Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. One form of the formula that meteorologists use to calculate wind chill temperature is , where s is wind speed and t is the actual air temperature. Find when the temperature is and the wind speed is 40 mph. Round your answer to two decimal places.

Question

Dr. Paul Siple conducted studies testing the effect of wind on the formation of ice at various temperatures and developed the concept of wind chill, which we hear reported during winter weather reports. One form of the formula that meteorologists use to calculate wind chill temperature is  , where s is wind speed and t is the actual air temperature. Find  when the temperature is  and the wind speed is 40 mph. Round your answer to two decimal places. ​

Quizplus · Accepted Answer

Using the formula provided,

11eb0d3b_98b5_6be2_9790_47b2476a4d69_TB1243_11 = 35.74 + 0.6215(11eb0d3b_98b5_6be3_9790_93739f1ae372_TB1243_11) - 35.75(40^0.16) + 0.4275(11eb0d3b_98b5_6be3_9790_93739f1ae372_TB1243_11)(40^0.16)

Plugging in the values for temperature and wind speed,

11eb0d3b_98b5_6be2_9790_47b2476a4d69_TB1243_11 = 35.74 + 0.6215(10) - 35.75(40^0.16) + 0.4275(10)(40^0.16)

11eb0d3b_98b5_6be2_9790_47b2476a4d69_TB1243_11 ≈ 11eb0d3b_98b5_6be6_9790_6d14ee062bce_TB1243_11 ≈ -5.85

Rounding to two decimal places, the answer is approximately -5.85. Thus, the best answer is C.

Dr Paul Siple Conducted Studies Testing the Effect of Wind