Convert grams or other mass units to newtons of weight—or newtons back to equivalent mass—using standard Earth, Moon, Mars, Jupiter, or custom gravity.
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Newtons From Grams Formula
Weight force is F = (G / 1,000) × a, where G is mass in grams and a is acceleration in m/s². The calculator defaults to standard Earth acceleration 9.80665 m/s²; the table and worked steps below use the rounded 9.81 m/s² option. See the NIST force definition and standard acceleration.
Variables:
- N is the Newtons From Grams (newtons)
- G is the total mass in grams (g)
To calculate Newtons From Grams, divide the mass in grams by 1000, then multiply by 9.81.
| Grams (g) | Newtons (N) |
|---|---|
| 1 | 0.010 |
| 5 | 0.049 |
| 10 | 0.098 |
| 25 | 0.245 |
| 50 | 0.491 |
| 75 | 0.736 |
| 100 | 0.981 |
| 150 | 1.472 |
| 200 | 1.962 |
| 250 | 2.453 |
| 300 | 2.943 |
| 400 | 3.924 |
| 500 | 4.905 |
| 750 | 7.358 |
| 1,000 | 9.810 |
| 1,500 | 14.715 |
| 2,000 | 19.620 |
| 2,500 | 24.525 |
| 5,000 | 49.050 |
| 10,000 | 98.100 |
| * Rounded to 3 decimals. Uses rounded Earth acceleration g = 9.81 m/s². Conversion: 1 g ≈ 0.00981 N; 1 kg ≈ 9.81 N. | |
How to Calculate Newtons From Grams?
The following steps outline how to calculate the Newtons From Grams.
- First, determine the total mass in grams (g).
- Next, gather the formula from above = N = G/1000 * 9.81.
- Finally, calculate the Newtons From Grams.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
total mass in grams (g) = 300
Using the rounded Earth option: F = (300 / 1,000) × 9.81 = 2.943 N. At standard acceleration 9.80665 m/s², the same mass weighs 2.941995 N.
