trying to figure out hypothetical torque on a rider that can produce 2000 watts in a 53x11!
Can anyone help?
Imagine the rider as a sphere…sorry, that is all I got from my physics classes. Unless you want to talk non-classical physics? In that case I may be able to tell you the rider’s speed OR location (but not both).
Gearing is irrelevant. Power can be computed as torque*angular velocity. You have the value for power (2000W): the torque depends on the cadence. High cadence → low torque, low cadence → high torque.
ok, how about at 145 rpm, what would the torque be?
~132Nm. I think.
ok, how about at 145 rpm, what would the torque be?
2000 * (1/145 * 2pi ) * 60 = 131 N m (avg)
which would be about 169 lbs of force (avg) into 175mm cranks.
I think that’s the right maths and units.
yep…
torque = power/rpm x 60,000/2pi
Well, to give it an eulerian bent, you’ve given us one equation with two unknowns. We can have a lot of fun with this, sincew there are limitless correct answers to this.
Heck I can even make it imaginary…
Say that my torque is 31.62 + 31.627i
and my angular velocity is 31.62 - 31.62i
then my torque x angular velocity is 2000W
Now, if only I can find my imaginary torque =P
(feel free to check my math, i don’t use imaginary numbers at all!)
Don’t forget that would also be the average torque and would assume the rider pedals in perfect circles, which is not the case.
Well, to give it an eulerian bent, you’ve given us one equation with two unknowns. We can have a lot of fun with this, sincew there are limitless correct answers to this.
Heck I can even make it imaginary…
Say that my torque is 31.62 + 31.627i
and my angular velocity is 31.62 - 31.62i
then my torque x angular velocity is 2000W
Now, if only I can find my imaginary torque =P
(feel free to check my math, i don’t use imaginary numbers at all!)
LOL, from a fellow math geek.
As a fellow math nerd (strictly amateur !) I wonder if there are any rough guesstimates out there for wattage in real world terms to compare perfect circles and typical “stomp” patterns of pedalling ?
That’s a Physics question, not Maths!
bahahahhaahha 
.
Well, to give it an eulerian bent, you’ve given us one equation with two unknowns. We can have a lot of fun with this, sincew there are limitless correct answers to this.
Heck I can even make it imaginary…
Say that my torque is 31.62 + 31.627i
and my angular velocity is 31.62 - 31.62i
then my torque x angular velocity is 2000W
Now, if only I can find my imaginary torque =P
(feel free to check my math, i don’t use imaginary numbers at all!)
LOL, from a fellow math geek.
Just to prove that I learned something in college, real math geeks don’t work with imaginary numbers … they work with complex numbers. If you want to send a math prof tailspinning into nervous breakdown, keep referring to them as imaginary numbers. I’ve seen them nearly at the point of tantrum. Hilarity for the class, therapy for the prof.