Convert Speed of sound at 20 degrees Celsius to Speed of sound rounded
Unit definitions
Speed of sound at 20 degrees Celsius
The speed of sound in air is $343.21\ \text{m/s}$ at 20 degrees Celsius.
Speed of sound rounded
The speed of sound is frequently rounded to $340\ \text{m/s}$ in introductory physics calculations.
How to convert Speed of sound at 20 degrees Celsius to Speed of sound rounded
$$\text{Speed}_{\text{Speed of sound}} = \text{Speed}_{\text{Speed of sound₂₀}} \cdot 1.009441176470588235294117647058824$$
Examples
Example 1
Convert $30.0\ \text{Speed of sound₂₀}$ to $\text{Speed of sound}$.
$$\text{Speed}_{\text{Speed of sound}} = 30.0 \cdot 1.009441176470588235294117647058824$$
$$\text{Speed}_{\text{Speed of sound}} = 30.283235$$
$$\therefore \ 30.0\ \text{Speed of sound₂₀} = 30.283235 \ \text{Speed of sound}$$
Example 2
Convert $80.0\ \text{Speed of sound₂₀}$ to $\text{Speed of sound}$.
$$\text{Speed}_{\text{Speed of sound}} = 80.0 \cdot 1.009441176470588235294117647058824$$
$$\text{Speed}_{\text{Speed of sound}} = 80.755294$$
$$\therefore \ 80.0\ \text{Speed of sound₂₀} = 80.755294 \ \text{Speed of sound}$$
Example 3
Convert $120.0\ \text{Speed of sound₂₀}$ to $\text{Speed of sound}$.
$$\text{Speed}_{\text{Speed of sound}} = 120.0 \cdot 1.009441176470588235294117647058824$$
$$\text{Speed}_{\text{Speed of sound}} = 121.132941$$
$$\therefore \ 120.0\ \text{Speed of sound₂₀} = 121.132941 \ \text{Speed of sound}$$
Example 4
Convert $140.0\ \text{Speed of sound₂₀}$ to $\text{Speed of sound}$.
$$\text{Speed}_{\text{Speed of sound}} = 140.0 \cdot 1.009441176470588235294117647058824$$
$$\text{Speed}_{\text{Speed of sound}} = 141.321765$$
$$\therefore \ 140.0\ \text{Speed of sound₂₀} = 141.321765 \ \text{Speed of sound}$$
Example 5
Convert $165.0\ \text{Speed of sound₂₀}$ to $\text{Speed of sound}$.
$$\text{Speed}_{\text{Speed of sound}} = 165.0 \cdot 1.009441176470588235294117647058824$$
$$\text{Speed}_{\text{Speed of sound}} = 166.557794$$
$$\therefore \ 165.0\ \text{Speed of sound₂₀} = 166.557794 \ \text{Speed of sound}$$