South Pole 300 Club On a day in the South Pole when the temperature drops down t
ID: 1863125 • Letter: S
Question
South Pole 300 Club
On a day in the South Pole when the temperature drops down to ?100F a group of people will huddle up in a sauna set to +200F and soak up as much heat as they can. When they have taken all they can bare, the group of them walk, nude, to and around the South Pole marker that is just about 100 yards away. Considering only heat lost by convection and metabolic energy made, determine how quickly these people must return to the sauna if they are to have:
(a) No damage (final body temperature of 37C)
(b) Mild hypothermia (final body temperature of 35C)
(c) Moderate hypothermia (final body temperature of 32C) (d) Sever Damage (final body temperature of <32C)
Use this equation to determine your times:
Tb(t)=(Tb, init -T out -W/h*A)e^-(h*A/mC)t+T out+W/h*A
Also note:
h= 5.7 + 3.8Vw (W/m^2? C)
W= 66 +(13.7 ? m)+(5 ? l)-(6.8 ? age),( weight in kg,height in cm,age in years)
GIVENS
SYMBOL
V ALUES
Weight (kg, g)
m
70
70,000
Height/length (m, cm)
l
1.75
175
Age (years)
age
35
-
Gender
male
-
Surface Area (m^2)
A
1.7
-
Specific Heat (J/gC)
C
4.18
-
Outside Temp (F, C, K)
TO
-100
-73.33
199.816 7
Initial Body Temp (F, C, K)
Tbi
110
43.33
316.483
Wind Velocity (m/s)
Vw
5
-
Normal Body Temp (F, C, K)
TN
98.6
37
310.15
Mild Damage Temp (F, C, K)
Tmild
95
35
308.15
Moderate Damage Temp (F, C, K)
Tmod
89.6
32
305.15
Sever Damage Temp (F, C, K)
Tsev
<89.6
<32
<305.15
Distance (yards)
d
200
*BONUS Derive this differential equation, knowing that:
dQ/dt (convection)=-h*A(T body(t)-T out)...........
points guaranted for any work you show thank you
GIVENS
SYMBOL
V ALUES
Weight (kg, g)
m
70
70,000
Height/length (m, cm)
l
1.75
175
Age (years)
age
35
-
Gender
male
-
Surface Area (m^2)
A
1.7
-
Specific Heat (J/gC)
C
4.18
-
Outside Temp (F, C, K)
TO
-100
-73.33
199.816 7
Initial Body Temp (F, C, K)
Tbi
110
43.33
316.483
Wind Velocity (m/s)
Vw
5
-
Normal Body Temp (F, C, K)
TN
98.6
37
310.15
Mild Damage Temp (F, C, K)
Tmild
95
35
308.15
Moderate Damage Temp (F, C, K)
Tmod
89.6
32
305.15
Sever Damage Temp (F, C, K)
Tsev
<89.6
<32
<305.15
Distance (yards)
d
200
On a day in the South Pole when the temperature drops down to ?100 degree F a group of people will huddle up in a sauna set to +200 degree F and soak up as much heat as they can. When they have taken all they can bare, the group of them walk, nude, to and around the South Pole marker that is just about 100 yards away. Considering only heat lost by convection and metabolic energy made, determine how quickly these people must return to the sauna if they are to have: No damage (final body temperature of 37 degree C) Mild hypothermia (final body temperature of 35 degree C) Moderate hypothermia (final body temperature of 32 degree C) (d) Sever Damage (final body temperature ofExplanation / Answer
South Pole 300 Club On a day in the South Pole when the temperature drops down t
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