Grams To Newtons Converter

A 100 g apple pulls down on your hand with about 1 newton, a handy size to remember.

The grams to Newtons formula

A gram is a thousandth of a kilogram, so the weight of 1 g is 9.80665 divided by 1,000.

That gives 0.00980665 N per gram (Wikipedia: Kilogram-force).

Take 100 grams. Multiply by 0.0098067. The answer is 0.9807 Newtons.

Take 250 grams. Multiply by 0.0098067. The answer is 2.452 Newtons.

Grams and newtons

A gram (g) is a unit of mass.

A newton (N) is the SI unit of force.

The factor 0.0098067 joins the two.

How to convert grams to Newtons step by step

1. Write down the value in grams.
2. Multiply it by 0.0098067.
3. The answer is in Newtons.
4. Check it against the chart above.

The answer assumes standard gravity, so it is the weight of the mass near Earth.

grams to Newtons conversion table

The highlighted row, 100 grams, is the default of the converter. The last column gives mN.

A quick mental shortcut for grams to Newtons

Move the decimal point two places to the left.

So 300 g is about 3 N.

What grams measures

A gram (g) is a unit of mass.

Here the page finds the weight of that mass, which is a force.

What Newtons measures

A newton (N) is the SI unit of force.

One newton is the force that gives 1 kg an acceleration of 1 m/s² (Wikipedia: Newton (unit)).

Worked example: 1,000 grams

1,000 grams times the factor gives 9.8067 Newtons.

Check it by dividing 9.8067 by the factor, which returns 1,000.

Worked example: 500 grams

500 grams times the factor gives 4.9033 Newtons.

Check it by dividing 4.9033 by the factor, which returns 500.

The 1 N apple rule

A mass of about 102 g weighs 1 N on Earth.

That is close to a small apple or a bar of chocolate.

Gram-force on the side

One gram-force is the force of gravity on 1 g, and it equals 0.00980665 N (Wikipedia: Kilogram-force).

That is the number this page uses.

A quick estimate

Divide the grams by 100 for a fast guess.

So 450 g is about 4.5 N, and the exact answer is 4.41 N.

Going the other way

To go back, divide the newtons by 0.00980665.

So 4.9033 N is 500 g.

Check your answer

Your answer should be smaller than your starting number.

Reverse the sum and you should get your first number back.

More values at a glance

0.5 grams is 0.0049 newtons. 2 grams is 0.0196 newtons. 5 grams is 0.049 newtons.

10 grams is 0.0981 newtons. 25 grams is 0.2452 newtons. 100 grams is 0.9807 newtons.

Each answer is the input times 0.0098. You can use the same factor for any value that is not listed here.

The unit sizes

One of the grams equals 0.0098 newtons. One of the newtons equals 101.9716 grams.

If a result looks very large or very small, compare it with these sizes before you use it.

Checking in reverse

Take 0.0981 newtons and divide by 0.0098. You get back 10 grams. If you do not, one of the numbers was typed or rounded wrongly.

Quick conversion answers

Round numbers for gram and Newtons

Use these round numbers to check your own answer. 5,000 gram is 49.03 Newtons, 50,000 gram is 490.3 Newtons and 500,000 gram is 4,903 Newtons.

Going the other way, 5 Newtons is 509.9 gram, 50 Newtons is 5,099 gram and 500 Newtons is 50,990 gram.

A round trip with gram

Say you start with 37,000 gram. It becomes 362.8 Newtons. Divide that by the factor and you land on 37,000 gram again.

Now start from 250 Newtons instead. It becomes 25,490 gram, and multiplying by the factor returns 250 Newtons.

A heavier example

A person of 70,000 g, which is 70 kg, weighs 686.47 N on Earth.

A bag of 2,000 g weighs 19.613 N.

The kg to Newtons page gives the same result for kilograms.

Where this conversion is used

Lab staff weigh samples and check force sensors.

Students link mass and force.

Makers size small springs and hooks.

Common mistakes to avoid

• Mixing up the direction. Going from grams to Newtons should make the number smaller.
• Treating grams as a force. Grams measure mass, so you must apply gravity to get newtons.
• Mixing grams and kilograms. For kilograms, use the kg to Newtons page.
• Rounding too early. The answer for 2,000 grams is 19.613 Newtons. Cut it to 20 Newtons and you are off by about 2.0 percent, and the gap grows if you reuse it.

Related converters

• kg to Newtons
• N to kg
• Newtons to kN
• Newtons to lbf
• Grams per Watt

Example: 50 grams

50 grams times the factor gives 0.49033 Newtons.

Check it by dividing 0.49033 by the factor, which returns 50.

Example: 2,000 grams

2,000 grams times the factor gives 19.613 Newtons.

Check it by dividing 19.613 by the factor, which returns 2,000.

Frequently asked questions

Sources

• Wikipedia: Kilogram-force (en.wikipedia.org)
• Wikipedia: Newton (unit) (en.wikipedia.org)