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Conversion calculator

CGS Units Calculator

Convert selected physical quantities between SI and CGS units.

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How to use the cgs units calculator

  1. Prepare the values for this calculation

    Convert selected physical quantities between SI and CGS units. Use the formula below to check that it answers your question. Read the input units before transferring figures from a statement, measurement or dataset.

  2. Enter and check each input

    • Quantity: choose Force: N ↔ dyn, Energy: J ↔ erg, Length: m ↔ cm, Mass: kg ↔ g. Match this selection to the data you enter.
    • Direction: choose SI → CGS, CGS → SI. Match this selection to the data you enter.
    • Value: enter a finite number. Use the unit named in the label or selected above. Do not leave this required field blank.

    The input table gives a complete example. Keep units and time periods consistent across related fields.

  3. Calculate and resolve any input error

    Choose Calculate after entering the values. Changes also update the answer after a short pause. If an error appears, follow its message, correct the field and calculate again. Reset restores the example values.

  4. Interpret the answer

    Check Converted value first. With the unchanged example inputs, it is 100,000. Compare the additional metrics with the primary result; each has its own label and unit.

  5. Compare and keep a useful result

    For a controlled comparison, keep every other example input unchanged and change Value from 1 to 1.1. The resulting Converted value is 110,000.00000000001. This illustrates the equation’s response to that input, rather than a forecast of real events.

    Read the chart’s axis labels and data table. A scenario curve changes one stated input while holding the others fixed; it does not add external observations. Use Download graph to save an available chart as a PNG.

    Use Copy result or Download CSV to keep the answer. Share tool shares the page address without placing your input values in the URL. Recheck inputs and assumptions before using the result for a decision.

CGS Units Calculator formula

Uses exact dimension-specific relationships such as 1 N = 100,000 dyn and 1 J = 10,000,000 erg.

Inputs and units

Inputs and example values for CGS Units Calculator
InputFormat / rangeExample
QuantitySelect an optionForce: N ↔ dyn
DirectionSelect an optionSI → CGS
ValueNumber1

Worked example

Using the example inputs above, the converted value is 100,000.

Converted value
100,000
Quantity
force
Direction
siToCgs

Results and assumptions

The output uses the converted value convention and formula shown above. Match the entered units and source assumptions when comparing results.

Fix an input or unexpected result

Value is required. Enter value using the format and bounds in the input table. Zero and an empty field are different: use zero only if it is allowed and represents your data.

If your answer differs from the example, choose Reset and compare every field, including selected units and options. Check percentage versus decimal entry and whether values describe the same period. Round only the final displayed answer when reproducing the formula.

If a discrepancy remains, report the calculator issue with the page address, non-sensitive example inputs, actual result, expected result and a reference for your calculation.