(a)  Calculate the heat heat, in joules, transferred by conduction into the sole of one foot of a firewalker, given that the bottom of the foot is a 2.9-mm-thick callus, with a conductivity at the lowest end of the range for wood and with a density of 295 kg/m3. The area of contact is 23 cm2, the temperature of the coals is 700°C, and the time in contact is 1.05 s. The firewalker’s body temperature is 37°C.  (b) What temperature increase, in degrees Celsius, is produced in the 23 cm3 of tissue affected? The specific heat of human tissue is typically 3500 J/(kg⋅°C).

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Chapter1: Units, Trigonometry. And Vectors
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(a)  Calculate the heat heat, in joules, transferred by conduction into the sole of one foot of a firewalker, given that the bottom of the foot is a 2.9-mm-thick callus, with a conductivity at the lowest end of the range for wood and with a density of 295 kg/m3. The area of contact is 23 cm2, the temperature of the coals is 700°C, and the time in contact is 1.05 s. The firewalker’s body temperature is 37°C. 

(b) What temperature increase, in degrees Celsius, is produced in the 23 cm3 of tissue affected? The specific heat of human tissue is typically 3500 J/(kg⋅°C). 

(9%) Problem 10: A fire walker runs across a bed of hot coals without sustaining burns. In this
problem, you may assume the body temperature of a human is a constant 37.0°C.
Transcribed Image Text:(9%) Problem 10: A fire walker runs across a bed of hot coals without sustaining burns. In this problem, you may assume the body temperature of a human is a constant 37.0°C.
Thermal conductivity k
(J/s•m C)
Substance
Glass wool
0.042
0.04
Wool
Glass
0.84
Human body
0.2
Ceramic
0.84
Wood
0.08-0.16
Air
0.023
Fatty tissue
Styrofoam
0.2
0.010
Transcribed Image Text:Thermal conductivity k (J/s•m C) Substance Glass wool 0.042 0.04 Wool Glass 0.84 Human body 0.2 Ceramic 0.84 Wood 0.08-0.16 Air 0.023 Fatty tissue Styrofoam 0.2 0.010
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