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 hr. It is given by HI == 42+2T+10h - 0.22Thr - 1.99T2 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%?

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter38: Achievement Review—section Three
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The heat index (HI) is an estimate of the temperature felt by the human body based on the actual measured air temperature T (in 0F) and relative humidity hr. It is given by HI =−42+2T +10hr −0.22Thr −1.99T2hr2.

  1. If the air temperature in your area is 1070F with a relative humidity of 8%, how hot does your body feel? 

  2. If the air temperature and relative humidity is known to be increasing at a rate of 20F 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 1070F with a relative humidity of 8%?

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 + 2T + 10h, – 0.22TH, – 1.99T?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%?
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 + 2T + 10h, – 0.22TH, – 1.99T?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%?
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