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?

Respuesta :

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 = [tex]\frac{100}{10}=10[/tex] calories consume  

Now, in 1 hour = 60 minutes  

So, In 60 min = [tex]{10}\times{60}=600[/tex] calories consume.

The conversion S.I unit is  [tex]4.18\times10^3 J/cal[/tex]

Energy 600 cal =  [tex]600 cal\times4.18\times10^3 J/cal= 2.508\times 10^6J[/tex]

Time taken 1 hour = 3600 seconds

Average power =[tex]\frac{\text{Energy}}{\text{Time taken}}[/tex]

Average Power =[tex]\frac{(2.508\times 10^6 J)}{3600 s}[/tex]  

Average Power = 697 watts