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The heat index (HI) is an estimate of the temperature felt by the human body based on the uctual measured air temperature T (in °F) and relative humidity h,. It is given by HI =– 42.379 + 2.049015237' + 10.14333127h, – 0.22475541Th, – (6.83783 x 10 ³)7² - (5.481717 x 10-2)h,² + (1.22874 × 10-*)7®h, + (8.5282 - 10-*)Th,? - (1.99 x 10 “y7®h,? a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does your body feel? b. If the air temperature and relative humidity is known to be increasing at a rate of 2°F per sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 107°F with a relative humidity of 8%?

The heat index (HI) is an estimate of the temperature felt by the human body based on the uctual measured air temperature T (in °F) and relative humidity h,. It is given by HI =– 42.379 + 2.049015237' + 10.14333127h, – 0.22475541Th, – (6.83783 x 10 ³)7² - (5.481717 x 10-2)h,² + (1.22874 × 10-*)7®h, + (8.5282 - 10-*)Th,? - (1.99 x 10 “y7®h,? a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does your body feel? b. If the air temperature and relative humidity is known to be increasing at a rate of 2°F per sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 107°F with a relative humidity of 8%?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Please write the step-by-step solution following the formula:

dHI/dt = dHI/dT x dT/dt +dHI/dhr x dhr/dt

The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in °F) and relative humidity h,. It is given by HI =– 42.379 + 2.049015237 + 10.14333127h, – 0.22475541Th, – (6.83783 x 10*)7² - (5.481717 x 10-2)h,² + (1.22874 × 10 *)7®h, + (8.5282 - 10-4)Th,² - (1.99 x 10 ")7®h,². a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does your body feel? b. If the air temperature and relative humidity is known to be increasing at a rate of 2°F per sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 107°F with a relative humidity of 8%?
Transcribed Image Text:The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in °F) and relative humidity h,. It is given by HI =– 42.379 + 2.049015237 + 10.14333127h, – 0.22475541Th, – (6.83783 x 10*)7² - (5.481717 x 10-2)h,² + (1.22874 × 10 *)7®h, + (8.5282 - 10-4)Th,² - (1.99 x 10 ")7®h,². a. If the air temperature in your area is 107°F with a relative humidity of 8%, how hot does your body feel? b. If the air temperature and relative humidity is known to be increasing at a rate of 2°F per sec and 1% per sec, resp., how fast is the heat index changing at the moment when the air temperature in your area is 107°F with a relative humidity of 8%?
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