Gravitational constant given radius of Earth and acceleration of gravity Calculator

✖Gravitational constant is the proportionality constant connecting the gravitational force between two bodies with the product of their masses and the inverse square of their distance.ⓘ Gravitational constant given radius of Earth and acceleration of gravity [[G]]

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Gravitational constant given radius of Earth and acceleration of gravity

Formula

`"[G]" = ("[g]"*"R"_{"M"}^2)/"[Earth-M]"`

Example

`"6.7E^-11"=("[g]"*("6371km")^2)/"[Earth-M]"`

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Gravitational constant given radius of Earth and acceleration of gravity Solution

STEP 0: Pre-Calculation Summary

Formula Used

Gravitational Constant = ([g]*Mean Radius of the Earth^2)/[Earth-M]
[G] = ([g]*R_M^2)/[Earth-M]
This formula uses 2 Constants, 2 Variables

Constants Used

[Earth-M] - Earth mass Value Taken As 5.9722E+24
[g] - Gravitational acceleration on Earth Value Taken As 9.80665

Variables Used

Gravitational Constant - Gravitational constant is the proportionality constant connecting the gravitational force between two bodies with the product of their masses and the inverse square of their distance.
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.

STEP 1: Convert Input(s) to Base Unit

Mean Radius of the Earth: 6371 Kilometer --> 6371000 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

[G] = ([g]*R_M^2)/[Earth-M] --> ([g]*6371000^2)/[Earth-M]

Evaluating ... ...

[G] = 6.66502131396554E-11

STEP 3: Convert Result to Output's Unit

6.66502131396554E-11 --> No Conversion Required

FINAL ANSWER

6.66502131396554E-11 ≈ 6.7E-11 <-- Gravitational Constant

(Calculation completed in 00.006 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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Gravitational constant given radius of Earth and acceleration of gravity Formula

Gravitational Constant = ([g]*Mean Radius of the Earth^2)/[Earth-M]
[G] = ([g]*R_M^2)/[Earth-M]

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How to Calculate Gravitational constant given radius of Earth and acceleration of gravity?

Gravitational constant given radius of Earth and acceleration of gravity calculator uses Gravitational Constant = ([g]*Mean Radius of the Earth^2)/[Earth-M] to calculate the Gravitational Constant, The Gravitational constant given radius of Earth and acceleration of gravity formula is the constant in Newton's law of gravitation relating gravity to the masses and separation of particles, equal to 6.67 × 10−11 N m2 kg−2. Gravitational Constant is denoted by [G] symbol.

How to calculate Gravitational constant given radius of Earth and acceleration of gravity using this online calculator? To use this online calculator for Gravitational constant given radius of Earth and acceleration of gravity, enter Mean Radius of the Earth (R_M) and hit the calculate button. Here is how the Gravitational constant given radius of Earth and acceleration of gravity calculation can be explained with given input values -> 6.7E-11 = ([g]*6371000^2)/[Earth-M].

FAQ

What is Gravitational constant given radius of Earth and acceleration of gravity?

The Gravitational constant given radius of Earth and acceleration of gravity formula is the constant in Newton's law of gravitation relating gravity to the masses and separation of particles, equal to 6.67 × 10−11 N m2 kg−2 and is represented as [G] = ([g]*R_M^2)/[Earth-M] or Gravitational Constant = ([g]*Mean Radius of the Earth^2)/[Earth-M]. Mean Radius of the Earth [6,371 km] in terms of Attractive Force Potentials per unit Mass for the Moon.

How to calculate Gravitational constant given radius of Earth and acceleration of gravity?

The Gravitational constant given radius of Earth and acceleration of gravity formula is the constant in Newton's law of gravitation relating gravity to the masses and separation of particles, equal to 6.67 × 10−11 N m2 kg−2 is calculated using Gravitational Constant = ([g]*Mean Radius of the Earth^2)/[Earth-M]. To calculate Gravitational constant given radius of Earth and acceleration of gravity, you need Mean Radius of the Earth (R_M). With our tool, you need to enter the respective value for Mean Radius of the Earth and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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