DYNO Numbers for Baggers???
So here's your "proof of theory":
The force which will be balanced by the bike's peak horse-power (gearing setup is set for top end speed matching peak hp) is,...
F = 1/2*CdA*p*v^2 + CrW ,... where,
Cd = Coefficient of drag for the bike.
Cr = Coefficient of rolling resistance for bike.
p = Density of air,.. A = Cross sectional area of the bike,...W = Weight of the bike,...v = Velocity.
As you can see, the first term which involves air drag, increases as the square of the velocity, while the second term involving weight is independent of velocity.
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Incidentally, the hp required to go a certain velocity is,... hp = F*v/550
Also since air drag is the largest factor here, the condition of that air makes a significant difference, probably more so than the weight at high speed. The air density above (p) can be estimated as follows;
p = P/(T*R) ,... where,
P = air pressure (surrounding air not tire pressure, although tire pressure is a variable on rolling resistance)
T = temperature
R = gas constant (1718 ft-lb/slug)
But the equation doesn't tell the whole story when it comes to bikes, weight and terminal velocity. The reason being that generally a heavier bike is also going to have a higher coefficient of drag because if a bike is heavier it also has a higher x-section. The x-section is generally larger due to a larger rider , larger front x-section or both. So separating out the impact of aerodynamics from weight in their impact on terminal velocity is nearly impossible without a windtunnel.
SO....
If Bike A has 100 HP and weighs 1000 lbs. - Power to weight = .1hp/lb.
If Bike B has 100hp and weighs 500 lbs. - Power to weight = .2hp/lb.
Bike 'B' will only be slightly faster than Bike 'A', (talking about terminal velocity) and this, only because of the added friction from the drag on the tires, bearings, sprockets etc. assuming bike A & B have the same Cd even with a heavier rider or bike or both.
Granted, the impact of weight is far less than the Co-efficient of drag but it is a variable. And in the bike world, higher weight almost always means a larger x-section (Cd) of both the bike and the rider.
The theoretical answer is that the heavier bike will have a slightly lower terminal velocity (1-2mph) with the same hp when you are in the 120mph range. But the practical world answer is that the terminal velocity of a 2x heavier bike could be far less than a lighter bike if the Cd of the heavier bike and rider is significantly larger than the lighter bike. In the real world case, the combination of additional weight plus higher Cd could reduce terminal velocity by 2-5 mph in the 120mph range with the same 100hp.
Are you sure you graduated High School?
SO....
If Bike A has 100 HP and weighs 1000 lbs. - Power to weight = .1hp/lb.
If Bike B has 100hp and weighs 500 lbs. - Power to weight = .2hp/lb.
Bike 'B' will only be slightly faster than Bike 'A', (talking about terminal velocity) and this, only because of the added friction from the drag on the tires, bearings, sprockets etc. assuming bike A & B have the same Cd even with a heavier rider or bike or both.
Granted, the impact of weight is far less than the Co-efficient of drag but it is a variable. And in the bike world, higher weight almost always means a larger x-section (Cd) of both the bike and the rider.
The theoretical answer is that the heavier bike will have a slightly lower terminal velocity (1-2mph) with the same hp when you are in the 120mph range. But the practical world answer is that the terminal velocity of a 2x heavier bike could be far less than a lighter bike if the Cd of the heavier bike and rider is significantly larger than the lighter bike. In the real world case, the combination of additional weight plus higher Cd could reduce terminal velocity by 2-5 mph in the 120mph range with the same 100hp.
Are you sure you graduated High School?
And a heavier rider in full tuck may have no difference in cross area AND doesn't mean airflow past the windshield is negatively effected. Also a heavier rider may lower the bike, decreasing drag as well.
You're grasping at straws because the Cr is so minimal with a heavier rider on an identical bike that it will make virtually no difference. A 150lb rider vs. a 200lb rider will have the same top speed. 300lb rider if the same cross section won't have any appreciable difference.
Your "real world" example of 2-5mph is ridiculous because you're comparing two different bikes.
Bottom line identical bikes one rider heavier than the other is going to have a top speed differential that is insignificant for comparison purposes.
Let's use cars, an area I'm an authority on, for your ridiculous 1,000lb differentials. It's aero, gearing and hp that makes the difference, Cr is MINIMAL.
Like a C6Z and E60 M5. The Vette weighs 1,000lbs less. Yet the BMW, due to the vastly more significant factors, has a higher top end.
Or a ZR1 vs. a Bently Super Sport. Roughly the same hp? 1,500lb+ difference? Basically the same top speed.
Weight differential for the same bike is meaningless for this discussion.
Last edited by Deuuuce; Oct 5, 2011 at 10:14 AM.
I don't bother with guys making idle threats about racing over the internet. I say it like I see it. Sometimes guys like you prefer having hot air blown up their skirt, instead of hearing the facts. Typically guys that can't handle the facts, immediately turn to personal attacks like you just did. In the end those personal attacks are irrelevant to the facts.
Sounds like someone has their own envy issues but don't expect me to come down to that level. When you show me a GPS reading at 120+ out of that stock 88 and stock heads, I'll gladly apologize for doubting you. Until then, your claim is simply another unproven internet brag without substance. Something I don't do...I'm only interested in the facts when it comes to dealing with anonymous forum posters (or even imposters).

Ok.... I guess there are natives in New Guniea that think the world is flat too! They probably can't be convinced that we live on a globe either. Time to move on when the natives prefer to believe they live in a flat world.
Last edited by Heatwave; Oct 5, 2011 at 11:28 AM.
Ok.... I guess there are natives in New Guniea that think the world is flat too! They probably can't be convinced that we live on a globe either. Time to move on when the natives prefer to believe they live in a flat world.
And a heavier rider in full tuck may have no difference in cross area AND doesn't mean airflow past the windshield is negatively effected. Also a heavier rider may lower the bike, decreasing drag as well.
You're grasping at straws because the Cr is so minimal with a heavier rider on an identical bike that it will make virtually no difference. A 150lb rider vs. a 200lb rider will have the same top speed. 300lb rider if the same cross section won't have any appreciable difference.
Your "real world" example of 2-5mph is ridiculous because you're comparing two different bikes.
Bottom line identical bikes one rider heavier than the other is going to have a top speed differential that is insignificant for comparison purposes.
Let's use cars, an area I'm an authority on, for your ridiculous 1,000lb differentials. It's aero, gearing and hp that makes the difference, Cr is MINIMAL.
Like a C6Z and E60 M5. The Vette weighs 1,000lbs less. Yet the BMW, due to the vastly more significant factors, has a higher top end.
Or a ZR1 vs. a Bently Super Sport. Roughly the same hp? 1,500lb+ difference? Basically the same top speed.
Weight differential for the same bike is meaningless for this discussion.
What part of the "proof of theory" that you specifically requested are you struggling with? Let me break it down more simply for you. Terminal velocity of a motorcycle is determined when the force of the engine equals 2 variables in the algorithym I shared earlier. The 1st variable is exponential in its impact and related to air resistance. The 2nd variable in the formula is linear and related to rolling resistance.
I focused on the 2nd variable since that's what you asked for. Rolling resistance is directly related to weight (among other things). A bike/rider that weighs 2 or 3x more than another bike/rider will absolutely have a meaningful, measureable and impactful difference on the terminal speed of a motorcycle. I shared with you the math and the difference when bikes of significantly different weights with the same hp are having their terminal speeds compared.
Assuming you could make the Cd of an Ultra and a Dyna the same, and then run the Dyna with 100hp and a single rider to terminal velocity, it would reach a final higher speed (by several mph) when compared with an Ultra with 100hp being ridden 2-up to its top speed. Its just simple physics and math but don't yell at me, go back and complain to your HS physics teacher for not making the principles clearer to you.
The fact that you prefer to ignore the math is something I can't address for you, just like I can't help the guy that prefers to think the world is flat. Everyone has the right to "believe" what they want, but physics and facts have nothing to do with "beliefs". Enjoy your terminal velocity riding ...whatever you might "believe" it is
Last edited by Heatwave; Oct 5, 2011 at 11:19 AM.
A 1000lb bike riding 2-up with 100hp is simply not going to reach the same terminal velocity as a 450lb bike with a single rider and a 100hp. I'm sorry but that's a simple fact of of the world we live in...or at least that I live in
Last edited by Heatwave; Oct 5, 2011 at 11:30 AM.
The Best of Harley-Davidson for Lifelong Riders
We're on the same page...my references to high school physics were minor jabs to keep this light. I wasn't interested in racing brags or putting a stick in anyone's eye over their bike or personal attacks suggesting someone's ego was bigger than someone else's.
I found the topic of the relationship between hp, weight and top end speed of our bikes to be interesting. The fact that the friction of your wife's knuckles in your sides as you reach "terminal speed" is your biggest limiting factor is something I can relate to. My bike's speed is more often than not, "terminated" by my wife long before it's terminated by aerodynamics or weight

I promise to put my pocket protector away unless its truly needed for a data duel, which is of course much safer than a terminal speed dual with our bikes!!!
Last edited by Heatwave; Oct 5, 2011 at 12:51 PM.


