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Posted

It would be the perfect video for @ChetlovesMer if only there was a white belt in it.

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Bill

“By three methods we may learn wisdom: First, by reflection, which is noblest; Second, by imitation, which is easiest; and third by experience, which is the bitterest.” - Confucius

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Posted

We had this problem in high school. If you visualize it, you will see how to respond to the question. Of course when I was in high school, we had to learn how to use a slide rule. 😜

Scott

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Posted

So, I am going to try to answer this before watching. 

R1 = 1/3 x R2

C1 = 2xPixR1
C2 = 2xPixR2

This should be just the ratio of the circumferences of the circles. One revolution is just traversing the circumference of the circle. So, how many times does it take the small circle to traverse the larger circle's circumference. 

A = C2/C1 = R2/R1. Since R1 = 1/3 x R2. Then A = 1 / (1/13) = 3

 

Matt Dougherty, P.E.
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Posted
8 minutes ago, saevel25 said:

So, I am going to try to answer this before watching. 

Good on you for trying first. That's what most people would guess.

I knew the answer to this one because it had come up at some point in high school. I didn't know about the time with telescopes and all of that, but it makes sense.

Thanks for sharing this, @billchao.

Erik J. Barzeski —  I knock a ball. It goes in a gopher hole. 🏌🏼‍♂️
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Posted
1 minute ago, iacas said:

Good on you for trying first. That's what most people would guess.

I knew the answer to this one because it had come up at some point in high school. I didn't know about the time with telescopes and all of that, but it makes sense.

Thanks for sharing this, @billchao.

The frustrating part was, when I was doing that math. I thought, wait the center of the small circle is traveling a circle that combines the two radii. I wish I explored that route a bit. 🤣

Matt Dougherty, P.E.
 fasdfa dfdsaf 

What's in My Bag
Driver; :pxg: 0311 Gen 5,  3-Wood: 
:titleist: 917h3 ,  Hybrid:  :titleist: 915 2-Hybrid,  Irons: Sub 70 TAIII Fordged
Wedges: :edel: (52, 56, 60),  Putter: :edel:,  Ball: :snell: MTB,  Shoe: :true_linkswear:,  Rangfinder: :leupold:
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Posted
1 hour ago, saevel25 said:

The frustrating part was, when I was doing that math. I thought, wait the center of the small circle is traveling a circle that combines the two radii. I wish I explored that route a bit. 🤣

Yea I made that same mistake at first. It helped me to visualize it.

Bill

“By three methods we may learn wisdom: First, by reflection, which is noblest; Second, by imitation, which is easiest; and third by experience, which is the bitterest.” - Confucius

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Posted
7 hours ago, billchao said:

It would be the perfect video for @ChetlovesMer if only there was a white belt in it.

I remember when this happened. We learned about it in math class. Then I learned about it again in my prep-class for the SAT which was 1987 for me. So, I already knew this quite well. 

 

4 hours ago, iacas said:

Good on you for trying first. That's what most people would guess.

I knew the answer to this one because it had come up at some point in high school. I didn't know about the time with telescopes and all of that, but it makes sense.

Thanks for sharing this, @billchao.

Same for me. It was a kinda big story in 1983-84ish. Then when I took the SAT prep in 87 it was covered at nauseum. 

BTW - Thanks for posting, @billchao

My bag is an ever-changing combination of clubs. 

A mix I am forever tinkering with. 

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Posted

I love these type of problems where it seems so "straight forward" at a first glance, but when you actually think about it in detail, you realize the simple answer is not the right one.

Don

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Posted (edited)

This was so cool. I think one day somewhere out there, someone will come up with the  explanation of the 'golf paradox' too..😆

Whoever they are, I'm rootn for them.

Edited by GolfLug
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Vishal S.

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    • Day 610 - 2026-06-03 Got some work in between lessons today. Rare late day, teaching until 7:30pm.
    • Let's continue on… Cool. The thing is, nobody's claiming par is "reliable" and par's inclusion piggy-backs in the course rating, which is awfully close to par and, thus, brings par in to make it make sense. Once again, for those in the back… (CR - Par) just makes it really easy to know what kind of score you need to shoot to best, match, or play worse than your handicap index. Yes, when par is different, the players from the higher par tees get an extra stroke (72 vs. 71, the 72s get an extra stroke. That makes sense and is a small complication (more info at https://www.usga.org/content/usga/home-page/handicapping/roh/Content/rules/Committee%20Content/USGA/LG_R6d.htm). However, most of the time, this adjustment will not be needed, as many courses play to the same par for the same genders from all sets of tees. And, the rare times it is needed, par (measured in whole numbers, integers) and strokes (also whole numbers/integers) map easily and the idea is easily grasped. Dean seems to be unaware of the fact that most every golfer carries something orders of magnitude more powerful than the highest end desktop computers available the last time he consulted with the USGA in their pockets. While it is quaint that his club puts printouts by the first tee… get with the times, Dean. Look up your handicap index and course handicap in the GHIN app and get on with it. It's a better system than the one that didn't account — at all — for a difference in the playing conditions (via an algorithm, not a judgment). Dean's assertions about the "less precise system because of par" continues to make absolutely zero sense. Right, it still changed tee to tee. Now it just changes differently… and in a way that more accurately reflects the score you need to shoot to play to your handicap. Previously, a 1.1 index would get 1 stroke on a 66.7/122 par-72 course. Now they give four strokes back to the course and must shoot 68 to play to their handicap. This makes way more sense. The 18-shot difference is a pretty extreme example. Maybe a long course that also offers a par-three set of tees could play that long, but… man, that's not going to be super common. Sensationalistic much, Dean? Also, once those unhappy (complete assumption) golfers realize a) what the change shows them (playing to net par = playing to your index) and b) realizes that their differential is going to be the same… I think they'll get over their initial questions. No. And yet… if he shoots the same scores, he'll get the same handicap index he has now. But he'll know on each course what score he needs to shoot to "play to his handicap." Sheesh, Dean. This stuff isn't that hard to figure out. Enough with the sensationalistic stuff. I don't find it "unacceptable" at all. Then again, I'm not nearly 80 and seemingly incapable of doing basic math these days. No. This literally makes no sense, as that part of the differential calculation and the course handicap calculation remains identical. Good! No. Categorically wrong. They should have been adjusting their handicaps all along. Previously it was by subtracting the course ratings. Which… is still basically what's done, with the addition of the course rating being "baked in" to the course handicap calculation. Dean is wrong here, or doing some math heretofore unknown by the world. When par is the same, what determines the difference in handicaps? The course rating, which Dean loves! Sheesh! You had to things when players were in situations like this before, too. This is getting exhausting. He keeps using words like "less precise" and "unfair" but does not seem to understand what they mean. This is like the Princess Bride meme: "you keep using that word. I do not think it means what you think it means." The caps reduce upward movement. Committees have reign to reduce a player's handicap, and there's still an automatic Exceptional Score Reduction. I'm going through these more quickly now because… well, it's silly how badly Dean misses the mark with this blog post. Dean is literally confusing the upward movement (with the soft and hard caps) here with the exceptional score reduction which is used when lowering handicaps due to an exceptionally good score. The creators of the WHS are handicap experts. They know more about the current state of handicaps/handicapping than the Pope Emeritus. It's been shown to have almost no effect across all handicaps. Yes, some 36s under the old system are now 35s under the new system. Yawn. He should have stopped there. It's easier to apply and makes more sense. This makes no sense. It's "not complex" but players will have to guess? And, for men or women, the stroke index of each hole doesn't change because they play a different set of tees. They get a different number of strokes, but it's always been true that when you get 14 strokes you apply a stroke to stroke index holes 1-14, and when you get 11, to just holes with a SI of 1-11. Objection, your honor. Assumes facts not in evidence. Dean's just out here continuing to make shit up about "the inaccuracy of par" and ignoring that with Par (an integer) came the Course Rating, which he agrees is precise and accurate. No. No, this is inaccurate. Also, as noted, you can randomly assign stroke indexes, and so long as all the low numbers or all the high numbers are not clumped together at the beginning or ends of the 18 holes, matches generally work out the same. This is inaccurate. It is an algorithm that looks at scores. That's it. Also, this is better than a system like the prior one where no such thing existed at all. Wildly inaccurate and off-base. Did they do actual testing? No need. They have millions and millions of rounds and ran many, many, many simulations. That's testing. Dean seems to continue to be unaware of the fact that computers are more powerful now than they were in 2002. But, he's nearly 80, so we can understand if not going so far as to give him a pass on how much he gets wrong. Cool. Noted. For the most part that was because many countries haven't been able to rate enough of their courses. :sigh:
    • Day 3 (3 Jun 26) - More work on keeping arms connected today - hard foam balls with 7i and 5w…..
    • Day 274 6-3 flow drill getting chest through, arms in front. Arms get a little pinned to the side, not as much in front as I want them when I add speed. 
    • Shot 48 yesterday.  For me bogey golf is good.  I was 10 over through 7 and figured with a Par 3 and 4 coming on all I needed was birdie / par to get my 45. I had a great tee shot on #8 and sunk  a 5 footer for birdie, game was coming together, now just needed par on #9. Had a great tee drive and the green was within range for a hoped GIR or nGIR.  But I pulled the shot left into tall weeds and needed to take a drop.  So much for par, but a bogey for 46 is still good for me. I hit my lob wedge to get over a small tree and saw the ball riding nicely  on line to the pin when my club hit the ball a 2nd time on my follow through causing the ball to change directions and ended up @ pin high but along the same tall weeds I just took an unplayable out of.  had no room for a backswing, Just hacked at it and it shot across the green to the rough on the far side.  Needed a chip & 1 putt got a triple bogey. you can see the hole fall apart in the screenshot below.  
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