Question

Part Cexplain why the above answers are reasonable. include numbers and talk about wind chill, wind and temperature in your explanation.

Answer 1

`\begin{gathered} a)\text{ Wind chill}=-31\text{ degrees Fahrenheit} \\ b)_{}\text{ Wind chill}=33.7\text{ degrees Fahrenheit} \end{gathered}`

Explanation:

Given the equation that represents the feeling of the wind on a cold day, substitute the velocity and temperature respectively.

a) substitute T=-6 and V=23 mi/hr

`\begin{gathered} \text{ Wind chill}=35.74+0.6215T-35.75(V^(0.16))+0.4275T(V^(0.16)) \\ \text{ Wind chill}=35.74+0.6215(-6)-35.75((23)^(0.16))+0.4275T((23)^(0.16)) \\ \text{ Wind chill}=-31\text{ degrees Fahrenheit} \end{gathered}`

b) substitute T=4.8 and v=19 km/hr

Since the equation is given in Fahrenheit and miles per hour, so we need to convert the given values:

`\begin{gathered} \mleft(4.8\degree C*(9)/(5)\mright)+32=40.64\degree F \\ T=40.64\text{ }\degree F \\ v=19\text{ }(km)/(hr) \\ v=\text{ }11.8\text{ }(km)/(hr) \end{gathered}`

Therefore,

`\begin{gathered} \text{ Wind chill}=35.74+0.6215(40.64)-35.75((11.8)^(0.16))+0.4275(40.64)((11.8)^(0.16)) \\ \text{ Wind chill}=33.7\text{ degrees Fahrenheit} \end{gathered}`