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    Posted: 01/15/2012 at 11:07pm
ok quick question, let say that someone have the ability to produce the max spin that a rubber can produce, how do you know that the rubber cannot go beyond that point? i guess its a complicated question but lets focus of the spin during serves and not rallies, if you think that there is no possible way please say so, i like to see different opinions
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Post Options Post Options   Thanks (0) Thanks(0)   Quote pnachtwey Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 1:35am
Start with how fast you can strike the ball in a direction tangential to the ball.   Look at the thread "the fastest serve ever".    That serve generated a lot of spin.


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Post Options Post Options   Thanks (0) Thanks(0)   Quote bluebucket Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 3:26am
The time you most easily find the limits of a rubber is in a heavy counter topspin rally, the forces on the rubber then are much higher than anytime in general play. You can feel when things start to go out of whack in the sponge
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Post Options Post Options   Thanks (0) Thanks(0)   Quote pnachtwey Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 5:49am
This is about spin generated during a serve.
I don't think the rubber is the limiting factor.  One can always brush the ball just a little faster to generate more spin.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote arxidiavol Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 6:20am
In general , the only limitation is tecnique.The speed of arm at the moment of conatct is about 10 meters per second.( men, pros).Can you swing so fast ?
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Post Options Post Options   Thanks (0) Thanks(0)   Quote icontek Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 9:07am
Originally posted by arxidiavol arxidiavol wrote:

In general , the only limitation is tecnique.The speed of arm at the moment of conatct is about 10 meters per second.( men, pros).Can you swing so fast ?


Service spin and counterlooping spin are produced differently.

Service spin is limited to the forces from the toss and your batspeed (and how thin you can make your contact).

Counterlooping tests your technique and rubber's ability to REVERSE incoming forces.

Looping against underspin, like serving, is limited to your batspeed, but also how how well your contact will CONTINUE (and ADD TO) incoming spin.

A rubber that produces the most spin on service (from the same technique) may not be the same rubber that REVERSES spin on counterloops the best.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote BH-Man Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 12:24pm
Originally posted by Sofaires Sofaires wrote:

ok quick question, let say that someone have the ability to produce the max spin that a rubber can produce, how do you know that the rubber cannot go beyond that point? i guess its a complicated question but lets focus of the spin during serves and not rallies, if you think that there is no possible way please say so, i like to see different opinions
 
If I understand you right, Player "A" uses Stiga Calibra on his TBS or ALC or whatever and after a time, reaches the point where he gets the maximum spin he can make on serves, openers vs underspin, and on counterloops from mid-distance. You want to zero in on the spin on serving for one metric.
 
You seem to want to know if there can be even more spin created with the same rubber/blade in these strokes, especially the serves.
 
My answer is YES, it can go beyond that point. All you need is a player with more effective technique who can make more spin with the same bat. I watch what my club mates give me for serves in various situations, including max bottomspim when they try it. I watch the same serves the same players give the other club mates. I see how much or how little spin is being produced. I have had a few club mates stop practicing with the other club mates and ask me how/why they are not getting even more spin than they are making. (They all know I can make very heavy spin when I want to) I serve using their bat and make 30% more spin on my cut serve, both short and deep. The same opponent who was able to return the same serve from my club mate, now nets my serve, not even close.
 
A more effective technique is all that is needed. You get heavy spin on cut serves by tossing the ball at least head hight or more, using the whole body, timing everything well, and making good arm and wrist snap, contacting ball at the 6 O'Clock axis for a short serve. Making heavy spin on serve is all about accelleration, timing, and max bat speed at impact. There is always someone who can do it better than the next guy or gal.
 
BTW, having the ablity to make very heavy spin is a good asset, but not just because it is very heavy. You will not get but a point or two maximum vs a good player by serving him/her only heavy underspin. You need to show the ability to create heavy underspin, so that when you serve with less underspin or even a no-spin using the same service motion and followthorugh, that it looks heavy while it is not. That is what gives you the easy balls to attack for a putaway or strong pressure. We already know this, but what the heck, I think it is good to talk about it again every so often.
 
 
 
 
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Post Options Post Options   Thanks (0) Thanks(0)   Quote pnachtwey Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 12:55pm
Originally posted by icontek icontek wrote:

In general , the only limitation is technique.
Yes, now what is an estimate of the upper bound on the max spin?

Quote
The  speed of arm at the moment of conatct is about 10 meters per second.( men, pros).Can you swing so fast ?
I hope so.  Do you think 10 m/s is fast?  Did you convert 10 m/s to mph to sanity check?  It is only 22.4 mph.  Little high school girls can fast pitch over twice that fast.

Why not really try to come up with a real answer or at least a range of plausible answers?
Don't cloud the issue counter looping and other BS.   Start with an assumption like the blade is horizontal and the ball falls on the blade as the blade is moving towards the net like a ghost serve.

This is a good problem to strain your brain on.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote racquetsforsale Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 4:26pm
P,
 
I think you have to take the type of arm motion into account. It's a lot easier to generate arm speed when throwing. I pitcher may be able to throw 90, but even if he is the most skilled TT player, he cannot loop at that speed or brush the ball at that speed when serving.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Sofaires Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 6:41pm
Originally posted by BH-Man BH-Man wrote:

Originally posted by Sofaires Sofaires wrote:

ok quick question, let say that someone have the ability to produce the max spin that a rubber can produce, how do you know that the rubber cannot go beyond that point? i guess its a complicated question but lets focus of the spin during serves and not rallies, if you think that there is no possible way please say so, i like to see different opinions
 
If I understand you right, Player "A" uses Stiga Calibra on his TBS or ALC or whatever and after a time, reaches the point where he gets the maximum spin he can make on serves, openers vs underspin, and on counterloops from mid-distance. You want to zero in on the spin on serving for one metric.
 
You seem to want to know if there can be even more spin created with the same rubber/blade in these strokes, especially the serves.
 
My answer is YES, it can go beyond that point. All you need is a player with more effective technique who can make more spin with the same bat. I watch what my club mates give me for serves in various situations, including max bottomspim when they try it. I watch the same serves the same players give the other club mates. I see how much or how little spin is being produced. I have had a few club mates stop practicing with the other club mates and ask me how/why they are not getting even more spin than they are making. (They all know I can make very heavy spin when I want to) I serve using their bat and make 30% more spin on my cut serve, both short and deep. The same opponent who was able to return the same serve from my club mate, now nets my serve, not even close.
 
A more effective technique is all that is needed. You get heavy spin on cut serves by tossing the ball at least head hight or more, using the whole body, timing everything well, and making good arm and wrist snap, contacting ball at the 6 O'Clock axis for a short serve. Making heavy spin on serve is all about accelleration, timing, and max bat speed at impact. There is always someone who can do it better than the next guy or gal.
 
BTW, having the ablity to make very heavy spin is a good asset, but not just because it is very heavy. You will not get but a point or two maximum vs a good player by serving him/her only heavy underspin. You need to show the ability to create heavy underspin, so that when you serve with less underspin or even a no-spin using the same service motion and followthorugh, that it looks heavy while it is not. That is what gives you the easy balls to attack for a putaway or strong pressure. We already know this, but what the heck, I think it is good to talk about it again every so often.
 
 
 
 

i think is good to talk about it too, and i appreciate each and every comment  
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Post Options Post Options   Thanks (0) Thanks(0)   Quote igorponger Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 7:23pm
http://www.ittf.com/ittf_science/SSCenter/docs/199408014%20-%20%20Tiefenbacher%20-%20Impact.pdf
Look into this study carefully.
You could see why the Europians do use non-tacky rubber and thick sponge to get heavy spin on the ball.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Sofaires Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 8:11pm
Originally posted by igorponger igorponger wrote:

http://www.ittf.com/ittf_science/SSCenter/docs/199408014%20-%20%20Tiefenbacher%20-%20Impact.pdf
Look into this study carefully.
You could see why the Europians do use non-tacky rubber and thick sponge to get heavy spin on the ball.

very interesting, i downloaded it to read it more carefully later on thanks a lot for your post!
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Post Options Post Options   Thanks (0) Thanks(0)   Quote pnachtwey Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 8:21pm
Originally posted by igorponger igorponger wrote:

http://www.ittf.com/ittf_science/SSCenter/docs/199408014%20-%20%20Tiefenbacher%20-%20Impact.pdf
Look into this study carefully.
You could see why the Europians do use non-tacky rubber and thick sponge to get heavy spin on the ball.
I have.
I did see the point about the non-tacky sponge.
Tangential elasticity is more important than tackiness for generating spin.
I saw that tackiness slows down the normal speed of the ball.  It reduced Epar.

I saw where they said the rubber slows down the ball because it absorbs energy.   It reduced Epar.   This contradicts those that say thicker rubbers are faster.     

I didn't see where it said it is best to use thick sponges.   In this test they didn' t really use thick sponges. I saw some comparison with 1.3mm and 1.8mm rubbers but that is not thick!

Notice that there are two main variables in the document.  Epar and Tpar.  These are the normal and tangential COR.

So what does this mean?   If the Epar and Tpar are 0.6 and the ball drops from 1 m and lands on horizontal paddles moving 10 m/s,  how much spin will be generated?   It is obvious that faster the paddle speed and the higher the Tpar the more spin will be generated.

Racquestsforsale,  who cares about the stroke!!!   The ball doesn't care what the paddle did before the instant of impact.    Only the current position, velocity and acceleration matter.  How they are achieved makes no difference.



   


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Post Options Post Options   Thanks (0) Thanks(0)   Quote Sofaires Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 8:34pm
in my opinion and feel free to correct me if im wrong but what you say about the ball doesnt care is partially true, why? well i think that before you make contact with the ball the movements of the body and arm and wrist will help you to get additional speed or spin wich ever you like to apply, if im wrong please correct me  
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Hookshot Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 8:45pm
Sofaires,
He is correct, the effect on the ball is only affected at "The moment of contact". Yes, how you do the stroke can determine bat speed but he is not talking about that, only "the moment of contact". Smile
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Sofaires Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 10:05pm
ahh i see thanks hookshot
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Post Options Post Options   Thanks (0) Thanks(0)   Quote mrdoodzki Quote  Post ReplyReply Direct Link To This Post Posted: 01/16/2012 at 10:20pm
you guys make my nose bleed...
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Post Options Post Options   Thanks (0) Thanks(0)   Quote pnachtwey Quote  Post ReplyReply Direct Link To This Post Posted: 01/17/2012 at 2:38am
Sofaires,  you want to know the maximum spin.  Generating maximum spin requires that the paddle hit the ball with a high tangential component to its motion.  How fast can you move your paddle while serving? Do you know how to do a ghost serve?
http://youtu.be/unCoKMQ7H0o
This guy isn't even moving his paddle that quickly.  Angling the paddle up a bit allows one to put more spin on the ball and less forward motion.  





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Post Options Post Options   Thanks (0) Thanks(0)   Quote Sofaires Quote  Post ReplyReply Direct Link To This Post Posted: 01/17/2012 at 10:05am
Originally posted by pnachtwey pnachtwey wrote:

Sofaires,  you want to know the maximum spin.  Generating maximum spin requires that the paddle hit the ball with a high tangential component to its motion.  How fast can you move your paddle while serving? Do you know how to do a ghost serve?
http://youtu.be/unCoKMQ7H0o
This guy isn't even moving his paddle that quickly.  Angling the paddle up a bit allows one to put more spin on the ball and less forward motion.  





 that help me alot thanks for the post!
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Post Options Post Options   Thanks (0) Thanks(0)   Quote racquetsforsale Quote  Post ReplyReply Direct Link To This Post Posted: 01/17/2012 at 2:02pm
Originally posted by pnachtwey pnachtwey wrote:


Racquestsforsale,  who cares about the stroke!!!   The ball doesn't care what the paddle did before the instant of impact.    Only the current position, velocity and acceleration matter.  How they are achieved makes no difference.
 

How can you say the stroke is unimportant. TT strokes do not resemble throwing a ball. The movements of serving in TT is NOTHING like throwing a ball. You can't engage the same muscles the same way and to the same degree. HELL, even the mechanics of throwing a baseball and football are different! All I'm saying is, it's not valid to justify to someone that since even a small highschool girl can generate more than 20m/s of armspeed WHEN THROWING OVERHAND, he should be able to generate that level of bat speed when serving in TT.

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Post Options Post Options   Thanks (0) Thanks(0)   Quote pnachtwey Quote  Post ReplyReply Direct Link To This Post Posted: 01/17/2012 at 5:05pm
Originally posted by racquetsforsale racquetsforsale wrote:

Originally posted by pnachtwey pnachtwey wrote:


Racquestsforsale,  who cares about the stroke!!!   The ball doesn't care what the paddle did before the instant of impact.    Only the current position, velocity and acceleration matter.  How they are achieved makes no difference.

How can you say the stroke is unimportant.

Easy,  the stroke is unimportant.  There I just did.   I qualify that by saying the ball doesn't care what the paddle was doing before impact and it was the state at the instant of impact that counts.  You can have two different strokes and if at the instant of impact the state ( position, velocity , acceleration ) is the same the impulse and results will be the same.

If you make the same stroke but hit the ball a millisecond sooner or later the position, velocity and acceleration will not be the same.  The results will be different.  So much for the stroke being important. Obviously there is a timing component too and at a particular time the paddle will have a certain, position, velocity and acceleration.  I should also add that the rotation of the paddle is important too ( yaw, pitch and roll and their derivatives ) but that just confuses the issue even more.

It is also obvious that we are more likely to achieve hitting the ball with the paddle in the same state if we use the same stroke but get this, the stroke is not important in the physics of things.

Quote TT strokes do not resemble throwing a ball. The movements of serving in TT is NOTHING like throwing a ball.

So? I never said it did but because TT is so lame there isn't good sports data for TT so I had to use another sport, girls fast pitch softball, as an example to make a point.

Has anybody in the TT world ever put a 3D accelerometer on the back of a blade just to measure position, velocity and acceleration during various strokes?   I haven't seen the data and I have looked. So how do you know what the limits are?

Quote

You can't engage the same muscles the same way and to the same degree. HELL, even the mechanics of throwing a baseball and football are different!

All I'm saying is, it's not valid to justify to someone that since even a small high school girl can generate more than 20m/s of armspeed WHEN THROWING OVERHAND,

I didn't say over hand.  I was referring to under hand pitching in girls fast pitch softball.

http://www.pitchsoftball.com/Page8.html

Pitching under handed has got be be slower than pitching side arm where you can really twist your body for extra speed.

Quote

 he should be able to generate that level of bat speed when serving in TT.

Wimp.  Beat by a 14 yr old high school girl.

The point I was making is that we can swing the paddle more than fast enough.  10 m/s is easy.  Even a high school girl can do it.  Some didn't think so. It is control and physics that is the limiting factor.   Did you see the fastest serve ever thread? Look at the swing.  I don't think he is swinging at 20 m/s but I doubt he is anywhere near his maximum either.

If you swing a paddle at 10 m/s and you are doing a ghost serve you have only about a 15 millisecond where the paddle will be under the ball.  The toss and swing must be precise.  At 20 m/s the window is half that.  The window is even even smaller if you want to hit the middle of the paddle.  I don't think speed is an issue.  Timing is.  I would miss a lot of serves.  


  





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Post Options Post Options   Thanks (0) Thanks(0)   Quote racquetsforsale Quote  Post ReplyReply Direct Link To This Post Posted: 01/17/2012 at 5:37pm

I appreciate the perspective you bring to the discussions on this forum because I think along the same lines, quantifying certain elements of the game, but I also take a further step to think about how my body needs to move to produce those vectors and impulses. I think that's what the typical forum member who is new to the sport is after. I think people will be more receptive if you don't just throw a bunch of numbers and physics principles at them to dismiss their views, especially if you've missed the point they're making.

I'm not challenging your physics; I'm not challenging what the max arm speed a typical adult male can achieve. My point was and still is you are ignoring the constraints under which a TT player must produce those swing speeds. Being able to produce 22m/s of arm speed throwing overhand or UNDERHAND with a HUGE windup and being able to produce the same blade speed with a much much more compact motion when serving in TT are two different things. 
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Post Options Post Options   Thanks (0) Thanks(0)   Quote swampthing Quote  Post ReplyReply Direct Link To This Post Posted: 01/17/2012 at 11:04pm
Originally posted by igorponger igorponger wrote:

http://www.ittf.com/ittf_science/SSCenter/docs/199408014%20-%20%20Tiefenbacher%20-%20Impact.pdf
Look into this study carefully.
You could see why the Europians do use non-tacky rubber and thick sponge to get heavy spin on the ball.

Thanks for your post!  I was looking for a concept/term to describe the way some rubbers really conserve the incoming ball's angular momentum or spin (like Tenergy, Hexer HD, tensors, etc) and the way others absorb it (Anti, certain pips and untuned sheets, etc) and how some can be tacky and still absorb spin (Some untuned Chinese rubbers).  

Drum roll... Tangential Effect! (pg. 3)  

Hmm, perhaps that's why people tune, to increase the tangential effect.  Anyways, I've always wished manufacturers listed a 'tackiness' rating and tangential effect rating separately to describe the 'spin' of a rubber.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote Sofaires Quote  Post ReplyReply Direct Link To This Post Posted: 01/17/2012 at 11:09pm
swampthing thats actually not a bad idea i would like to see the tackiness and tangential rating 
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Post Options Post Options   Thanks (0) Thanks(0)   Quote pnachtwey Quote  Post ReplyReply Direct Link To This Post Posted: 01/18/2012 at 3:08pm
So what does an Tpar of 0.5 mean?   If Sofaires does a ghost serve with the paddle horizontal but moving at 10 m/s then how fast will the ball be moving and how fast will it be spinning?
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Post Options Post Options   Thanks (0) Thanks(0)   Quote swampthing Quote  Post ReplyReply Direct Link To This Post Posted: 01/21/2012 at 3:52pm
According to the report, a rubber with Tpar of .5 would be the ball loses approx. half of it's surface velocity.  IMHO, their coverage of tangential effect is over-simplified as their Tpar formula and Figure 1 does not include a variable for the velocity of the ball as a whole.

However, as over-simplified as it is, my estimate for a Tpar of .5 would be the total of half the ball's incoming spin velocity plus half of the racket's surface velocity.  So, for a serve using the lowest legal toss, the ball's pre-impact surface velocity would be near zero, thus making the resulting spin approx. half of the racket velocity.


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Post Options Post Options   Thanks (0) Thanks(0)   Quote smackman Quote  Post ReplyReply Direct Link To This Post Posted: 01/21/2012 at 5:39pm
Originally posted by igorponger igorponger wrote:

http://www.ittf.com/ittf_science/SSCenter/docs/199408014%20-%20%20Tiefenbacher%20-%20Impact.pdf
Look into this study carefully.
You could see why the Europians do use non-tacky rubber and thick sponge to get heavy spin on the ball.
Some points
 the survey is a little old now
Chinese rubbers have improved and the most popular brands used now, wern't invented then and more different softnesses and better sponges are available now
A High level Chinese player dosn't  loop the ball at the same place as most Euro players (what Im trying to say that a tacky rubber is very effective if used in a more at the ball technique compared to letting the ball drop and then looping)
 I thought tacky Chinese rubbers are fantastic for spin serves

 Maximum spin is just one small part of serving and deception, variance, length, angle, placement and sometimes less spin are all components of serving
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Post Options Post Options   Thanks (0) Thanks(0)   Quote swampthing Quote  Post ReplyReply Direct Link To This Post Posted: 01/21/2012 at 6:05pm
Originally posted by smackman smackman wrote:

sometimes less spin are all components of serving

Yes, I think dead ball serves are underrated.  Smile
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Post Options Post Options   Thanks (0) Thanks(0)   Quote dingyibvs Quote  Post ReplyReply Direct Link To This Post Posted: 01/21/2012 at 8:24pm
Originally posted by swampthing swampthing wrote:

According to the report, a rubber with Tpar of .5 would be the ball loses approx. half of it's surface velocity.  IMHO, their coverage of tangential effect is over-simplified as their Tpar formula and Figure 1 does not include a variable for the velocity of the ball as a whole.

However, as over-simplified as it is, my estimate for a Tpar of .5 would be the total of half the ball's incoming spin velocity plus half of the racket's surface velocity.  So, for a serve using the lowest legal toss, the ball's pre-impact surface velocity would be near zero, thus making the resulting spin approx. half of the racket velocity.



The conclusion is basically correct, but your understanding is not quite there.  The Tpar formula does include the velocity of the ball as a whole, as this quote indicates: "...relative tangential contact velocity (which is produced by rotation and tangential velocity)...."  That is, the two variables used in the Tpar formula are both a sum of the surface rotational velocity and the tangential velocity.

The actual surface rotational velocity of a ball struck perfect at the bottom with a racket moving at 10 m/s would then be ROUGHLY 5 m/s.  The actual number would be 5 m/s MINUS the tangential velocity of the ball(i.e. the speed with which it moves forward).  Since its forward moving speed is probably fairly small compared to the rotational speed, the speed of rotation can thus be considered to be roughly 5 m/s.  This is also assuming that the ball is tossed perfectly vertically up with no initial tangential velocity or rotation.  How high the ball is tossed is irrelevant to this calculation.
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Post Options Post Options   Thanks (0) Thanks(0)   Quote swampthing Quote  Post ReplyReply Direct Link To This Post Posted: 01/21/2012 at 11:44pm
Originally posted by dingyibvs dingyibvs wrote:

Originally posted by swampthing swampthing wrote:

According to the report, a rubber with Tpar of .5 would be the ball loses approx. half of it's surface velocity.  IMHO, their coverage of tangential effect is over-simplified as their Tpar formula and Figure 1 does not include a variable for the velocity of the ball as a whole.

However, as over-simplified as it is, my estimate for a Tpar of .5 would be the total of half the ball's incoming spin velocity plus half of the racket's surface velocity.  So, for a serve using the lowest legal toss, the ball's pre-impact surface velocity would be near zero, thus making the resulting spin approx. half of the racket velocity.



The conclusion is basically correct, but your understanding is not quite there.  The Tpar formula does include the velocity of the ball as a whole, as this quote indicates: "...relative tangential contact velocity (which is produced by rotation and tangential velocity)...."  That is, the two variables used in the Tpar formula are both a sum of the surface rotational velocity and the tangential velocity.

The actual surface rotational velocity of a ball struck perfect at the bottom with a racket moving at 10 m/s would then be ROUGHLY 5 m/s.  The actual number would be 5 m/s MINUS the tangential velocity of the ball(i.e. the speed with which it moves forward).  Since its forward moving speed is probably fairly small compared to the rotational speed, the speed of rotation can thus be considered to be roughly 5 m/s.  This is also assuming that the ball is tossed perfectly vertically up with no initial tangential velocity or rotation.  How high the ball is tossed is irrelevant to this calculation.

Ah yes, you could add a percentage of the axis vector (speed of the ball as a whole) to the tangential vector (speed of point on surface) for a total tangential velocity, i.e. if both vectors are in the same direction or parallel, then you could add 100% of the axis vector to the tangential vector.

I departed from the assumption that the axis vector would be perpendicular to the tangential vector in pnachtwey's example, thus making the toss irrelevant.  I guess I heard "ghost serve" and envisioned a player trying to strike the ball upward to get the toss to matter. Smile

Thanks for helping kick the cobwebs loose.  It's been a while since my last physics course. LOL


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