PHYIC CALCULATOR
Center of Gravity Calculator
A precise tool.
What is the Center of Gravity Calculator & How does it work?
The center of gravity (COG) is the point at which an object can be balanced. For a composite object, it is calculated by taking into account the weights and positions of its individual parts.This formula calculates the weighted average position of all parts, where each part’s contribution is proportional to its weight.
text{COG} = frac{sum (w_i times x_i)}{sum w_i}
w_i = weight of part i, x_i = position of part i
Parameters
Result
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Frequently Asked Questions
How do I calculate the center of gravity for a composite object?
Multiply each part’s weight by its position, sum these products, then divide by the total weight.
What is the formula for calculating the center of gravity?
COG = (w1 * x1 + w2 * x2 + … + wn * xn) / (w1 + w2 + … + wn), where wi is the weight and xi is the position of part i.
Can this calculator handle objects with different shapes?
Yes, as long as you can determine the weight and position of each part, regardless of shape.
What units should I use for weights and positions?
Use consistent units; typically kilograms for weight and meters for position in the metric system.
How does the center of gravity affect an object’s stability?
A lower center of gravity improves an object’s stability, making it less likely to tip over.
Can I use this calculator for objects in space?
Yes, but remember that weight (mass times gravitational acceleration) will be affected by the local gravitational field.
What if some parts of the object are not uniform?
Divide non-uniform parts into smaller sections with known weights and positions before calculating.
Results are for informational purposes only and do not constitute professional advice.