Now that some members of the golf industry
are selling drivers which do not conform to the U.S. Golf Association's
limit for a club head's coefficient of restitution, two things are certain
to happen. First, you will hear promises of these clubs hitting the
ball 30 yards to 50yards farther; and secondly, your customers' eyes
will glaze a the sound of the words, 'coefficient of restitution.'
Ko-uh-fish
er, ah, what did you
say?
I may sound like a broker record, but there is NO BETTER WAY to build
and cement your reputation as the maker of the best clubs in your area
than to perpetuate your role as equipment expert. And the only way to
become the number one source of equipment information is to learn and
dispense the truth about equipment trends to every golfer.
The year's latest equipment trend are
the 'hot face' drivers - the illegal drivers, or rather, those which
exceed the USGA's maximum allowed limit for a clubhead's coefficient
of restitution (COR). Because the USGA's COR limit only exists in the
United States, Canada and Mexico, companies making non-conforming drivers
can sell them in all the other countries where the Royal & Ancient
has rulesmaking jurisdiction.
This May, when some of these hot drivers
went into play on the European and Asian professional tours, there were
initial press reports that players like Colin Montgomery and Eduardo
Romero Instantly gained 30 yards off the tee. In another test conducted
and circulated by a newspaper in Edinburgh, Scotland, involved a test
group of six golfers with handicaps ranging form zero to 22. Comparing
the hitting ability of the non-conforming driver to their own driver
at a driving range, the distance increases of the non-conforming driver
reportedly ranged from 25 yards up to one golfer's claim of 50 yards!
There is no better way to tantalize
a golfer than with an image of greater distance simply by purchasing
a new piece of equipment. The golf industry has known that for years
so providing printed reports of such claims is quite literally like
dropping a match on gasoline.
No doubt, serious clubmakers have fielded
many questions about this topic as well as acted as a referee in debates
about the truth of fiction surrounding distance claims form these non-conforming
clubs.
Therefore, I do not wish to pour water
on the flames and damper enthusiasm for equipment, but rather I like
to set the record straight and dispense the real facts surrounding exactly
what it is these clubs can and cannot deliver.
It is no myth that thin-faced drivers
that are engineered properly can deliver greater ball velocity and with
it, more distance. The right thin-face driver hits the ball farther,
but only if it is properly engineered and selected for the specific
type of golfer.
Hot-face technology only works when
the golfer causes the clubface to deflect inward just short of face
collapse. When this happens, the ball does not squash as much against
the face during that 45 milliseconds of impact. If the ball deformation
is reduced, less energy in the collision is lost and the ball velocity
increases, i.e. more distance, along with a distinctly 'hotter feel'
of the ball leaving the face.
The USGA has chosen to use this principle
of physics (COR) to compare the energy loss at impact and limit the
efficiency of the energy transfer. Simply stated, the COR is a numerical
comparison of the elastic nature of an impact between two bodies. A
perfectly elastic collision in which no energy is lost has a COR value
of 1.0. In contrast, if all energy is lost in the impact, the COR has
a designation of zero.
In the impact between the clubhead
and the ball, it is impossible to achieve a perfectly elastic collision,
or 1.0 COR, because the ball's weight and the clubhead's weight will
never be the same. Golfing purists should not worry about drivers ever
hitting the balls 20 yards to 30 yards farther simply due to a high
COR. The laws of physics prevents this from happening, even with materials
yet to be discovered.
Before the arrival of titanium and
before modern thin-face technology surfaced, the sub-200cc to 230cc-sized
stainless steel metal drivers possessed COR 0.70 to 0.78. In response
to a perceived attack by 'hot drivers' on the game's integrity, the
USGA ordained their absolute COR limit for clubhead to be 0.83. If the
current crop of non-conforming forged titanium drivers have COR in the
range of 0.85, how much more can such a driver truly generate in terms
of real distance?
Answer that question requires an understanding
of COR physics, which can be explained in simple mathematical terms.
(Even though you are about to be presented with math formulas and examples,
don't stop reading. Yours customers will think you're a genius when
you explain the coefficient of restitution.)
First, obtain the COR by multiplying
the ratio of the ball velocity to the clubhead speed times a value of
one plus the ratio of the ball weight to the weight of the clubhead.
In short

Here's an example. A customer can hit
his driver with a swing speed of 95mph. The launch monitor indicated
the ball velocity off the face at 143mph. The ball weights 1.62oz and
the clubhead weight is 202 grams. (Yes, after you added weight to swingweight
the club. One thing about math formulas is they insist that you use
common units, so let's do that.) So, 1.62oz equal 0.10125lbs., and 202
grams equals 0.445 lbs. Use miles per hour for ball and clubhead velocities.

In the above equation, the COR equal
0.848.
To better understand what makes the
COR go up and down, look at the math formula. If the ball velocity rises
while the clubhead speed stays the same in relation, the COR increases.
This is because the higher the ball velocity for the same swing speed,
the greater the shot distance. Changing the ball velocity just 2mph
can change the COR by 0.026!
Consider this; prior to thin-face drivers,
few oversize titanium drivers had a COR higher than 0.800. The USGA's
maximum clubhead COR limit is 0.830, thus, to make a design change which
resulted in the same golfer gaining only 2mph in ball velocity with
a 0.800 COR driver would put the head on the threshold of non-conformance!
Take a look at the role of headweight
and ball weight in the following ball velocity formula. If headweight
becomes lighter while the swing speed and ball velocity ratio stays
at same, the COR increases. If the ball was heavier, the COR would increase
as well. This is one of the reasons why the USGA and R&A have a
maximum weight limit for balls. Remember, the higher the head's COR,
the greater potential for distance increase
but in truth, how much
is that distance increase in real terms?
Because the ball's velocity off the
face is enhanced by spring-face designs, and because ball velocity had
an important effect on shot distance, the best way to relate to the
COR;s effect on distance is to learn how the COR affects the ball velocity
off the face. Just shift the COR formula around to find the ball velocity
for any club

For example, the COR and the golfer's
swing speed affect ball velocity off the face. Look at a golfer with
a 100mph swing speed with conventional driver with a 0.800 COR. The
ball is constant at 1.62oz (0.10125ibs) and the headweight is 202 grams
(0.445lbs)

To put in simple terms -speaking only
about COR and not taking into effect differences in spin rate and launch
angle - if a golfer with a 100mph driver swing speed hits a conforming
ball with a driver with a 202 grams headweight and with a 0.800, the
ball velocity off the face equals 146.64 mph. What happens when this
golfer switched to a non-conforming hot face driver with a 0.850 COR?

With all other things being equal,
if the same golfer with the 100mph swing speed uses an illegal driver,
he generates a ball velocity that is 4.07mpn faster than with normal
driver. Given an approximation of 1.6 yards or each mph of ball velocity,
the illegal driver yields 6.51 yards more in distance.
But not very many customers can swing
the driver at 100mph. So, what happens of a golfer with a swing speed
of 90mph, 80mph or 70mph uses the same normal and hot drivers with the
right shaft and other fitting specifications to meet their swing needs?
Using same ball velocity formula above, change the swing speed from
100mph to the three other examples. And just for fun, take a look at
a tour player swing of 120mph as well.

Clearly the physics of the coefficient
of restitution shows a number of points that most golfers, including
the members of the USGA and R&A rules-making committees may not
understand:
One, the higher a golfer's swing speed,
the more distance increase can be realized from an illegal driver; Two,
the real carry distance increase of an illegal driver with a 0.850 COR
- which is in the range of what the current non-conforming drivers display
- is greater for the higher swing speed golfers than it is for the slower
swing speed golfer;
Three, figures indicated that the distance
increase gained from non-conforming driver on the USGA's current list
is less than 10 yards for a long-hitting tour player, and less than
five yards for an average golfer, only if the rest of the club's specification
are proper fit.
Customers will still ask about claims
of increased distance so clubmakers must have answer that carries more
weight than, "believe me, the math is right."
Overall distance differences between
any clubs can only be fairly evaluated when only one variable of the
clubs is compared. When a tour player changes from an existing driver
to a non-conforming driver, there are a number of specifications that
may change in addition to the COR, including center of gravity location,
spin rate, launch angle, loft, roll and shaft specifications.
Golf equipment scientists also know
that roll is so subjective in any hit that it can never be included
in the comparison. Scientists are only beginning to understand the relationship
of enter of gravity, loft face thickness, point of face impact to the
launch angle and spin rate.
A change of just a couple of degrees
in the launch angle and 500rpms of backspin can mean a huge change in
a driver's carry distance, factors which golfers are unable to account
for in any COR comparison.
In real-life, Golf Digest (May 2000)
asked Nick Price to compare the carry distance of a non-conforming Callaway
ERC driver to his current driver. While the magazine did not isolate
all variables, their testing showed a carry distance increase with the
ERC of about 6 yards.
The distance increase possible from
a clubhead with a higher COR is real. Compared to other distance-promising
golf club developments in the last 20 years, this one is more definite
than any other, including graphite shafts.
But there still remains one major developments
than can over-shadow even the higher COR clubhead in terms of real game
improvement - proper fitting of every golf specification to a golfer's
playing characteristics.
And, if clubmakers spend time studying
the principle of custom fitting, it's nice to know that they could have
a 'sure thing' in their back pocket in the form of a higher COR driver.
It will add to their fitting expertise and deliver more distance and
more golf enjoyment to their customers.
Philip Ang, 1999-2000 Winner International Clubmaker of the
Year
conferred by Golf Clubmakers Association (GCA) - USA compiles this article from Golfsmith Tech
Report.
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