What is the Center of Gravity Formula? Explanation and Calculations

What is the Center of Gravity Formula? Explanation and Calculations

The Center of gravity is a very important factor in the calculation of the gravity centers of different objects and parts. In today’s technology, people are using different tools to calculate the center of gravities of the parts. But the center of gravity depends on a very basic principle. The center of gravity formula is a common thing for all kinds of parts. Check how the gravity centers of different parts are calculated with the center of gravity formula. 

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Center of Gravity Formula

The general form of the center of gravity formula is very simple. The general form of the center of gravity formula is like this; 

These center of gravity formulae are defining the calculation of the center of gravities of multiple objects in 3D space. Each center of gravity formula is for one coordinate. 

The numerator side of the center of gravity formula is the calculation of the effect of each mass on the system to the center of gravity on that coordinate. To find these effects, the mass of each object is multiplied by the coordinate. For example in the X coordinate, each mass is multiplied by its X coordinate value and all of them are summed. 

This summation is divided into the summation of the masses of the system. So with this calculation of the center of gravity formula, the total system’s center of gravity in X coordinate is found. 

The calculation above is made in three coordinates and all the three coordinates of the center of gravity of the system are calculated with the center of gravity formula. 

  • Center of Gravity of 2D Objects: For the 2D objects, the only difference is that there is no Z coordinate for the calculations. Only two centers of gravity formulas are used which are X and Y. 
  • Center of Gravity Calculator: According to the center of gravity formulas that we explained, we created a calculator which is called the center of gravity calculator. The use of the center of gravity calculator is very simple. 

Conclusion

The general explanation of the center of gravity formula is very simple like above. 

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