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Rotating Mass – Marketing Fallacy?
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joseph hollinger



Joined: 12 Sep 2002
Posts: 9532
Location: United States, California, san francisco

PostPosted: Fri Feb 20, 2004 11:28 am    Post subject: Reply with quote

Scott McFadden wrote:
The total effect is neutral as far as the logs acceleration down the inclined plane.


Except that it's not. The log accelerates more slowly in the case where
it has to rotate. I think you need to think about the basic F=ma. And
then think about what "a" is in the case of rotation. I'll try and find
some more examples for you.
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Scott McFadden



Joined: 20 Jul 2001
Posts: 125

PostPosted: Fri Feb 20, 2004 12:03 pm    Post subject: Reply with quote

Here’s another way to look at this.

Put your kart (or anything else with wheels) on the floor. Mark a point on the tire sidewall. Now push the kart forward and track the “absolute” course of the mark.

The mark does not rotate at all, it just moves in a basic sine wave pattern. Add as many marks as you want at any point on the wheel sidewall sprocket or brake rotor. None of them will rotate they will all follow the sine wave course differing only in magnitude. Now consider that each mark represent some mass, it can be as small or as large as you choose. Its mass remains constant, the forces trying to move it forward remain constant accept for the up and down vectors which (did you guess) are equal and opposite to one another and therefore cancel themselves out. Force/mass = acceleration so acceleration will be constant.

Effectively then the combination of all the “marks,” lets say all of the mass of the rotating components creates a single vector in the same direction that the kart is travelling. So reducing that mass given the constant force of our motor, will result in greater acceleration, BUT we have to add the same mass to the back of the seat in order to make wait. We’ve gained nothing for all intents and purposes.


Inertia is irrelevant as Newton’s laws of motion apply the same to bodies at rest or in “uniform motion in a straight line”
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Scott McFadden



Joined: 20 Jul 2001
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PostPosted: Fri Feb 20, 2004 1:32 pm    Post subject: Reply with quote

[quote="joseph hollinger"] The log accelerates more slowly in the case where
it has to rotate.

I think you need to support this statement. I believe it to be an incorrect assumption.
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Steve Frank



Joined: 06 Dec 2002
Posts: 626

PostPosted: Fri Feb 20, 2004 1:48 pm    Post subject: Re: Rotating Mass – Marketing Fallacy? Reply with quote

Scott McFadden wrote

3. we’re relying on one motor with constant power

A kart motor (or any internal combustion engine really) does not make constant power. Power changes as a function of RPM and torque. A lighter flywheel takes less torque to accelerate, meaning the the engine has more of its power available to do other work (accelerate the kart in our case).

As far as hubs and wheels go, consider the radius of gyration. IE, take a bicycle wheel and hold it by the axle with both hands. Now have a buddy give it a good spin and try to turn the wheel left and right. See how much force it takes to change the direction of the spinning mass? Now do that with a passeger car wheel. Guess which one is more difficult to change the direction. Shocked

Happy racing this weekend!

Steve Frank
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Greg Mason



Joined: 08 Mar 2003
Posts: 128
Location: United States, Washington, Spokane

PostPosted: Fri Feb 20, 2004 2:47 pm    Post subject: Reply with quote

In the "Real" karting world, I think you end up getting more from strength, and reliability of rotating stuff, than you could ever hope to get from less rotating mass. What good, is a liteweight chain, if it stretches, and falls off during the race? What good is a Magnesium liteweight wheel, if it cracks when you get up on the curbing, and the tire goes flat, because the magnesium is so brittle compared to aluminum? I guess you can get to put more lead in a more strategic place, but only if you're not as fat as me!
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Scott McFadden



Joined: 20 Jul 2001
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PostPosted: Fri Feb 20, 2004 2:53 pm    Post subject: Re: Rotating Mass – Marketing Fallacy? Reply with quote

[quote="Steve Frank"]A kart motor (or any internal combustion engine really) does not make constant power. Power changes as a function of RPM and torque. A lighter flywheel takes less torque to accelerate, meaning the engine has more of its power available to do other work (accelerate the kart in our case).

Well know I did specify my assumptions which are always necessary in order to make a reasonable analysis. But as you've mentioned it what you say of course is true, right up until the point where you establish a direct connection between the engine flywheel and the ground. This in effect is what you do on all direct drive karts and once you have engaged the clutch fully in any other type of kart. Once this mechanical link with the track is established considering the mass of the flywheel in isolation of the total mass of the kart (which is constant) is leads to an incomplete analysis at best.

The Gyroscopic forces are again irrelevant given my original and reasonable assumption that it was sufficient for the purposes of this argument to assume we should initially stick with linear motion of the kart as a whole. However in my last post I did touch on this issue, and knowing a little bit about gyroscopic forces from my aircraft background, there are two things necessary for any significant gyroscopic forces to be generated 1. high RPM or 2. mass or 3 large diameters none of which we have on a kart even without getting into the fact that the force your talking about is only the difference between the standard rotating parts and the lightened ones available.

Come on ……somebody challenge this with some credible arguments. Or are you prepared to just dismiss it, because hey, if it didn’t make at least a little bit of a difference, why would the manufactures flog it so?
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joseph hollinger



Joined: 12 Sep 2002
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Location: United States, California, san francisco

PostPosted: Fri Feb 20, 2004 2:58 pm    Post subject: Reply with quote

[quote="Scott McFadden"]
joseph hollinger wrote:
The log accelerates more slowly in the case where
it has to rotate.

I think you need to support this statement. I believe it to be an incorrect assumption.


Boy, you're not making this easy! Like I said before, that statement is
pretty much culled straight out of a very well known physics textbook.
I have no doubt as to its truth.

Fundamentally, you have to appreciate that there is energy stored in
flywheels. That energy is independent on their translational (linear)
movement. If you rotationally accelerate a flywheel you increase
the amount of energy it stores. If you then move it laterally, well
that takes energy too. Those two quantities, linear and rotational
momemtum, are completely unrelated. If you throw a tennis ball
through the air, it has linear momentum. If you make it spin and
then throw it, it can have the same linear momentum but has an
added component of rotational momentum. That becomes quite
obvious when it hits the ground and accelerates linearly.
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joseph hollinger



Joined: 12 Sep 2002
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PostPosted: Fri Feb 20, 2004 3:01 pm    Post subject: Re: Rotating Mass – Marketing Fallacy? Reply with quote

Scott McFadden wrote:


Come on ……somebody challenge this with some credible arguments. Or are you prepared to just dismiss it, because hey, if it didn’t make at least a little bit of a difference, why would the manufactures flog it so?


Becuase it sells parts! Try this, calculate the moment of inertia for
40mm and 50mm axles. I'm willing to bet that you will find that
the MOI for the 50 is higher than the MOI for the 40. And yet, kart
manufacturers claim that 50's accelerate faster! That's not even
possible and it's still used to sell parts.
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Larry Andrews



Joined: 13 May 2002
Posts: 2852
Location: United States, California, SC Mtns

PostPosted: Fri Feb 20, 2004 3:57 pm    Post subject: Reply with quote

joseph hollinger wrote:


It's also straight out
of Haliday and Resnick which is one of the most widely used
freshman physics textbooks of all time.

On karts, rotational mass does count. It just counts so little that
you'll never be able to see any difference in the real world.


Wow, I'm *so* glad that I won't be forced to bust out my Feynman 101 texts... Very Happy

And it's nice to see that Joseph and I agree (at least in principle) on the radius issue.
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Larry Andrews



Joined: 13 May 2002
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Location: United States, California, SC Mtns

PostPosted: Fri Feb 20, 2004 4:02 pm    Post subject: Reply with quote

Greg Piet wrote:
You know I go kartng to get away from work... thanks a lot!
<grumble grumble>


Yeah, don't anybody even think of asking me about...oh, um, nevermind!
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Tim Doll



Joined: 18 Jul 2001
Posts: 2646
Location: United States, Washington,

PostPosted: Fri Feb 20, 2004 4:30 pm    Post subject: Re: Rotating Mass – Marketing Fallacy? Reply with quote

Scott McFadden wrote:
Once this mechanical link with the track is established considering the mass of the flywheel in isolation of the total mass of the kart (which is constant) is leads to an incomplete analysis at best.

Come on ……somebody challenge this with some credible arguments. Or are you prepared to just dismiss it, because hey, if it didn’t make at least a little bit of a difference, why would the manufactures flog it so?


Well Scott, as has already been pointed out, every high school physics book disagrees with your basic premise that it makes NO difference (now, if you want to argue that the difference is insignificant, that is a different kettle of fish Very Happy )

But consider a simple childs toy that I've seen hundreds of times. It is a small car or truck, with a little flywheel in the middle. You accelerate the the flywheel by using your hand to run the little car across the floor - usually several times to get that flywheel really going. Now, as you are holding this toy in your hand, the flywheel spinning like mad, it has zero linear velocity or energy. BUT that spinning flywheel has significant rotational energy. Now set the toy on the floor - it will immediately take off across the floor, accelerating as that little flywheel scrambles for traction. You've just turned rotational energy into linear energy. Further, once the flywheel stops skidding on the floor - the toy reaches max speed, the linear (m*v(squared)) energy of that little toy will exactly match the loss in rotation energy of the flywheel relative to when you set it on the floor (less of course frictional losses).

How significant this is to karting depends on the part you are speaking of. Remember, rotation energy is proportional to the angular velocity squared, so something like an engine clutch, accelerating to 14,000rpm, will be much more significant than a rear axle, accelerating to perhaps 2500 rpm - that's why so much effort has gone into making lightweight engine clutches. Also, the rotational inertia is related to mass*radius. So something like a brake disk - with significant mass at a relatively large radius - will be far more significant than an axle, which has the mass all at a small radius. Of course, once you get away from the engine, the majority of rotation energy on a kart is the tires (largest radius, large mass), but no one pays any attention to that Razz

Tim
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Mike Goebel



Joined: 28 Jul 2001
Posts: 5795
Location: United States, California, Winnetka

PostPosted: Fri Feb 20, 2004 5:34 pm    Post subject: Reply with quote

Scott McFadden wrote:

As you add friction (back to something closer to reality) it is a moment force that causes rotation, but only 50% of this force can be said to be in opposition to the force of gravity because gravity is acting on the entire mass of the log, so the friction applies a moment force that is oposite to gravity on the 50% of the log below the axis and nearest the plane, but in the same direction as gravity for the 50% of the log above the axis. The total effect is neutral as far as the logs acceleration down the inclined plane.


Way too much crack.

Mike G.
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Larry Hayashigawa



Joined: 21 Oct 2001
Posts: 401
Location: United States, California,

PostPosted: Fri Feb 20, 2004 6:21 pm    Post subject: Rotating Inertia Reply with quote

This following should provide an insight to what effect rotating inertia and kart weight has on acceleration. Its pretty intuitative.

Put kart on stand. Start motor. Now floor the throttle. See how quickly the tire accelerates. Now think, will my kart tires accelerate that hard on the track. NO! Conclusion: Rotation inertia is microscopic compared to the weight of the kart.

If you are still a disbeliever, then go to the next step. (not sure if this is safe)

Put your kart on the stand, start motor. Turn on your data ack system (MyChron), get your beacon flash the sensor to start the clock, bring the throttle up to 40 mph and then floor the throttle, let off the throttle at 50 mph and flash the sensor again to stop the clock. (I would not do this on the stand but you are free to do so)

Now put the kart on the ground. Do the same experiment, maybe at the track? Bring the kart up to 40 and then stand on the throttle and let the kart go to top speed (hopefully greater than 50 mph).

Your time from 40 to 50 will be significantly longer in the kart than on the kart stand. It will be pretty obvious that rotating inertia is tiny compared to the mass of the kart. If you want, use the math function (take the derivative of speed) in Race Studio to compute acceleration from speed and compare the two.
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Scott McFadden



Joined: 20 Jul 2001
Posts: 125

PostPosted: Fri Feb 20, 2004 6:58 pm    Post subject: Reply with quote

[quote="joseph hollinger"]Fundamentally, you have to appreciate that there is energy stored in
flywheels. That energy is independent on their translational (linear)
movement.

You add an unnecessary degree of complication by talking about inertia because all we’re dealing with here is a change of speed. Whether from zero to 60 or from 60 to zero the kart as a whole has inertia once its moving and the inertia is a function of the total mass and the force applied. You cannot separate the energy stored in the rotating parts from that stored in the non-rotating parts. Well you can if you want but it proves nothing. Whether the energy is stored in the wheels tires brake rotors or the linear motion of the kart it is still a function of the mass.

Weather mass is accelerated rotationally or in a straight line the force required to achieve a given acceleration is the same. your basic F=ma

Your argument suggests that because one part of the kart is rotating, its mass can store more energy than a non rotating part of identical mass, and this is simply not possible as long as the relationship between them is fixed ie. your flywheel ceases to be a flywheel in terms of a pure energy storage device, as soon as you connect it to the ground, because now rotational and linear motion are directly connected, one cannot happen without the other.

when the kart is on the track, and there is no wheel spin, your flywheel energy is no longer independant of the linear movement as you assure.
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joseph hollinger



Joined: 12 Sep 2002
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PostPosted: Fri Feb 20, 2004 7:11 pm    Post subject: Reply with quote

Scott McFadden wrote:

Your argument suggests that because one part of the kart is rotating, its mass can store more energy than a non rotating part of identical mass, and this is simply not possible as long as the relationship between them is fixed ie. your flywheel ceases to be a flywheel in terms of a pure energy storage device, as soon as you connect it to the ground, because now rotational and linear motion are directly connected, one cannot happen without the other.


This is, to put things simply, completely incorrect. If your kart had
a flywheel that you connected to the rear axle via a clutch, you could
accelerate the kart and spin up the flywheel. Once you got going you
could then release the clutch, decoupling the flywheel and the ground.
Now under your model, there's been a net increase in energy, simply
by activating the clutch. How is that possible?

Anyway Scott, I've tried with little success to convince you here. And
you've done a fairly good job of defending your position. I'd stay
and discuss some more, but I've got a long drive to Buttonwillow
where it's probably going to rain all day Smile Feel free to have the last
word.
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