Studdy AI Logo
Math

QuestionCalculate the windchill temperature difference at 10∘F10^{\circ} \mathrm{F} for wind speeds of 5 mph and 25 mph.

Studdy Solution

STEP 1

Assumptions1. We are using the windchill temperature index chart provided by the National Weather Service. . The actual air temperature is 10∘10^{\circ} \mathrm{}.
3. We are comparing the perceived temperatures at wind speeds of5 miles per hour and25 miles per hour.

STEP 2

First, we need to find the perceived temperature at a wind speed of5 miles per hour. According to the windchill temperature index chart, when the actual temperature is 10∘10^{\circ} \mathrm{} and the wind speed is5 miles per hour, the perceived temperature is 6∘6^{\circ} \mathrm{}.
Perceived temperature at 5 mph=6∘Perceived\, temperature\, at\,5\, mph =6^{\circ} \mathrm{}

STEP 3

Next, we need to find the perceived temperature at a wind speed of25 miles per hour. According to the windchill temperature index chart, when the actual temperature is 10∘10^{\circ} \mathrm{} and the wind speed is25 miles per hour, the perceived temperature is −9∘-9^{\circ} \mathrm{}.
Perceived temperature at 25 mph=−9∘Perceived\, temperature\, at\,25\, mph = -9^{\circ} \mathrm{}

STEP 4

Now that we have the perceived temperatures at both wind speeds, we can find the difference in perceived temperature by subtracting the perceived temperature at25 miles per hour from the perceived temperature at miles per hour.
Difference in perceived temperature=Perceived temperature at  mph−Perceived temperature at 25 mphDifference\, in\, perceived\, temperature = Perceived\, temperature\, at\,\, mph - Perceived\, temperature\, at\,25\, mph

STEP 5

Plug in the values for the perceived temperatures at5 miles per hour and25 miles per hour to calculate the difference in perceived temperature.
Difference in perceived temperature=∘−(−9∘)Difference\, in\, perceived\, temperature =^{\circ} \mathrm{} - (-9^{\circ} \mathrm{})

STEP 6

Calculate the difference in perceived temperature.
Difference in perceived temperature=6∘−(−9∘)=15∘Difference\, in\, perceived\, temperature =6^{\circ} \mathrm{} - (-9^{\circ} \mathrm{}) =15^{\circ} \mathrm{}The difference in perceived temperature when the wind speed is5 miles per hour and25 miles per hour, given that the actual air temperature is 10∘10^{\circ} \mathrm{}, is 15∘15^{\circ} \mathrm{}.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord