Moon's Tide-generating attractive Force Potential Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
VM = f*M*((1/rS/MX)-(1/rm)-([Earth-R]*cos(θm/s)/rm^2))
This formula uses 1 Constants, 1 Functions, 6 Variables
Constants Used
[Earth-R] - Earth mean radius Value Taken As 6371.0088
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
Variables Used
Attractive Force Potentials for Moon - Attractive Force Potentials for Moon per unit Mass for the Sun or the Moon.
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].
Distance of point - (Measured in Meter) - Distance of point located on the Surface of the Earth to the center of 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).
Angle made by the distance of point - (Measured in Radian) - Angle made by the distance of point located on the Surface of the Earth to the center of the Moon or Sun.
STEP 1: Convert Input(s) to Base Unit
Universal Constant: 2 --> No Conversion Required
Mass of the Moon: 7.35E+22 Kilogram --> 7.35E+22 Kilogram No Conversion Required
Distance of point: 256 Kilometer --> 256000 Meter (Check conversion here)
Distance from center of Earth to center of Moon: 384467 Kilometer --> 384467000 Meter (Check conversion here)
Angle made by the distance of point: 12.5 Degree --> 0.21816615649925 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
VM = f*M*((1/rS/MX)-(1/rm)-([Earth-R]*cos(θm/s)/rm^2)) --> 2*7.35E+22*((1/256000)-(1/384467000)-([Earth-R]*cos(0.21816615649925)/384467000^2))
Evaluating ... ...
VM = 5.73830216789452E+17
STEP 3: Convert Result to Output's Unit
5.73830216789452E+17 --> No Conversion Required
FINAL ANSWER
5.73830216789452E+17 5.7E+17 <-- Attractive Force Potentials for Moon
(Calculation completed in 00.004 seconds)

Credits

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

Moon's Tide-generating attractive Force Potential 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))
VM = f*M*((1/rS/MX)-(1/rm)-([Earth-R]*cos(θm/s)/rm^2))

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 Moon's Tide-generating attractive Force Potential?

Moon's Tide-generating attractive Force Potential calculator 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 calculate the Attractive Force Potentials for Moon, The Moon's Tide-generating attractive Force Potential at 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 VM symbol.

How to calculate Moon's Tide-generating attractive Force Potential using this online calculator? To use this online calculator for Moon's Tide-generating attractive Force Potential, enter Universal Constant (f), Mass of the Moon (M), Distance of point (rS/MX), Distance from center of Earth to center of Moon (rm) & Angle made by the distance of point m/s) and hit the calculate button. Here is how the Moon's Tide-generating attractive Force Potential calculation can be explained with given input values -> 5.7E+17 = 2*7.35E+22*((1/256000)-(1/384467000)-([Earth-R]*cos(0.21816615649925)/384467000^2)).

FAQ

What is Moon's Tide-generating attractive Force Potential?
The Moon's Tide-generating attractive Force Potential at 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 and is represented as VM = f*M*((1/rS/MX)-(1/rm)-([Earth-R]*cos(θm/s)/rm^2)) or 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)). Universal Constant in terms of Radius of the Earth and Acceleration of Gravity, Mass of the Moon [7.34767309 × 10^22 kilograms], Distance of point located on the Surface of the Earth to the center of 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) & Angle made by the distance of point located on the Surface of the Earth to the center of the Moon or Sun.
How to calculate Moon's Tide-generating attractive Force Potential?
The Moon's Tide-generating attractive Force Potential at 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 is calculated using 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 calculate Moon's Tide-generating attractive Force Potential, you need Universal Constant (f), Mass of the Moon (M), Distance of point (rS/MX), Distance from center of Earth to center of Moon (rm) & Angle made by the distance of point m/s). With our tool, you need to enter the respective value for Universal Constant, Mass of the Moon, Distance of point, Distance from center of Earth to center of Moon & Angle made by the distance of point 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 Attractive Force Potentials for Moon?
In this formula, Attractive Force Potentials for Moon uses Universal Constant, Mass of the Moon, Distance of point, Distance from center of Earth to center of Moon & Angle made by the distance of point. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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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