safe said:I'm hoping that someone will check my math and find that I've made some sort of gross error. The big point here is that if you want to get the necessary braking force to skid the tires (a full 1G's worth of braking energy) and you have a 125 kg bike and rider combination then it appears that you need to produce 8 horsepower's worth of braking. (6250 watts)
8 horsepower is a lot!!!
Hopefully someone can redo the math and find I'm totally wrong on this...
OK. I use the energy approach.
Energy E = 1/2 m (V*V)
= 1/2* 125 (10*10) = 6250 jouls
To stop this ebike in 1 second, the power required is E/t
= 6250 J/s = 6250 watts
To stop this ebike in 4.2 seconds, the power required
=6250/4.2 = 1490 watts
If you use an power of 1490 watts to accelerate the ebike from 0 m/s to 10 m/s, it will take 4.2 second.
The energy approach answer is consistant with your SAFE answer.