How to Calculate and Solve for Gravitational Acceleration | Gravity

The image above represents gravitational acceleration. To calculate gravitational acceleration, three essential parameters are needed and these parameters are Gravitational Constant (G), Mass of the Earth (m_E) and Radius of the Earth (R).

The formula for calculating gravitational acceleration:

a = ^Gm_E / _R²

Where:

a = Gravitational Acceleration
G = Gravitational Constant
m_E = Mass of the Earth
R = Radius of the Earth

Let’s solve an example;
Find the Gravitational acceleration when the gravitational constant is 6.67E-11, the mass of the earth is 12, and the radius of the earth is 21.

This implies that;

G = Gravitational Constant = 6.67E-11
m_E = Mass of the Earth = 12
R = Radius of the Earth = 21

a = ^Gm_E / _R²
Then, a = ^{(6.67e-11)(12)} / _(21)²
a = ^8.004e-10 / ₄₄₁
a = 1.81e-12

Therefore, the gravitational acceleration is 1.81e-12 m/s.

Read more: How to Calculate and Solve for Gravitational Force | The Calculator Encyclopedia

Calculating Mass of the Earth when the Gravitational Acceleration, the Gravitational Constant and the Radius of the Earth are Given

m_E = ^{a x R²} / _G

Where;

m_E = Mass of the Earth
a = Gravitational Acceleration
G = Gravitational Constant
R = Radius of the Earth

Let’s solve an example;
Find the mass of the earth when the gravitational acceleration is 25, the gravtitaional constant is 6.67E-11 and the radius of the earth is 2.

This implies that;

a = Gravitational Acceleration = 25
G = Gravitational Constant = 6.67E-11
R = Radius of the Earth = 2

m_E = ^{a x R²} / _G
m_E = ^{25 x 2²} / _6.67E-11
That is, m_E = ^{25 x 4} / _6.67E-11
m_E = ¹⁰⁰ / _6.67E-11
m_E = 14.99e+10

Therefore, the mass of the earth is 14.99e+10 m.

Read more: How to Calculate and Solve for Gravitational Potential | The Calculator Encyclopedia

How to Calculate and Solve for Gravitational Acceleration Using Nickzom Calculator

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the gravitational acceleration.

To get the answer and workings of the gravitational acceleration using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

Web – https://www.nickzom.org/calculator-plus

To get access to the professional version via web, you need to register and subscribe for NGN 2,000 per annum to have utter access to all functionalities.
You can also try the demo version via https://www.nickzom.org/calculator

Android (Paid) – https://play.google.com/store/apps/details?id=org.nickzom.nickzomcalculator
Android (Free) – https://play.google.com/store/apps/details?id=com.nickzom.nickzomcalculator
Apple (Paid) – https://itunes.apple.com/us/app/nickzom-calculator/id1331162702?mt=8
Once, you have obtained the calculator encyclopedia app, proceed to the Calculator Map, then click on Geology under Add-on.

Now, Click on Gravity under Geology

Now, Click on Gravitational Acceleration under Gravity

The screenshot below displays the page or activity to enter your values, to get the answer for the gravitational acceleration according to the respective parameters which are the Gravitational Constant (G), Mass of the Earth (m_E) and Radius of the Earth (R).

Now, enter the values appropriately and accordingly for the parameters as required by the Gravitational Constant (G), Mass of the Earth (m_E) and Radius of the Earth (R).

Finally, Click on Calculate

As you can see from the screenshot above, Nickzom Calculator– The Calculator Encyclopedia solves for the gravitational acceleration and presents the formula, workings and steps too.