Mass and Weight · Unit Converter

Convert Carat (metric) to Kilogram-force square second/meter

Convert carats (metric) to kilogram-force square second/meters instantly. 1 carat (metric) = 2.039432e-5 kilogram-force square second/meter — use the live calculator, the exact formula, a conversion table and worked examples. Also check the Kilogram-force square second/meter to Carat (metric) converter for the reverse conversion.

Written by Sunith Babu L, Ph.D., Lead Engineer Reviewed by Dr. Ashok Kumar K, Ph.D.
Mass and Weight category 2 min read Published Last reviewed Updated

Units explained

Troy & Apothecary

Carat (metric)

What is a carat (metric)?

The metric carat (ct) equals exactly 200 milligrams (0.0002 kg).

Origin of the carat (metric)

From Arabic 'qirat' and Greek 'keration', the carob seed once used as a counterweight.

Where it is used

The worldwide standard for gemstone and diamond mass.

When and where it was developed

The metric carat was fixed at 200 mg internationally in 1907.

Force / Engineering

Kilogram-force square second/meter

What is a kilogram-force square second/meter?

The kilogram-force second-squared per meter (the hyl or TME) is about 9.807 kg.

Origin of the kilogram-force square second/meter

The mass unit of the metric gravitational (technical) system.

Where it is used

Older continental European engineering practice.

When and where it was developed

Used in the metric technical system before SI adoption.

Carat (metric) to Kilogram-force square second/meter conversion formula

The relationship between carats (metric) and kilogram-force square second/meters:

1 ct = 2.039432e-5 hyl
1 hyl = 49033.25 ct

To convert carats (metric) to kilogram-force square second/meters, multiply the value in carats (metric) by 2.039432e-5. To reverse, multiply kilogram-force square second/meters by 49033.25.

How to use this converter

Type a value into the calculator. The result in kilogram-force square second/meters updates as you type. Tap a quick value, copy the result with one click, or use the swap arrow to jump straight to the Kilogram-force square second/meter to Carat (metric) converter for the reverse direction.

Step-by-step: convert carats (metric) to kilogram-force square second/meters

  1. Write down the value in carats (metric) (ct).
  2. Multiply that value by the factor 2.039432e-5.
  3. The product is the equivalent value in kilogram-force square second/meters (hyl).
  4. To reverse, multiply the kilogram-force square second/meter value by 49033.25.

Worked examples

Example 1 — Convert 1 ct to hyl:
1 × 2.039432e-5 = 2.039432e-5 hyl

Example 2 — Convert 100 ct to hyl:
100 × 2.039432e-5 = 0.0020394324 hyl

Real-world example — From microscopic to macroscopic

A million carats (metric) equals exactly one kilogram-force square second/meter. This kind of conversion appears in microfluidics, where total channel length is given in kilogram-force square second/meters but feature widths are in carats (metric).

1000000 ct × 2.039432e-5 = 20.3943242596 hyl

Real-world example — Macro-scale buildup

A million carats (metric) equals exactly one kilogram-force square second/meter — the conversion that bridges microscale features and macroscale objects in microfluidic, biomedical, and semiconductor packaging design.

1000000 ct × 2.039432e-5 = 20.3943242596 hyl

Real-world example — Quarter-meter measurement reference

A 250,000-carat (metric) length equals 0.25 kilogram-force square second/meters — useful for comparing supply-chain spec sheets where some lengths are quoted in the smaller unit and some in the larger.

250000 ct × 2.039432e-5 = 5.0985810649 hyl

Carat (metric) to Kilogram-force square second/meter conversion table

Standard reference values for converting carats (metric) to kilogram-force square second/meters:

Carat (metric) [ct]Kilogram-force square second/meter [hyl]
0.012.039432e-7
0.12.039432e-6
12.039432e-5
24.078865e-5
36.118297e-5
48.15773e-5
50.0001019716
100.0002039432
200.0004078865
300.0006118297
400.000815773
500.0010197162
1000.0020394324
5000.0101971621
10000.0203943243

Frequently asked questions

How many kilogram-force square second/meters is 1 carat (metric)?
1 carat (metric) equals 2.039432e-5 kilogram-force square second/meter.
How do I convert carats (metric) to kilogram-force square second/meters?
Multiply the value in carats (metric) by 2.039432e-5 to get kilogram-force square second/meters.
How do I convert kilogram-force square second/meters back to carats (metric)?
Multiply the value in kilogram-force square second/meters by 49033.25, or use the Kilogram-force square second/meter to Carat (metric) converter.
How many kilogram-force square second/meters is 100 carats (metric)?
100 carats (metric) equals 0.0020394324 kilogram-force square second/meters, because 100 × 2.039432e-5 = 0.0020394324.

Convert Carat (metric) to other weight units

Show all Carat (metric) conversions
Metric / SI (18 units)
Avoirdupois (15 units)
Troy & Apothecary (9 units)
Indian / South Asian (6 units)
Scientific / Atomic (9 units)
Astronomical (4 units)
Biblical / Ancient (14 units)
Force / Engineering (5 units)

Sources & references

Conversion factor (1 ct = 2.039432e-5 hyl) verified against the following authoritative sources:

Results are provided for general reference. Verify critical measurements against an authoritative standard.