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Moon's Tide-generating Attractive Force Potential Formula

GoAttractive Force Potentials per unit Mass for Moon Formula

GoAttractive Force Potentials per unit Mass for Moon given Harmonic Polynomial Expansion Formula

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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. Check FAQs

V M = f \cdot M \cdot ((\frac{1}{r S/MX}) - (\frac{1}{r m}) - ([Earth-R] \cdot \frac{\cos (θ m/s)}{{r m}^{2}}))

V_M - Attractive Force Potentials for Moon?f - Universal Constant?M - Mass of the Moon?r_S/MX - Distance of Point?r_m - Distance from center of Earth to center of Moon?θ_m/s - Angle made by the Distance of Point?[Earth-R] - Earth mean radius?

Moon's Tide-generating Attractive Force Potential Example

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Here is how the Moon's Tide-generating Attractive Force Potential equation looks like with Values.

Here is how the Moon's Tide-generating Attractive Force Potential equation looks like with Units.

Here is how the Moon's Tide-generating Attractive Force Potential equation looks like.

5.7E+17 = 2 \cdot 7.4E+22 \cdot ((\frac{1}{256}) - (\frac{1}{384467}) - (6371.0088 \cdot \frac{\cos (12.5)}{384467^{2}}))

5.7E+17 = 2 \cdot 7.4E+22kg \cdot ((\frac{1}{256km}) - (\frac{1}{384467km}) - (6371.0088km \cdot \frac{\cos (12.5°)}{{384467km}^{2}}))

5.7E+17 = 2 \cdot 7.4E+22 \cdot ((\frac{1}{256}) - (\frac{1}{384467}) - (6371.0088 \cdot \frac{\cos (12.5)}{384467^{2}}))

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Moon's Tide-generating Attractive Force Potential Solution

Follow our step by step solution on how to calculate Moon's Tide-generating Attractive Force Potential?

FIRST Step Consider the formula

V M = f \cdot M \cdot ((\frac{1}{r S/MX}) - (\frac{1}{r m}) - ([Earth-R] \cdot \frac{\cos (θ m/s)}{{r m}^{2}}))

Next Step Substitute values of Variables

∴

V M = 2 \cdot 7.4E+22kg \cdot ((\frac{1}{256km}) - (\frac{1}{384467km}) - ([Earth-R] \cdot \frac{\cos (12.5°)}{{384467km}^{2}}))

Next Step Substitute values of Constants

∴

V M = 2 \cdot 7.4E+22kg \cdot ((\frac{1}{256km}) - (\frac{1}{384467km}) - (6371.0088km \cdot \frac{\cos (12.5°)}{{384467km}^{2}}))

Next Step Convert Units

∴

V M = 2 \cdot 7.4E+22kg \cdot ((\frac{1}{256000m}) - (\frac{1}{3.8E+8m}) - (6371.0088km \cdot \frac{\cos (0.2182rad)}{{3.8E+8m}^{2}}))

Next Step Prepare to Evaluate

∴

V M = 2 \cdot 7.4E+22 \cdot ((\frac{1}{256000}) - (\frac{1}{3.8E+8}) - (6371.0088 \cdot \frac{\cos (0.2182)}{{3.8E+8}^{2}}))

Next Step Evaluate

∴

V M = 5.73830216789452E+17

LAST Step Rounding Answer

∴

V M = 5.7E+17

Moon's Tide-generating Attractive Force Potential Formula Elements

Variables

Constants

Functions

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.

Formulas to find Attractive Force Potentials for Moon

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.

Formulas to find Universal Constant

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.

Formulas to find Mass of the Moon

Distance of Point

Distance of Point refers to the point located on the surface of the Earth to the center of the Sun or the Moon.

Symbol: r_S/MX

Measurement: LengthUnit: km

Note: Value can be positive or negative.

Formulas to find Distance of Point

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.

Formulas to find Distance from center of Earth to center of Moon

Angle made by the Distance of Point

Angle made by the Distance of Point referred to the angle between the line connecting the centers of the Earth and the Moon and the line perpendicular to the Earth's surface at the point of interest.

Symbol: θ_m/s

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle made by the Distance of Point

Earth mean radius

Earth mean radius represents the average distance from the Earth's center to any point on its surface, providing a single value to characterize the size of the Earth.

Symbol: [Earth-R]

Value: 6371.0088 km

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Attractive Force Potentials for Moon

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 Moon given Harmonic Polynomial Expansion

V M = (f \cdot M) \cdot (\frac{{R M}^{2}}{{r m}^{3}}) \cdot P M

Other formulas in Attractive Force Potentials category

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}

Go Tide-generating Attractive Force Potential for Sun

V s = (f \cdot M sun) \cdot ((\frac{1}{r S/MX}) - (\frac{1}{r s}) - (R M \cdot \frac{\cos (θ m/s)}{{r s}^{2}}))

How to Evaluate Moon's Tide-generating Attractive Force Potential?

Moon's Tide-generating Attractive Force Potential evaluator uses Attractive Force Potentials for Moon = Universal Constant*Mass of the Moon*((1/Distance of Point)-(1/Distance from center of Earth to center of Moon)-([Earth-R]*cos(Angle made by the Distance of Point)/Distance from center of Earth to center of Moon^2)) to evaluate the Attractive Force Potentials for Moon, The Moon's Tide-generating Attractive Force Potential formula is defined as the earth's surface is the result from a combination of the force of gravitation exerted by the moon and sun upon the earth and centrifugal forces produced by the revolutions of the earth and moon and earth and sun around their common center-of-gravity. Attractive Force Potentials for Moon is denoted by V_M symbol.

How to evaluate Moon's Tide-generating Attractive Force Potential using this online evaluator? To use this online evaluator for Moon's Tide-generating Attractive Force Potential, enter Universal Constant (f), Mass of the Moon (M), Distance of Point (r_S/MX), Distance from center of Earth to center of Moon (r_m) & Angle made by the Distance of Point (θ_m/s) and hit the calculate button.

FAQs on Moon's Tide-generating Attractive Force Potential

What is the formula to find Moon's Tide-generating Attractive Force Potential?

The formula of Moon's Tide-generating Attractive Force Potential is expressed as Attractive Force Potentials for Moon = Universal Constant*Mass of the Moon*((1/Distance of Point)-(1/Distance from center of Earth to center of Moon)-([Earth-R]*cos(Angle made by the Distance of Point)/Distance from center of Earth to center of Moon^2)). Here is an example- 5.7E+17 = 2*7.35E+22*((1/256000)-(1/384467000)-([Earth-R]*cos(0.21816615649925)/384467000^2)).

How to calculate Moon's Tide-generating Attractive Force Potential?

With Universal Constant (f), Mass of the Moon (M), Distance of Point (r_S/MX), Distance from center of Earth to center of Moon (r_m) & Angle made by the Distance of Point (θ_m/s) we can find Moon's Tide-generating Attractive Force Potential using the formula - Attractive Force Potentials for Moon = Universal Constant*Mass of the Moon*((1/Distance of Point)-(1/Distance from center of Earth to center of Moon)-([Earth-R]*cos(Angle made by the Distance of Point)/Distance from center of Earth to center of Moon^2)). This formula also uses Earth mean radius constant(s) and Cosine (cos) function(s).

What are the other ways to Calculate Attractive Force Potentials for Moon?

Here are the different ways to Calculate Attractive Force Potentials for Moon-

Attractive Force Potentials for Moon=(Universal Constant*Mass of the Moon)/Distance of Point
Attractive Force Potentials for Moon=(Universal Constant*Mass of the Moon)*(Mean Radius of the Earth^2/Distance from center of Earth to center of Moon^3)*Harmonic Polynomial Expansion Terms for Moon

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Moon's Tide-generating Attractive Force Potential Formula

​GoAttractive Force Potentials per unit Mass for Moon Formula

​GoAttractive Force Potentials per unit Mass for Moon given Harmonic Polynomial Expansion Formula

Moon's Tide-generating Attractive Force Potential Example

Moon's Tide-generating Attractive Force Potential Solution

Moon's Tide-generating Attractive Force Potential Formula Elements

Other Formulas to find Attractive Force Potentials for Moon

Other formulas in Attractive Force Potentials category

How to Evaluate Moon's Tide-generating Attractive Force Potential?

FAQs on Moon's Tide-generating Attractive Force Potential

Variable Name

GoAttractive Force Potentials per unit Mass for Moon Formula

GoAttractive Force Potentials per unit Mass for Moon given Harmonic Polynomial Expansion Formula