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Load location

Machine Load Center of Gravity Calculator

Find the two-dimensional center of gravity, total mass, and radial offset for up to three component masses on an actuator carriage. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.

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Load location

Run the calculation

Find the two-dimensional center of gravity, total mass, and radial offset for up to three component masses on an actuator carriage. Enter the application values to calculate four decision-ready outputs and review the governing assumptions before selecting equipment.

Engineering inputsCenter of Gravity Calculator

Enter the known application values. Outputs update instantly as units or assumptions change.

Use these values for preliminary sizing before final datasheet review.

Engineering visual

Center of Gravity Calculator calculation path

Each mass contributes a weighted distance from the datum. The combined center of gravity is the balance point of those moments.

Center of Gravity Calculator calculation pathEach mass contributes a weighted distance from the datum. The combined center of gravity is the balance point of those moments.m₁ @ x₁m₂ @ x₂m₃COMBINED CGDATUM 0
  1. 01Mass 1
  2. 02Calculate and compare
  3. 03Total mass
Total mass
Center of gravity X
Center of gravity Y
Radial offset from origin

Calculation reference

What this tool checks.

Use the displayed relationship to understand how the entered conditions affect the result. Treat the output as a preliminary selection, then verify actual operating conditions, catalog limits, and safety margin.

Inputs

  • Mass 1
  • Mass 1 X position
  • Mass 1 Y position
  • Mass 2
  • Mass 2 X position
  • Mass 2 Y position
  • Mass 3
  • Mass 3 X position
  • Mass 3 Y position

Outputs

  • Total mass
  • Center of gravity X
  • Center of gravity Y
  • Radial offset from origin

Engineering guide

Use the result with the right context.

Calculate center of gravity calculator for a pneumatic application and compare the result with supplier data.

Calculation workflow

  1. Enter Mass 1, Mass 1 X position, Mass 1 Y position and replace every default with application data.

  2. Run the calculation while keeping pressure, temperature, geometry, and reference states consistent.

  3. Interpret Total mass, Center of gravity X, Center of gravity Y against the supplier datasheet, machine risk, and an appropriate design margin.

Assumptions and limits

  • The relationship is a first-pass rigid-body or elastic-member estimate; guides, joints, seals, and structural compliance can change the installed result.

  • Use pressure available at the actuator and verify mounting, cushioning, duty, speed, and catalog load limits.

FAQ

Common review questions.

01Tool noteWhat does the Center of Gravity Calculator calculate?

Find the two-dimensional center of gravity, total mass, and radial offset for up to three component masses on an actuator carriage. It returns Total mass, Center of gravity X, Center of gravity Y, Radial offset from origin so the primary answer and its supporting checks stay together.

02Tool noteCan I use the result as a final component selection?

Use it for preliminary engineering and RFQ comparison. Final selection must include supplier ratings, installation losses, transient conditions, applicable standards, machine risk, and validation testing.

03Tool noteWhy can a supplier calculation differ?

Supplier tools may use proprietary test curves, correction factors, rounding, leakage allowances, or reference conditions. Match those conditions and replace the defaults before comparing results.

04Tool noteWhat should I verify after using the Center of Gravity Calculator?

Check the entered units and reference conditions, then compare the calculated outputs with manufacturer ratings, application safety margins, transient loads, installation losses, and measured machine performance.