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?

Verified Answer :

Jiinkz

Average power would be 697 watts

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