Top

Acceleration due to Gravity Calculator
Top
Acceleration due to Gravity Calculator (or Gravitational Acceleration Calculator) is an online tool for calculating Acceleration due to Gravity (Gravitational Acceleration) easily. It takes the inputs and calculates the Gravitational Acceleration, so it is handy for solving problems requiring Gravitational Acceleration Calculations.
 

Step by Step Calculation

Back to Top
Step 1 :  

Gravitational Acceleration Formula:

Gravitational Acceleration: a = GM/r2
Planet Mass: M = ar2/G
Radius from Planet Center: r = square root of(GM/a)
Where,
G = Universal Gravitational Constant = 6.6726×10-11 N-m2/kg2
M = Planet Mass
r = Radius from Planet Center



Step 2 :  

State the equation you plan to use and plug in the values.



Example Problems

Back to Top
  1. Find the acceleration due to gravity on Earth? such that Mass of the earth(M) = 5.98x1024 kg, Radius of the earth(r) = 6378100 m?

     


    Step 1 :  

    Given that:
    Mass of the earth(M) = 5.98x1024 kg
    Radius of the earth(r) = 6378100 m
    Acceleration due to gravity on Earth(a) = ?


     



    Step 2 :  

    Substitue the given values in the formula:
    Gravitational Acceleration: a = GM/r2
    a = (6.6726×10-11)×(5.98x1024) / (6378100)2
    a = 39.86×103 /4068.02
    a = 9.8



    Answer  :  

    a = 9.8 m /s2 .



  2. Calculate the Moon's radius? The gravitational acceleration of the moon(a) is 1.63 m/s2 and Mass of moon(M) = 7.36 x 1022 kg.


    Step 1 :  

    Given that:
    gravitational acceleration of the moon(a) = 1.63 m/s2
    Mass of moon(M) = 7.36 x 1022 kg
    Radius(r) = ?


     



    Step 2 :  

    Substitue the given values in the formula:
    Radius from Planet Center: r = square root of(GM/a)
    r = square root of((6.6726×10-11)×(7.36 x 1022)/1.63)
    r = square root of(49.11×1011/1.63)
    r = square root of(30.13×10-11)
    r = 1735771.889 m



    Answer  :  

    r = 1735771.889 m



*AP and SAT are registered trademarks of the College Board.