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I'm pretty sure I've asked you this before, with no answer, but let's try again. Can you please write out your spin regulation for me -concise and in plain English would be good. And describe the test that the USGA could use to determine if balls conform to the regulation.
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I have been specifying my regulation from the beginning. My English teachers and profs always said I was a poor writer, so maybe it is my fault for not getting it across. My Ph. D. advisor said my writing was to pithy for readers to decipher without excessive digestion.
There would be no minimum spin from the driver!
I believe there should be a linear relationship between club loft and spin rate. I.e., (using made up numbers for demonstration) if a ball spins 2000 rpm off of 10 degrees, it should spin 2500 rpm off of 20 degrees, 3000 rpm off of 30 degrees, 3500 rpm off of 40 degrees, 4000 rpm off of 50 degrees, 4500 degrees of of 60 degrees.
If a ball spins 3000 rpm off of 10 degrees, it should spin 3500 rpm off of 20 degrees, 4000 rpm off of 30 degrees, 4500 rpm off of 40 degrees, 5000 rpm off of 50 degrees, 5500 degrees of of 60 degrees.
If a ball spins 4000 rpm off of 10 degrees, it should spin 4500 rpm off of 20 degrees, 5000 rpm off of 30 degrees, 5500 rpm off of 40 degrees, 6000 rpm off of 50 degrees, 6500 degrees of of 60 degrees.
All of these produce a line with equal slope, which is why the simplistic numbers were chosen. It is not necessary for the same slope to hold for all balls, just that the data provides a linear relationship. My understanding is that ProV1 typically might spin 2000 from driver, and 9000 from wedge. This sort of bounds spin rates. So perhaps low spin balls would spin 2000 from driver to 7000 from wedge, and high spin balls would spin 4000 from driver to 9000 from wedge. Obviously more realistic numbers could be provided by someone more knowledgeable of the technology.
The test would need to test different swing speeds to verify the linear relationship holds for all swing speeds.
The club faces would all have the same type of surface area, probably without grooves.
There would have to be a regulation to state the slight variation allowed from true linear, because in practice you probably are not going to get exactly linear. Obviously I am not a physicist that can address the actual physical response to such testing.
The USGA would have to develop Titanium Tiger to conduct the tests.
Thanks for that.
So, your impression at the moment is that the ProV1 is non-linear? Or that it has a much steeper slope than what the old balata balls had?
You do realize that the spin imparted to the ball is the result of the properties of the club, the ball properties, and the properties of the swing. Trying to control spin in some linear fashion through the ball alone seems to me to be a daunting to impossible engineering challenge. The grooves on drivers are markedly different than on wedges. A player might have a +5° angle of attack with a driver and a -5° angle of attack with a wedge. And, by the way, the stated loft of the driver is irrelevant - the loft that matters is the spin loft. And on we go go.
What do you suppose the average driver spin rate is on tour. It's certainly not 2000 rpm. The faster you swing the more spin you impart, and those guys swing hard. Also optimum flight of the ball depends at least partially on the spin rate - even the pros need some spin to create the lift force to keep the ball in the air. At what spin rate do you suppose a ball balloons and loses distance? Do you suppose that the difference between 9000 rpm and 7000 rpm on a full wedge shot would make a significant difference to a tour pro?
Certainly, the USGA can already measure spin rates and their effect on distance. Now if you could only tell them what the ideal spin rate would be to dial back the ball they'd be all set. The Tour pros wouldn't take long to retool to get the driver distance they're currently getting and sufficient spin to control iron shots.
Wouldn't it be infinitely easier to make the ball larger or lighter or both. Either, by the way would probably drive spin up a bit.
For your contemplation, I plotted the average spin rate by club of PGA Tour players and LPGA players as measured by Trackman. The LPGA players had no hybrid or 3 iron and used 7 woods instead. Obviously there is variation in the loft of each club as different players use different clubs, so it's not a controlled experiment. Clearly the irons are linear. There is a discontinuity around the 5W, hybrid/7W, and 3I, probably because they are likely all in the same loft range but have different swing characteristics associated with them. Draw whatever conclusions you like from the data, it seems to me getting to your linear spin model from driver to wedge is very unlikely. Finding the driver spin rate that reduces the top end guys distance by 10%, or whatever, sounds like the search for the golden fleece.