Wind Chill worksheet

1. Wind chill: -12.5 °C

1. Raise the wind speed (km/h) to the power 0.16. This makes the first few km/h of wind count most

   ${26}^{0.16}$$=1.684208$

2. Put the temperature (T, in °C) and that wind factor into the 2001 wind chill formula

   $13.12+0.6215\times \left(\mathrm{-5}\right)-11.37\times 1.684208+0.3965\times \left(\mathrm{-5}\right)\times 1.684208$$=\mathrm{-12.475888}$

3. Change to Fahrenheit for comparison: multiply by 9 ÷ 5, then add 32

   $\mathrm{-12.475888}\times 1.8+32$$=9.543402$

2. Wind chill: -10.3 °C

1. Raise the wind speed (km/h) to the power 0.16. This makes the first few km/h of wind count most

   ${20}^{0.16}$$=1.614971$

2. Put the temperature (T, in °C) and that wind factor into the 2001 wind chill formula

   $13.12+0.6215\times \left(\mathrm{-4}\right)-11.37\times 1.614971+0.3965\times \left(\mathrm{-4}\right)\times 1.614971$$=\mathrm{-10.289568}$

3. Change to Fahrenheit for comparison: multiply by 9 ÷ 5, then add 32

   $\mathrm{-10.289568}\times 1.8+32$$=13.478778$

3. Wind chill: 3.2 °F

1. Raise the wind speed (mph) to the power 0.16. This makes the first few mph of wind count most

   ${16}^{0.16}$$=1.558329$

2. Put the temperature (T, in °F) and that wind factor into the 2001 wind chill formula

   $35.74+0.6215\times 18-35.75\times 1.558329+0.4275\times 18\times 1.558329$$=3.208075$

3. Change to Celsius for comparison: subtract 32, then multiply by 5 ÷ 9

   $3.208075-32\times 0.555556$$=\mathrm{-15.995514}$

4. Wind chill: 10.2 °F

1. Raise the wind speed (mph) to the power 0.16. This makes the first few mph of wind count most

   ${18}^{0.16}$$=1.587975$

2. Put the temperature (T, in °F) and that wind factor into the 2001 wind chill formula

   $35.74+0.6215\times 24-35.75\times 1.587975+0.4275\times 24\times 1.587975$$=10.178523$

3. Change to Celsius for comparison: subtract 32, then multiply by 5 ÷ 9

   $10.178523-32\times 0.555556$$=\mathrm{-12.123043}$

5. Wind chill: 4.6 °F

1. Raise the wind speed (mph) to the power 0.16. This makes the first few mph of wind count most

   ${13}^{0.16}$$=1.507408$

2. Put the temperature (T, in °F) and that wind factor into the 2001 wind chill formula

   $35.74+0.6215\times 18-35.75\times 1.507408+0.4275\times 18\times 1.507408$$=4.636657$

3. Change to Celsius for comparison: subtract 32, then multiply by 5 ÷ 9

   $4.636657-32\times 0.555556$$=\mathrm{-15.201857}$

6. Wind chill: -0.2 °F

1. Raise the wind speed (mph) to the power 0.16. This makes the first few mph of wind count most

   ${18}^{0.16}$$=1.587975$

2. Put the temperature (T, in °F) and that wind factor into the 2001 wind chill formula

   $35.74+0.6215\times 16-35.75\times 1.587975+0.4275\times 16\times 1.587975$$=\mathrm{-0.224351}$

3. Change to Celsius for comparison: subtract 32, then multiply by 5 ÷ 9

   $\mathrm{-0.224351}-32\times 0.555556$$=\mathrm{-17.902417}$

7. Wind chill: 14.1 °F

1. Raise the wind speed (mph) to the power 0.16. This makes the first few mph of wind count most

   ${22}^{0.16}$$=1.639788$

2. Put the temperature (T, in °F) and that wind factor into the 2001 wind chill formula

   $35.74+0.6215\times 28-35.75\times 1.639788+0.4275\times 28\times 1.639788$$=14.147848$

3. Change to Celsius for comparison: subtract 32, then multiply by 5 ÷ 9

   $14.147848-32\times 0.555556$$=\mathrm{-9.917862}$

8. Wind chill: 10.9 °F

1. Raise the wind speed (mph) to the power 0.16. This makes the first few mph of wind count most

   ${16}^{0.16}$$=1.558329$

2. Put the temperature (T, in °F) and that wind factor into the 2001 wind chill formula

   $35.74+0.6215\times 24-35.75\times 1.558329+0.4275\times 24\times 1.558329$$=10.93419$

3. Change to Celsius for comparison: subtract 32, then multiply by 5 ÷ 9

   $10.93419-32\times 0.555556$$=\mathrm{-11.703228}$

9. Wind chill: -11.6 °C

1. Raise the wind speed (km/h) to the power 0.16. This makes the first few km/h of wind count most

   ${20}^{0.16}$$=1.614971$

2. Put the temperature (T, in °C) and that wind factor into the 2001 wind chill formula

   $13.12+0.6215\times \left(\mathrm{-5}\right)-11.37\times 1.614971+0.3965\times \left(\mathrm{-5}\right)\times 1.614971$$=\mathrm{-11.551404}$

3. Change to Fahrenheit for comparison: multiply by 9 ÷ 5, then add 32

   $\mathrm{-11.551404}\times 1.8+32$$=11.207473$

10. Wind chill: -11.2 °C

1. Raise the wind speed (km/h) to the power 0.16. This makes the first few km/h of wind count most

   ${18}^{0.16}$$=1.587975$

2. Put the temperature (T, in °C) and that wind factor into the 2001 wind chill formula

   $13.12+0.6215\times \left(\mathrm{-5}\right)-11.37\times 1.587975+0.3965\times \left(\mathrm{-5}\right)\times 1.587975$$=\mathrm{-11.190933}$

3. Change to Fahrenheit for comparison: multiply by 9 ÷ 5, then add 32

   $\mathrm{-11.190933}\times 1.8+32$$=11.85632$