Convert G-force to Meter per square second
Unit definitions
G-force
G-force is a measure of acceleration expressed as multiples of standard gravity. $1\ \text{g}$ equals $9.806\,65\ \text{ms}^{-2}$, and $2\ \text{g}$ equals $2 \times 9.806\,65\ \text{ms}^{-2}$. G-force is often used to describe the sensation of acceleration.
Meter per square second
Meter per square second is the unit of acceleration in the International System of Units (SI). It is a derived unit (base units: meter and second).
How to convert G-force to Meter per square second
$$\text{Acceleration}_{\text{ms⁻²}} = \text{Acceleration}_{\text{g}} \cdot 9.80665$$
Examples
Example 1
Convert $45.0\ \text{g}$ to $\text{ms⁻²}$.
$$\text{Acceleration}_{\text{ms⁻²}} = 45.0 \cdot 9.80665$$
$$\text{Acceleration}_{\text{ms⁻²}} = 441.29925$$
$$\therefore \ 45.0\ \text{g} = 441.29925 \ \text{ms⁻²}$$
Example 2
Convert $65.0\ \text{g}$ to $\text{ms⁻²}$.
$$\text{Acceleration}_{\text{ms⁻²}} = 65.0 \cdot 9.80665$$
$$\text{Acceleration}_{\text{ms⁻²}} = 637.43225$$
$$\therefore \ 65.0\ \text{g} = 637.43225 \ \text{ms⁻²}$$
Example 3
Convert $120.0\ \text{g}$ to $\text{ms⁻²}$.
$$\text{Acceleration}_{\text{ms⁻²}} = 120.0 \cdot 9.80665$$
$$\text{Acceleration}_{\text{ms⁻²}} = 1176.798$$
$$\therefore \ 120.0\ \text{g} = 1176.798 \ \text{ms⁻²}$$
Example 4
Convert $150.0\ \text{g}$ to $\text{ms⁻²}$.
$$\text{Acceleration}_{\text{ms⁻²}} = 150.0 \cdot 9.80665$$
$$\text{Acceleration}_{\text{ms⁻²}} = 1470.9975$$
$$\therefore \ 150.0\ \text{g} = 1470.9975 \ \text{ms⁻²}$$
Example 5
Convert $185.0\ \text{g}$ to $\text{ms⁻²}$.
$$\text{Acceleration}_{\text{ms⁻²}} = 185.0 \cdot 9.80665$$
$$\text{Acceleration}_{\text{ms⁻²}} = 1814.23025$$
$$\therefore \ 185.0\ \text{g} = 1814.23025 \ \text{ms⁻²}$$