Mean radius of earth given attractive force potentials per unit mass for moon Calculator

✖Attractive Force Potentials for Moon per unit Mass for the Sun or the Moon.ⓘ Attractive Force Potentials for Moon [V_M]			+10% -10%
✖Distance from center of Earth to center of Moon, The average distance from the center of Earth to the center of the moon is 238,897 miles (384,467 kilometers).ⓘ Distance from center of Earth to center of Moon [r_m]			+10% -10%
✖Universal Constant in terms of Radius of the Earth and Acceleration of Gravity.ⓘ Universal Constant [f]			+10% -10%
✖Mass of the Moon [7.34767309 × 10^22 kilograms].ⓘ Mass of the Moon [M]			+10% -10%
✖Harmonic Polynomial Expansion terms for Moon that collectively describe the relative positions of the earth and moon.ⓘ Harmonic Polynomial Expansion Terms for Moon [P_M]			+10% -10%

✖Mean Radius of the Earth [6,371 km] in terms of Attractive Force Potentials per unit Mass for the Moon.ⓘ Mean radius of earth given attractive force potentials per unit mass for moon [R_M]

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Formula

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Mean radius of earth given attractive force potentials per unit mass for moon

Formula

`"R"_{"M"} = sqrt(("V"_{"M"}*"r"_{"m"}^3)/("f"*"M"*"P"_{"M"}))`

Example

`"6706.089km"=sqrt(("5.7E17"*("384467km")^3)/("2"*"7.35E22kg"*"4.9E^6"))`

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Mean radius of earth given attractive force potentials per unit mass for moon Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
R_M = sqrt((V_M*r_m^3)/(f*M*P_M))
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 [6,371 km] in terms of Attractive Force Potentials per unit Mass for the Moon.
Attractive Force Potentials for Moon - Attractive Force Potentials for Moon per unit Mass for the Sun or the Moon.
Distance from center of Earth to center of Moon - (Measured in Meter) - Distance from center of Earth to center of Moon, The average distance from the center of Earth to the center of the moon is 238,897 miles (384,467 kilometers).
Universal Constant - Universal Constant in terms of Radius of the Earth and Acceleration of Gravity.
Mass of the Moon - (Measured in Kilogram) - Mass of the Moon [7.34767309 × 10^22 kilograms].
Harmonic Polynomial Expansion Terms for Moon - Harmonic Polynomial Expansion terms for Moon that collectively describe the relative positions of the earth and moon.

STEP 1: Convert Input(s) to Base Unit

Attractive Force Potentials for Moon: 5.7E+17 --> No Conversion Required
Distance from center of Earth to center of Moon: 384467 Kilometer --> 384467000 Meter (Check conversion here)
Universal Constant: 2 --> No Conversion Required
Mass of the Moon: 7.35E+22 Kilogram --> 7.35E+22 Kilogram No Conversion Required
Harmonic Polynomial Expansion Terms for Moon: 4900000 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_M = sqrt((V_M*r_m^3)/(f*M*P_M)) --> sqrt((5.7E+17*384467000^3)/(2*7.35E+22*4900000))

Evaluating ... ...

R_M = 6706089.16834729

STEP 3: Convert Result to Output's Unit

6706089.16834729 Meter -->6706.08916834729 Kilometer (Check conversion here)

FINAL ANSWER

6706.08916834729 ≈ 6706.089 Kilometer <-- Mean Radius of the Earth

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Water Levels and Long Waves » Tide Producing Forces » Attractive Force Potentials » Mean radius of earth given attractive force potentials per unit mass for moon

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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National Institute of Technology (NIT), Warangal

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< 13 Attractive Force Potentials Calculators

Moon's Tide-generating attractive Force Potential

Go 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))

Tide-generating attractive Force Potential for Sun

Go Attractive Force Potentials for Sun = (Universal Constant*Mass of the Sun)*((1/Distance of point)-(1/Distance)-(Mean Radius of the Earth*cos(Angle made by the distance of point)/Distance^2))

Mean radius of earth given attractive force potentials per unit mass for moon

Go 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))

Attractive Force Potentials per unit Mass for Moon given Harmonic Polynomial Expansion

Go 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

Distance from center of earth to center of moon given attractive force potentials

Go Distance from center of Earth to center of Moon = (Mean Radius of the Earth^2*Universal Constant*[Moon-M]*Harmonic Polynomial Expansion Terms for Moon/Attractive Force Potentials for Moon)^(1/3)

Mean radius of earth given attractive force potentials per unit mass for Sun

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))

Attractive Force Potentials per unit Mass for Sun given Harmonic Polynomial Expansion

Go Attractive Force Potentials for Sun = Universal Constant*Mass of the Sun*(Mean Radius of the Earth^2/Distance^3)*Harmonic Polynomial Expansion Terms for Sun

Mass of Moon given attractive force potentials with harmonic polynomial expansion

Go Mass of the Moon = (Attractive Force Potentials for Moon*Distance from center of Earth to center of Moon^3)/([Earth-R]^2*Universal Constant*Harmonic Polynomial Expansion Terms for Moon)

Mass of Sun given attractive force potentials with harmonic polynomial expansion

Go Mass of the Sun = (Attractive Force Potentials for Sun*Distance^3)/([Earth-R]^2*Universal Constant*Harmonic Polynomial Expansion Terms for Sun)

Attractive Force Potentials per unit Mass for Moon

Go Attractive Force Potentials for Moon = (Universal Constant*Mass of the Moon)/Distance of point

Mass of Moon for Given Attractive Force Potentials

Go Mass of the Moon = (Attractive Force Potentials for Moon*Distance of point)/Universal Constant

Attractive Force Potentials per unit Mass for Sun

Go Attractive Force Potentials for Sun = (Universal Constant*Mass of the Sun)/Distance of point

Mass of Sun for Given Attractive Force Potentials

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 moon Formula

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 moon?

Mean radius of earth given attractive force potentials per unit mass for moon calculator 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 calculate the Mean Radius of the Earth, The Mean radius of earth given attractive force potentials per unit mass for moon formula is defined as a parameter influencing the attractive force potentials per unit mass for the moon and sun. Mean Radius of the Earth is denoted by R_M symbol.

How to calculate Mean radius of earth given attractive force potentials per unit mass for moon using this online calculator? To use this online calculator 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. Here is how the Mean radius of earth given attractive force potentials per unit mass for moon calculation can be explained with given input values -> 6.706089 = sqrt((5.7E+17*384467000^3)/(2*7.35E+22*4900000)).

FAQ

What is Mean radius of earth given attractive force potentials per unit mass for moon?

The Mean radius of earth given attractive force potentials per unit mass for moon formula is defined as a parameter influencing the attractive force potentials per unit mass for the moon and sun and is represented as R_M = sqrt((V_M*r_m^3)/(f*M*P_M)) or 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)). Attractive Force Potentials for Moon per unit Mass for the Sun or the Moon, Distance from center of Earth to center of Moon, The average distance from the center of Earth to the center of the moon is 238,897 miles (384,467 kilometers), Universal Constant in terms of Radius of the Earth and Acceleration of Gravity, Mass of the Moon [7.34767309 × 10^22 kilograms] & Harmonic Polynomial Expansion terms for Moon that collectively describe the relative positions of the earth and moon.

How to calculate Mean radius of earth given attractive force potentials per unit mass for moon?

The Mean radius of earth given attractive force potentials per unit mass for moon formula is defined as a parameter influencing the attractive force potentials per unit mass for the moon and sun is calculated using 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 calculate Mean radius of earth given attractive force potentials per unit mass for moon, you need 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). With our tool, you need to enter the respective value for Attractive Force Potentials for Moon, Distance from center of Earth to center of Moon, Universal Constant, Mass of the Moon & Harmonic Polynomial Expansion Terms for Moon 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 Moon, Distance from center of Earth to center of Moon, Universal Constant, Mass of the Moon & Harmonic Polynomial Expansion Terms for Moon. 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 Sun*Distance^3)/(Universal Constant*Mass of the Sun*Harmonic Polynomial Expansion Terms for Sun))

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