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Great replies guys - I really wanted the OP to be something which showed you how great you are when you hit a shot, even 5-10 yds left or right of where you aim. Its just not possible to hit the target line dead-on for every shot in a round - we sholdn't be trying to - and definitely shouldn't be berating ourselves when we don't!
I think I'm starting to understand that now after slipping from 12.8 to 13.7 in the last 9 months... |
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This is just a bit of basic trig that I've always wanted to work out, but never taken the time. ![]() |
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This is just a bit of basic trig that I've always wanted to work out, but never taken the time.
When I was a kid, my dad (who never played), got me interested in golf by telling me, while watching grainy Open footage back in the 70s, that golf is one of the most skillful games there is, because a millimetre of difference when you hit the ball, can be 20 yards difference when the ball arrives on the green. This always amazed me, and I've loved the sport ever since (though I've only really taken it up for the last few years). For some reason, I've never had the inclination to actually work out how accurate the club has to be positioned to hit the perfect shot. Now my maths isn't the best, and I'm assuming the conditions of no wind, and no sidespin at all to shape the shot, but here goes: For a 150yd shot, hit 5yds left or right of the target, the ball is set off at around 2 degrees from the target line. This seemed quite generous to me, but of course, thats a triangle with a 150 yard 'adjacent' side. At the club face though, given a 2" sweetspot on the face, the outer left or right edge of that sweetspot is only - 0.03" from perfect !!! So when you hit that shot into the middle of a green from 150 yards, congratulate yourself - you have just steered a piece of metal at approaching 100mph to a position where the edge of the hitting area is within 0.75mm of where you want it to be. |
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#10 |
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This is just a bit of basic trig that I've always wanted to work out, but never taken the time. |
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#11 |
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This is just a bit of basic trig that I've always wanted to work out, but never taken the time. |
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#12 |
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Now the real question, how much does a driver depend on this?
Assuming a straight drive of 280 yds, if you hit the ball with the face open just slightly to 2*, you are guaranteed to be 10 yards to the right of where you aimed. Increase that angle to 5* and you are now 25 yards right. Now, this is just blocking the ball and hitting it straight. Lets take a look at what happens with an out to in swing on top of that. Knowing the ball velocity and the circumference of the golf ball the theoretical spin rate can be calculated as: spin rate in rpm = (bv / c) /60 c = .043m bv = 5/7 f v sin 0 Both top spin and side spin are used to produce a ratio of the true spin rpm and direction i.e. if top spin = 3600 rpm at 0* and side spin = 900 rpm at 90* (right) then ratio = 900:3600 = 0.25 Assuming a ratio of 1:1 would result in a spin direction of 45* then spin direction = 45* * 0.25 = 11.25* So your angle now grows from 5* to 16.25* which results in 82.94 off course. Gives new meaning to "I hit it 300 yards, 200 straight and 100 right." |
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Now the real question, how much does a driver depend on this? |
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