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Doubling your speed requires xpower cubed....End of story.
Think about what is being said...
Exerting four times the force over a fixed distance produces four times as much work.
The distance is not fixed...
The distance is the variable in the work calculation...In this case, how many miles is covered in x amount of time. This is how we measure speed.
At twice the speed, you are covering TWICE as much distance over the same time frame, right?
And the last sentence...
Since power is the rate of doing work, four times the work done in half the time requires eight times the power.
Again, this does not add up go me.
Rate means time, correct? The rate at which you do work. Think about it.
Where does "half the time" come from?
Obviously from the "fixed distance" comment...
Again, the time frame in these calculations is based on the speed measurement, and since speed is a product of time and distance , you are not doing 4 times the work in half the time...you are doing 4 times the work in the SAME amount of time. And the timing in question is one hour.
Make sense?
It does to me!
If I'm wrong, and I very well could be, someone please explain it better to me!?
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