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

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

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Mean Radius of the Earth is defined as the arithmetic average of the Earth's equatorial and polar radii. Check FAQs

R M = \sqrt{\frac{V M \cdot {r m}^{3}}{f \cdot M \cdot P M}}

R_M - Mean Radius of the Earth?V_M - Attractive Force Potentials for Moon?r_m - Distance from center of Earth to center of Moon?f - Universal Constant?M - Mass of the Moon?P_M - Harmonic Polynomial Expansion Terms for Moon?

Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon Example

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Here is how the Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon equation looks like with Values.

Here is how the Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon equation looks like with Units.

Here is how the Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon equation looks like.

6706.0892 = \sqrt{\frac{5.7E+17 \cdot 384467^{3}}{2 \cdot 7.4E+22 \cdot 4.9E+6}}

6706.0892km = \sqrt{\frac{5.7E+17 \cdot {384467km}^{3}}{2 \cdot 7.4E+22kg \cdot 4.9E+6}}

6706.0892 = \sqrt{\frac{5.7E+17 \cdot 384467^{3}}{2 \cdot 7.4E+22 \cdot 4.9E+6}}

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Home » Engineering » Civil » Coastal and Ocean Engineering » Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon

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

Follow our step by step solution on how to calculate Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon?

FIRST Step Consider the formula

R M = \sqrt{\frac{V M \cdot {r m}^{3}}{f \cdot M \cdot P M}}

Next Step Substitute values of Variables

∴

R M = \sqrt{\frac{5.7E+17 \cdot {384467km}^{3}}{2 \cdot 7.4E+22kg \cdot 4.9E+6}}

Next Step Convert Units

∴

R M = \sqrt{\frac{5.7E+17 \cdot {3.8E+8m}^{3}}{2 \cdot 7.4E+22kg \cdot 4.9E+6}}

Next Step Prepare to Evaluate

∴

R M = \sqrt{\frac{5.7E+17 \cdot {3.8E+8}^{3}}{2 \cdot 7.4E+22 \cdot 4.9E+6}}

Next Step Evaluate

∴

R M = 6706089.16834729m

Next Step Convert to Output's Unit

∴

R M = 6706.08916834729km

LAST Step Rounding Answer

∴

R M = 6706.0892km

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

Variables

Functions

Mean Radius of the Earth

Mean Radius of the Earth is defined as the arithmetic average of the Earth's equatorial and polar radii.

Symbol: R_M

Measurement: LengthUnit: km

Note: Value can be positive or negative.

Attractive Force Potentials for Moon

Attractive Force Potentials for Moon refers to the gravitational force exerted by the Moon on other objects, such as the Earth or objects on the Earth's surface.

Symbol: V_M

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Distance from center of Earth to center of Moon

Distance from center of Earth to center of Moon referred to the average distance from the center of Earth to the center of the moon is 238,897 miles (384,467 kilometers).

Symbol: r_m

Measurement: LengthUnit: km

Note: Value can be positive or negative.

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.

Symbol: f

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Mass of the Moon

Mass of the Moon refers to the total quantity of matter contained in the Moon, which is a measure of its inertia and gravitational influence [7.34767309 × 10^22 kilograms].

Symbol: M

Measurement: WeightUnit: kg

Note: Value can be positive or negative.

Harmonic Polynomial Expansion Terms for Moon

Harmonic Polynomial Expansion Terms for Moon refers to the expansions take into account the deviations from a perfect sphere by considering the gravitational field as a series of spherical harmonics.

Symbol: P_M

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

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.

Syntax: sqrt(Number)

Credits

Creator Image

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Formula and 2000+ more formulas!

Verifier Image

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Formula and 900+ more formulas!

Other Formulas to find Mean Radius of the Earth

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

R M = \sqrt{\frac{V s \cdot {r s}^{3}}{f \cdot M sun \cdot P s}}

Other formulas in Attractive Force Potentials category

Go Attractive Force Potentials per unit Mass for Moon

V M = \frac{f \cdot M}{r S/MX}

Go Attractive Force Potentials per unit Mass for Sun

V s = \frac{f \cdot M sun}{r S/MX}

Go Mass of Sun given Attractive Force Potentials

M sun = \frac{V s \cdot r S/MX}{f}

Go Mass of Moon given Attractive Force Potentials

M = \frac{V M \cdot r S/MX}{f}

See More

How to Evaluate Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon?

Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon evaluator uses 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)) to evaluate the Mean Radius of the Earth, The Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon formula is defined athe arithmetic average of the Earth's equatorial and polar radii. Mean Radius of the Earth is denoted by R_M symbol.

How to evaluate Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon using this online evaluator? To use this online evaluator for Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon, enter Attractive Force Potentials for Moon (V_M), Distance from center of Earth to center of Moon (r_m), Universal Constant (f), Mass of the Moon (M) & Harmonic Polynomial Expansion Terms for Moon (P_M) and hit the calculate button.

FAQs on Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon

What is the formula to find Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon?

The formula of Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon is expressed as 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)). Here is an example- 6.706089 = sqrt((5.7E+17*384467000^3)/(2*7.35E+22*4900000)).

How to calculate Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon?

With Attractive Force Potentials for Moon (V_M), Distance from center of Earth to center of Moon (r_m), Universal Constant (f), Mass of the Moon (M) & Harmonic Polynomial Expansion Terms for Moon (P_M) we can find Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon using the formula - 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)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Mean Radius of the Earth?

Here are the different ways to Calculate Mean Radius of the Earth-

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))

Can the Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon be negative?

Yes, the Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon, measured in Length can be negative.

Which unit is used to measure Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon?

Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon is usually measured using the Kilometer[km] for Length. Meter[km], Millimeter[km], Decimeter[km] are the few other units in which Mean Radius of Earth given Attractive Force Potentials per Unit Mass for Moon can be measured.

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