Ask Question
10 May, 01:14

Assume running consumes 107 Calories per mile. If you run 11 -minute miles, what is your average power output, in watts, during a 11 -hour run

+3
Answers (1)
  1. 10 May, 03:09
    0
    Note that 1 cal = 4.184 J

    1 W = 1 J/s

    The given calorie consumption rate is

    107 cal/mi

    In running 11-minute miles, the energy expenditure rate is

    (107 cal/mi) * (1 mi/11 min) = 107/11 cal/min = 9.7293 ca/min

    = (9.7293 cal/min) * (1 min/60 s)

    = 0.1622 cal/s

    Because 1 cal = 4.184 J, the energy expenditure rate is

    (0.1622 cal/s) * (4.184 J) = 0.6786 J/s

    = 0.6786 W

    In an 11-hour run, the total time is

    (11 h) * (3600 s/h) = 39600 s

    Total work done is (0.6786 J/s) * (39600 s) = 26873 J = 26.873 kJ

    Answer:

    Average power output = 0.6786 W

    Total work or energy = 26.87 kJ (nearest hundredth)
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Assume running consumes 107 Calories per mile. If you run 11 -minute miles, what is your average power output, in watts, during a 11 -hour ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers