body temp calculations

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Miami University *

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468

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Electrical Engineering

Date

Jan 9, 2024

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docx

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2

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KNH 468/568: Body Temperature Increase During Exercise Calculations Show your work and appropriate units for each calculation. 5 points each. 1. Joe (195 pounds) runs at 6 mph for 45 min on a level track. Assuming he is 20% efficient, and can only dissipate 60% of the heat he produces, how much did his body temperature rise during exercise? Assume 5 kcals/L oxygen consumed. VO 2 (ml/kg/min) = 3.5 + (0.2 x speed) + (0.9 x speed x grade) 1 mph = 26.8 m/min Specific heat = 0.83 kcal/kg body mass VO 2 = 3.5 + (0.2 x 160.8 m/min) + (0.9 x 160.8 m/min x 0) VO 2 = 3.5 + (32.16) + (0) VO 2 = 35.66 ml/kg/min x 88.6 kg / 1000 VO 2. = 3.2 L/min Total EE = 45 min x (3.2 L/min x 5 kcals/L) Total EE = 720 kcals Total heat produced = 720 kcals x 0.80 Total heat produced = 576.4 kcals Total heat stored during exercise = 576.4 kcals x 0.40 Total heat stored during exercise = 230.6 kcals Temp stored = 0.83 kcals/kg x 88.6 kg Temp stored = 73.5 kcals Increased body temp = 230.6 kcals / 73.5 kcals/C Increased body temp = 3.14 C 2. Jill (155 pounds) walks at 3.7 mph at 3% grade on a treadmill for 60 min. Assuming she is 21.5% efficient, and can only dissipate 60% of the heat she produces, how much did her body temperature rise during exercise? Assume 5 kcals/L oxygen consumed. VO 2 (ml/kg/min) = 3.5 + (0.1 x speed) + (1.8 x speed x grade) 1 mph = 26.8 m/min Specific heat = 0.83 kcal/kg body mass VO 2 = 3.5 + (0.1 x 99.16 m/min) + (1.8 x 99.16 m/min x 0.03) VO 2 = 3.5 + (9.92) + (5.35) VO 2 = 18.77 ml/kg/min x 70.45 kg / 1000 VO 2. = 1.32 L/min Total EE = 60 min x (1.32 L/min x 5 kcals/L) Total EE = 396 kcals
Total heat produced = 396 kcals x 0.785 Total heat produced = 310.86 kcals Total heat stored during exercise = 310.86 kcals x 0.40 Total heat stored during exercise = 124.34 kcals Temp stored = 0.83 kcals/kg x 70.45 kg Temp stored = 58.47 kcals Increased body temp = 124.34 kcals / 58.47 kcals/C Increased body temp = 2.12 C
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