The National Weather Service uses the following formula to calculate the wind chill: W = 35.74 + 0.6215 Ta − 35.75 V 0.16 + 0.4275 Ta V 0.16 where W is the wind chill temperature in ◦F, Ta is the air temperature in ◦F, and V is the wind speed in miles per hour. Note that W is defined only for air temperatures at or lower than 50◦F and wind speeds above 3 miles per hour. (a) Suppose the air temperature is 42◦ and the wind speed is 7 miles per hour. Find the wind chill temperature. Round your answer to two decimal places. (b) Suppose the air temperature is 37◦F and the wind chill temperature is 30◦F. Find the wind speed. Round your answer to two decimal places.
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The National Weather Service uses the following formula to calculate the wind chill:
W = 35.74 + 0.6215 Ta − 35.75 V
0.16 + 0.4275 Ta V
0.16
where W is the wind chill temperature in ◦F, Ta is the air temperature in ◦F, and V is the
wind speed in miles per hour. Note that W is defined only for air temperatures at or lower
than 50◦F and wind speeds above 3 miles per hour.
(a) Suppose the air temperature is 42◦ and the wind speed is 7 miles per hour. Find the
wind chill temperature. Round your answer to two decimal places.
(b) Suppose the air temperature is 37◦F and the wind chill temperature is 30◦F. Find the
wind speed. Round your answer to two decimal places.
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