To calculate the felt air temperature:
\[ T_f = T_a - \left( \frac{(10 \cdot \sqrt{v} - v + 10.5) \cdot (33 - T_a)}{23} \right) \]
Where:
Felt air temperature, also known as wind chill or apparent temperature, measures how cold it feels to the human body when the wind is factored in. It accounts for the heat loss from exposed skin due to wind, which increases the rate at which heat is carried away from the body. The felt air temperature is usually lower than the actual air temperature because the wind makes it feel colder. This metric is crucial for understanding human comfort and safety in cold weather conditions.
Assume the following values:
**Step 1:** Calculate the wind speed factor:
\[ 10 \cdot \sqrt{10} - 10 + 10.5 = 31.62 - 10 + 10.5 = 32.12 \]
**Step 2:** Calculate the felt air temperature:
\[ T_f = 5 - \left( \frac{32.12 \cdot (33 - 5)}{23} \right) = 5 - \left( \frac{32.12 \cdot 28}{23} \right) = 5 - 39.11 = -32.11 \]
The Felt Air Temperature is -32.11 °C.
Assume the following values:
**Step 1:** Calculate the wind speed factor:
\[ 10 \cdot \sqrt{5} - 5 + 10.5 = 22.36 - 5 + 10.5 = 27.86 \]
**Step 2:** Calculate the felt air temperature:
\[ T_f = 0 - \left( \frac{27.86 \cdot (33 - 0)}{23} \right) = 0 - \left( \frac{27.86 \cdot 33}{23} \right) = 0 - 39.97 = -39.97 \]
The Felt Air Temperature is -40.44 °C.
