Convert Standard Gravity to Decimeters per square second
Unit definitions
Standard Gravity
Standard gravity is the average gravitational acceleration on Earth's surface (i.e., sea level). It is equal to $9.806\,65\ \text{ms}^{-2}$.
Decimeters per square second
$10^{1}$ of a meters per second squared is a decimeter per second squared.
How to convert Standard Gravity to Decimeters per square second
$$\text{Acceleration}_{\text{dm/s²}} = \text{Acceleration}_{\text{gₙ}} \cdot 98.0665$$
Examples
Example 1
Convert $40.0\ \text{gₙ}$ to $\text{dm/s²}$.
$$\text{Acceleration}_{\text{dm/s²}} = 40.0 \cdot 98.0665$$
$$\text{Acceleration}_{\text{dm/s²}} = 3922.66$$
$$\therefore \ 40.0\ \text{gₙ} = 3922.66 \ \text{dm/s²}$$
Example 2
Convert $90.0\ \text{gₙ}$ to $\text{dm/s²}$.
$$\text{Acceleration}_{\text{dm/s²}} = 90.0 \cdot 98.0665$$
$$\text{Acceleration}_{\text{dm/s²}} = 8825.985$$
$$\therefore \ 90.0\ \text{gₙ} = 8825.985 \ \text{dm/s²}$$
Example 3
Convert $100.0\ \text{gₙ}$ to $\text{dm/s²}$.
$$\text{Acceleration}_{\text{dm/s²}} = 100.0 \cdot 98.0665$$
$$\text{Acceleration}_{\text{dm/s²}} = 9806.65$$
$$\therefore \ 100.0\ \text{gₙ} = 9806.65 \ \text{dm/s²}$$
Example 4
Convert $140.0\ \text{gₙ}$ to $\text{dm/s²}$.
$$\text{Acceleration}_{\text{dm/s²}} = 140.0 \cdot 98.0665$$
$$\text{Acceleration}_{\text{dm/s²}} = 13729.31$$
$$\therefore \ 140.0\ \text{gₙ} = 13729.31 \ \text{dm/s²}$$
Example 5
Convert $170.0\ \text{gₙ}$ to $\text{dm/s²}$.
$$\text{Acceleration}_{\text{dm/s²}} = 170.0 \cdot 98.0665$$
$$\text{Acceleration}_{\text{dm/s²}} = 16671.305$$
$$\therefore \ 170.0\ \text{gₙ} = 16671.305 \ \text{dm/s²}$$