Convert Knot to Escape velocity (Earth)
Unit definitions
Knot
A nautical mile is a unit of length used in navigation and is equal to $1\,852$ meters. A knot is a unit of speed expressed in nautical miles per hour.
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 $11.186\ \text{km/s}$.
How to convert Knot to Escape velocity (Earth)
$$\text{Speed}_{\text{Escape Velocityₑₐᵣₜₕ}} = \text{Speed}_{\text{kn}} \cdot 0.00004599002721656038301845560919403222$$
Examples
Example 1
Convert $50.0\ \text{kn}$ to $\text{Escape Velocityₑₐᵣₜₕ}$.
$$\text{Speed}_{\text{Escape Velocityₑₐᵣₜₕ}} = 50.0 \cdot 0.00004599002721656038301845560919403222$$
$$\text{Speed}_{\text{Escape Velocityₑₐᵣₜₕ}} = 0.0023$$
$$\therefore \ 50.0\ \text{kn} = 0.0023 \ \text{Escape Velocityₑₐᵣₜₕ}$$
Example 2
Convert $65.0\ \text{kn}$ to $\text{Escape Velocityₑₐᵣₜₕ}$.
$$\text{Speed}_{\text{Escape Velocityₑₐᵣₜₕ}} = 65.0 \cdot 0.00004599002721656038301845560919403222$$
$$\text{Speed}_{\text{Escape Velocityₑₐᵣₜₕ}} = 0.002989$$
$$\therefore \ 65.0\ \text{kn} = 0.002989 \ \text{Escape Velocityₑₐᵣₜₕ}$$
Example 3
Convert $115.0\ \text{kn}$ to $\text{Escape Velocityₑₐᵣₜₕ}$.
$$\text{Speed}_{\text{Escape Velocityₑₐᵣₜₕ}} = 115.0 \cdot 0.00004599002721656038301845560919403222$$
$$\text{Speed}_{\text{Escape Velocityₑₐᵣₜₕ}} = 0.005289$$
$$\therefore \ 115.0\ \text{kn} = 0.005289 \ \text{Escape Velocityₑₐᵣₜₕ}$$
Example 4
Convert $130.0\ \text{kn}$ to $\text{Escape Velocityₑₐᵣₜₕ}$.
$$\text{Speed}_{\text{Escape Velocityₑₐᵣₜₕ}} = 130.0 \cdot 0.00004599002721656038301845560919403222$$
$$\text{Speed}_{\text{Escape Velocityₑₐᵣₜₕ}} = 0.005979$$
$$\therefore \ 130.0\ \text{kn} = 0.005979 \ \text{Escape Velocityₑₐᵣₜₕ}$$
Example 5
Convert $160.0\ \text{kn}$ to $\text{Escape Velocityₑₐᵣₜₕ}$.
$$\text{Speed}_{\text{Escape Velocityₑₐᵣₜₕ}} = 160.0 \cdot 0.00004599002721656038301845560919403222$$
$$\text{Speed}_{\text{Escape Velocityₑₐᵣₜₕ}} = 0.007358$$
$$\therefore \ 160.0\ \text{kn} = 0.007358 \ \text{Escape Velocityₑₐᵣₜₕ}$$