Convert Escape velocity (Earth) to Speed of sound rounded
Unit definitions
Escape velocity (Earth)
The escape velocity is the minimum speed required to overcome the effects of gravity from the surface without falling back. The escape velocity of Earth is equal to $11.186\ \text{km/s}$.
Speed of sound rounded
The speed of sound is frequently rounded to $340\ \text{m/s}$ in introductory physics calculations.
How to convert Escape velocity (Earth) to Speed of sound rounded
$$\text{Speed}_{\text{Speed of sound}} = \text{Speed}_{\text{Escape Velocityₑₐᵣₜₕ}} \cdot 32.9$$
Examples
Example 1
Convert $35.0\ \text{Escape Velocityₑₐᵣₜₕ}$ to $\text{Speed of sound}$.
$$\text{Speed}_{\text{Speed of sound}} = 35.0 \cdot 32.9$$
$$\text{Speed}_{\text{Speed of sound}} = 1151.5$$
$$\therefore \ 35.0\ \text{Escape Velocityₑₐᵣₜₕ} = 1151.5 \ \text{Speed of sound}$$
Example 2
Convert $85.0\ \text{Escape Velocityₑₐᵣₜₕ}$ to $\text{Speed of sound}$.
$$\text{Speed}_{\text{Speed of sound}} = 85.0 \cdot 32.9$$
$$\text{Speed}_{\text{Speed of sound}} = 2796.5$$
$$\therefore \ 85.0\ \text{Escape Velocityₑₐᵣₜₕ} = 2796.5 \ \text{Speed of sound}$$
Example 3
Convert $100.0\ \text{Escape Velocityₑₐᵣₜₕ}$ to $\text{Speed of sound}$.
$$\text{Speed}_{\text{Speed of sound}} = 100.0 \cdot 32.9$$
$$\text{Speed}_{\text{Speed of sound}} = 3290$$
$$\therefore \ 100.0\ \text{Escape Velocityₑₐᵣₜₕ} = 3290 \ \text{Speed of sound}$$
Example 4
Convert $140.0\ \text{Escape Velocityₑₐᵣₜₕ}$ to $\text{Speed of sound}$.
$$\text{Speed}_{\text{Speed of sound}} = 140.0 \cdot 32.9$$
$$\text{Speed}_{\text{Speed of sound}} = 4606$$
$$\therefore \ 140.0\ \text{Escape Velocityₑₐᵣₜₕ} = 4606 \ \text{Speed of sound}$$
Example 5
Convert $195.0\ \text{Escape Velocityₑₐᵣₜₕ}$ to $\text{Speed of sound}$.
$$\text{Speed}_{\text{Speed of sound}} = 195.0 \cdot 32.9$$
$$\text{Speed}_{\text{Speed of sound}} = 6415.5$$
$$\therefore \ 195.0\ \text{Escape Velocityₑₐᵣₜₕ} = 6415.5 \ \text{Speed of sound}$$