Kilogram Square Meter to Gram Square Centimeter Conversion

Convert between Kilogram Square Meter and Gram Square Centimeter quickly and accurately.

kg·m²
g·cm²

How to Convert Kilogram Square Meter to Gram Square Centimeter

Conversion Formula

1 kg·m² = 10000000 g·cm²
1 g·cm² = 1E-7 kg·m²

Example

Convert 15 kg·m² to g·cm²:

15 kg·m² = 15 × 10000000 g·cm² = 150000000 g·cm²

Unit Information

Learn about the moment of inertia units you're converting between

Kilogram Square Meter

kg·m²

Definition

The kilogram square meter (kg·m²) is the SI unit of moment of inertia, representing the resistance of a body to angular acceleration. It is calculated as the sum of the products of mass and the square of the distance from the axis of rotation.

History/Origin

Derived from the SI base units of mass (kilogram) and length (meter). It became the standard unit for moment of inertia in the International System of Units, fundamental in rotational dynamics and mechanical engineering.

Current Use

Widely used in mechanical engineering, physics, and robotics to calculate rotational motion, design rotating machinery, analyze gyroscopic effects, and solve problems involving angular momentum and torque.

Multiplier

1

Offset

0

Gram Square Centimeter

g·cm²

Definition

The gram square centimeter (g·cm²) is a unit of moment of inertia for small-scale applications. It is commonly used in laboratory equipment and small mechanical devices.

History/Origin

This unit combines the gram with the square centimeter, providing a measure for moment of inertia in small-scale mechanical systems and laboratory applications.

Current Use

Used in laboratory equipment, small mechanical devices, educational demonstrations, and applications where gram and centimeter units are more appropriate than kilogram and meter units.

Multiplier

1E-7

Offset

0

Kilogram Square Meter to Gram Square Centimeter Conversion Table

Kilogram Square Meter [kg·m²] Gram Square Centimeter [g·cm²]
1 kg·m² 10000000 g·cm²
10 kg·m² 100000000 g·cm²
25 kg·m² 250000000 g·cm²
50 kg·m² 500000000 g·cm²
100 kg·m² 1000000000 g·cm²
0 kg·m² 0E+0 g·cm²
-10 kg·m² -100000000 g·cm²
-40 kg·m² -400000000 g·cm²