Assume running consumes 100 calories per mile. If you run 10-minute miles, what is your average power output, in watts, during a 1 hour run?
Answer:
Average Power = 697 watts
Step-by-step explanation:
Given : 100 Calories used in 1 mile and you run in 10 minute
miles
To find : What is your average power output, in watts, during a 1 hour run
Solution : In 10 minutes 100 calories consumes per mile
So, In 1 min = \(\frac{100}{10}=10\) calories consume
Now, in 1 hour = 60 minutes
So, In 60 min = \({10}\times{60}=600\) calories consume.
The conversion S.I unit is \(4.18\times10^3 J/cal\)
Energy 600 cal = \(600 cal\times4.18\times10^3 J/cal= 2.508\times 10^6J\)
Time taken 1 hour = 3600 seconds
Average power =\(\frac{\text{Energy}}{\text{Time taken}}\)
Average Power =\(\frac{(2.508\times 10^6 J)}{3600 s}\)
Average Power = 697 watts