Convert Speed of sound rounded to Speed of sound at 20 degrees Celsius
Unit definitions
Speed of sound rounded
The speed of sound is frequently rounded to $340\ \text{m/s}$ in introductory physics calculations.
Speed of sound at 20 degrees Celsius
The speed of sound in air is $343.21\ \text{m/s}$ at 20 degrees Celsius.
How to convert Speed of sound rounded to Speed of sound at 20 degrees Celsius
$$\text{Speed}_{\text{Speed of sound₂₀}} = \text{Speed}_{\text{Speed of sound}} \cdot 0.9906471256665015588123889164068646$$
Examples
Example 1
Convert $35.0\ \text{Speed of sound}$ to $\text{Speed of sound₂₀}$.
$$\text{Speed}_{\text{Speed of sound₂₀}} = 35.0 \cdot 0.9906471256665015588123889164068646$$
$$\text{Speed}_{\text{Speed of sound₂₀}} = 34.672649$$
$$\therefore \ 35.0\ \text{Speed of sound} = 34.672649 \ \text{Speed of sound₂₀}$$
Example 2
Convert $85.0\ \text{Speed of sound}$ to $\text{Speed of sound₂₀}$.
$$\text{Speed}_{\text{Speed of sound₂₀}} = 85.0 \cdot 0.9906471256665015588123889164068646$$
$$\text{Speed}_{\text{Speed of sound₂₀}} = 84.205006$$
$$\therefore \ 85.0\ \text{Speed of sound} = 84.205006 \ \text{Speed of sound₂₀}$$
Example 3
Convert $120.0\ \text{Speed of sound}$ to $\text{Speed of sound₂₀}$.
$$\text{Speed}_{\text{Speed of sound₂₀}} = 120.0 \cdot 0.9906471256665015588123889164068646$$
$$\text{Speed}_{\text{Speed of sound₂₀}} = 118.877655$$
$$\therefore \ 120.0\ \text{Speed of sound} = 118.877655 \ \text{Speed of sound₂₀}$$
Example 4
Convert $130.0\ \text{Speed of sound}$ to $\text{Speed of sound₂₀}$.
$$\text{Speed}_{\text{Speed of sound₂₀}} = 130.0 \cdot 0.9906471256665015588123889164068646$$
$$\text{Speed}_{\text{Speed of sound₂₀}} = 128.784126$$
$$\therefore \ 130.0\ \text{Speed of sound} = 128.784126 \ \text{Speed of sound₂₀}$$
Example 5
Convert $195.0\ \text{Speed of sound}$ to $\text{Speed of sound₂₀}$.
$$\text{Speed}_{\text{Speed of sound₂₀}} = 195.0 \cdot 0.9906471256665015588123889164068646$$
$$\text{Speed}_{\text{Speed of sound₂₀}} = 193.17619$$
$$\therefore \ 195.0\ \text{Speed of sound} = 193.17619 \ \text{Speed of sound₂₀}$$