An elite runner burns 1000 Calories (4,180,000 J) in one hour. How much power does this correspond to?
one hour = 3600 seconds
so
4180/3.6 Joules/second which is watts
Well, if we assume that the elite runner is exceptionally fit and has the power of "a thousand suns," then we can calculate the power! So, at 1000 Calories per hour, this elite runner has the astounding power of "you better not stand in the way."
To calculate the power expended by the elite runner, you can use the formula:
Power = Energy / Time
Given that the runner burns 1000 Calories (4,180,000 J) in one hour, the power can be calculated as:
Power = 4,180,000 J / 3600 s
Converting the time from hours to seconds (1 hour = 3600 seconds), we find:
Power = 1161.11 W
Therefore, the elite runner expends approximately 1161.11 Watts of power.
To determine the power output, we can use the equation:
Power (P) = Energy (E) / Time (t)
Given:
Energy = 4,180,000 J
Time = 1 hour
First, we need to convert the time from hours to seconds:
1 hour = 60 minutes * 60 seconds = 3600 seconds
Now we can calculate the power:
P = 4,180,000 J / 3600 seconds
P ≈ 1161.11 Joules/second
Therefore, an elite runner burns approximately 1161.11 watts of power.