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]]

⎘ Copy

👎

Formula

✖

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]"`

Calculator

LaTeX

Reset

👍

Download Coastal and Ocean Engineering Formula PDF PDF Image

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 00.004 seconds)

You are here -

Home » Engineering » Civil » Coastal and Ocean Engineering » Water Levels and Long Waves » Tide Producing Forces » Gravitational constant given radius of Earth and acceleration of gravity

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 13 Tide Producing Forces Calculators

Poisson Probability Law for Number of Storms simulated per year

Go Poisson Probability Law for the number of storms = (e^-(Mean Frequency of Observed Events*Number of Years)*(Mean Frequency of Observed Events*Number of Years)^Number of Storm Events)/(Number of Storm Events!)

Distance from center of Earth to center of Sun given Attractive Force Potentials

Go Distance = ((Mean Radius of the Earth^2*Universal Constant*Mass of the Sun*Harmonic Polynomial Expansion Terms for Sun)/Attractive Force Potentials for Sun)^(1/3)

Separation of distance between centers of mass of two bodies given gravitational forces

Go Distance between Two Masses = sqrt((([g])*Mass of Body A*Mass of Body B)/Gravitational Forces Between Particles)

Phase Lag given Modified Epoch that accounts for longitude and Time Meridian Corrections

Go Phase Lag = Modified form of the Epoch-Local and Greenwich Phase Arguments+(Wave Amplitude*Local Time Meridian/15)

Local Time Meridian given Modified Epoch for longitude and Time Meridian Corrections

Go Local Time Meridian = (Phase Lag-Modified form of the Epoch+Local and Greenwich Phase Arguments)*15/Wave Amplitude

Modified form of epoch accounting for longitude and time meridian corrections

Go Modified form of the Epoch = Phase Lag+Local and Greenwich Phase Arguments-(Wave Amplitude*Local Time Meridian/15)

Gravitational Forces on particles

Go Gravitational Forces Between Particles = [g]*(Mass of Body A*Mass of Body B/Distance between Two Masses^2)

Distance of point located on surface of Earth to center of Moon

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

Distance of point located on surface of earth to center of sun

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

Gravitational constant given radius of Earth and acceleration of gravity

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

Local Time Meridian given Greenwich Time Measured

Go Local Time Meridian = 15*(Greenwich Time Measured-Local Time)

Local Time given Greenwich Time Measured

Go Local Time = Greenwich Time Measured-(Local Time Meridian/15)

Greenwich Time Measured

Go Greenwich Time Measured = Local Time+(Local Time Meridian/15)

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]

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 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.

Home

FREE PDFs

🔍 Search