an object and can be described by the gravitational potential.
Distance - (Measured in Meter) - Distance from the center of the Earth to the center of the Sun is called an astronomical unit (AU). One astronomical unit is approximately 149,597,870.7 kilometers.
Universal Constant - Universal Constant is a physical constant that is thought to be universal in its application in terms of Radius of the Earth and Acceleration of Gravity.
Mass of the Sun - (Measured in Kilogram) - Mass of the Sun defined as the total amount of matter that the Sun contains. This includes all of its components, such as hydrogen, helium, and trace amounts of heavier elements.
Harmonic Polynomial Expansion Terms for Sun - Harmonic Polynomial Expansion Terms for Sun describes the gravitational potential of a celestial body like the Sun.
STEP 1: Convert Input(s) to Base Unit
Attractive Force Potentials for Sun: 1.6E+25 --> No Conversion Required
Distance: 150000000 Kilometer --> 150000000000 Meter (Check conversion ​here)
Universal Constant: 2 --> No Conversion Required
Mass of the Sun: 1.989E+30 Kilogram --> 1.989E+30 Kilogram No Conversion Required
Harmonic Polynomial Expansion Terms for Sun: 300000000000000 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
RM = sqrt((Vs*rs^3)/(f*Msun*Ps)) --> sqrt((1.6E+25*150000000000^3)/(2*1.989E+30*300000000000000))
Evaluating ... ...
RM = 6726727.93996312
STEP 3: Convert Result to Output's Unit
6726727.93996312 Meter -->6726.72793996312 Kilometer (Check conversion ​here)
FINAL ANSWER
6726.72793996312 6726.728 Kilometer <-- Mean Radius of the Earth
(Calculation completed in 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg
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Attractive Force Potentials Calculators

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Attractive Force Potentials per unit Mass for Sun
​ LaTeX ​ Go Attractive Force Potentials for Sun = (Universal Constant*Mass of the Sun)/Distance of Point
Mass of Sun given Attractive Force Potentials
​ LaTeX ​ Go Mass of the Sun = (Attractive Force Potentials for Sun*Distance of Point)/Universal Constant

Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Sun Formula

​LaTeX ​Go
Mean Radius of the Earth = sqrt((Attractive Force Potentials for Sun*Distance^3)/(Universal Constant*Mass of the Sun*Harmonic Polynomial Expansion Terms for Sun))
RM = sqrt((Vs*rs^3)/(f*Msun*Ps))

What do you mean by Tidal Force?

The Tidal Force is a gravitational effect that stretches a body along the line towards the center of mass of another body due to a gradient (difference in strength) in gravitational field from the other body; it is responsible for diverse phenomena, including tides, tidal locking, breaking apart of celestial bodies.

How to Calculate Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Sun?

Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Sun calculator uses Mean Radius of the Earth = sqrt((Attractive Force Potentials for Sun*Distance^3)/(Universal Constant*Mass of the Sun*Harmonic Polynomial Expansion Terms for Sun)) to calculate the Mean Radius of the Earth, The Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Sun formula is defined as the arithmetic average of the Earth's equatorial and polar radii. Mean Radius of the Earth is denoted by RM symbol.

How to calculate Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Sun using this online calculator? To use this online calculator for Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Sun, enter Attractive Force Potentials for Sun (Vs), Distance (rs), Universal Constant (f), Mass of the Sun (Msun) & Harmonic Polynomial Expansion Terms for Sun (Ps) and hit the calculate button. Here is how the Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Sun calculation can be explained with given input values -> 6.726728 = sqrt((1.6E+25*150000000000^3)/(2*1.989E+30*300000000000000)).

FAQ

What is Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Sun?
The Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Sun formula is defined as the arithmetic average of the Earth's equatorial and polar radii and is represented as RM = sqrt((Vs*rs^3)/(f*Msun*Ps)) or Mean Radius of the Earth = sqrt((Attractive Force Potentials for Sun*Distance^3)/(Universal Constant*Mass of the Sun*Harmonic Polynomial Expansion Terms for Sun)). Attractive Force Potentials for Sun is referred to the gravitational force exerted by the Sun on an object and can be described by the gravitational potential, Distance from the center of the Earth to the center of the Sun is called an astronomical unit (AU). One astronomical unit is approximately 149,597,870.7 kilometers, Universal Constant is a physical constant that is thought to be universal in its application in terms of Radius of the Earth and Acceleration of Gravity, Mass of the Sun defined as the total amount of matter that the Sun contains. This includes all of its components, such as hydrogen, helium, and trace amounts of heavier elements & Harmonic Polynomial Expansion Terms for Sun describes the gravitational potential of a celestial body like the Sun.
How to calculate Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Sun?
The Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Sun formula is defined as the arithmetic average of the Earth's equatorial and polar radii is calculated using Mean Radius of the Earth = sqrt((Attractive Force Potentials for Sun*Distance^3)/(Universal Constant*Mass of the Sun*Harmonic Polynomial Expansion Terms for Sun)). To calculate Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Sun, you need Attractive Force Potentials for Sun (Vs), Distance (rs), Universal Constant (f), Mass of the Sun (Msun) & Harmonic Polynomial Expansion Terms for Sun (Ps). With our tool, you need to enter the respective value for Attractive Force Potentials for Sun, Distance, Universal Constant, Mass of the Sun & Harmonic Polynomial Expansion Terms for Sun and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Mean Radius of the Earth?
In this formula, Mean Radius of the Earth uses Attractive Force Potentials for Sun, Distance, Universal Constant, Mass of the Sun & Harmonic Polynomial Expansion Terms for Sun. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Mean Radius of the Earth = sqrt((Attractive Force Potentials for Moon*Distance from center of Earth to center of Moon^3)/(Universal Constant*Mass of the Moon*Harmonic Polynomial Expansion Terms for Moon))
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