Convert Knot to Speed of sound at 0 degrees Celsius
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.
Speed of sound at 0 degrees Celsius
The speed of sound in air is $331.30\ \text{m/s}$ at 0 degrees Celsius.
How to convert Knot to Speed of sound at 0 degrees Celsius
$$\text{Speed}_{\text{Speed of sound₀}} = \text{Speed}_{\text{kn}} \cdot 0.001552805446557333065030016433578160$$
Examples
Example 1
Convert $30.0\ \text{kn}$ to $\text{Speed of sound₀}$.
$$\text{Speed}_{\text{Speed of sound₀}} = 30.0 \cdot 0.001552805446557333065030016433578160$$
$$\text{Speed}_{\text{Speed of sound₀}} = 0.046584$$
$$\therefore \ 30.0\ \text{kn} = 0.046584 \ \text{Speed of sound₀}$$
Example 2
Convert $85.0\ \text{kn}$ to $\text{Speed of sound₀}$.
$$\text{Speed}_{\text{Speed of sound₀}} = 85.0 \cdot 0.001552805446557333065030016433578160$$
$$\text{Speed}_{\text{Speed of sound₀}} = 0.131988$$
$$\therefore \ 85.0\ \text{kn} = 0.131988 \ \text{Speed of sound₀}$$
Example 3
Convert $115.0\ \text{kn}$ to $\text{Speed of sound₀}$.
$$\text{Speed}_{\text{Speed of sound₀}} = 115.0 \cdot 0.001552805446557333065030016433578160$$
$$\text{Speed}_{\text{Speed of sound₀}} = 0.178573$$
$$\therefore \ 115.0\ \text{kn} = 0.178573 \ \text{Speed of sound₀}$$
Example 4
Convert $130.0\ \text{kn}$ to $\text{Speed of sound₀}$.
$$\text{Speed}_{\text{Speed of sound₀}} = 130.0 \cdot 0.001552805446557333065030016433578160$$
$$\text{Speed}_{\text{Speed of sound₀}} = 0.201865$$
$$\therefore \ 130.0\ \text{kn} = 0.201865 \ \text{Speed of sound₀}$$
Example 5
Convert $180.0\ \text{kn}$ to $\text{Speed of sound₀}$.
$$\text{Speed}_{\text{Speed of sound₀}} = 180.0 \cdot 0.001552805446557333065030016433578160$$
$$\text{Speed}_{\text{Speed of sound₀}} = 0.279505$$
$$\therefore \ 180.0\ \text{kn} = 0.279505 \ \text{Speed of sound₀}$$