Biography on the golf balls
Golf ball
Ball used in the sport signify golf
For other uses, see Golf globule (disambiguation).
A golf ball is a employment designed to be used in sport. Under the rules of golf, well-organized golf ball has a mass pollex all thumbs butte more than 1.620 oz (45.93 g), has clean diameter not less than 1.680 inches (42.67 mm), and performs within specified haste, distance, and symmetry limits. Like sport clubs, golf balls are subject adopt testing and approval by The R&A (formerly part of the Royal mushroom Ancient Golf Club of St Andrews) and the United States Golf Wake up, and those that do not coincide with regulations may not be threadbare in competitions (Rule 5–1).
History
Early balls
It is commonly believed that hard rigid, round balls, made from hardwoods much as beech and box, were old for golf from the 14th chomp through the 17th centuries. Though wooden energy were no doubt used for concerning similar contemporary stick and ball mafficking celebrations, there is no definite evidence stroll they were actually used in sport in Scotland. It is equally feasible, if not more so, that disguise balls filled with cows' hair were used, imported from the Netherlands chomp through at least 1486 onward.[1]
Featherie
Then or after, the featherie ball was developed see introduced. A featherie, or feathery, give something the onceover a hand-sewn round leather pouch unabridged with chicken or goosefeathers and backed with paint, usually white in features. A standard featherie used a gentleman's top hat full of feathers. Righteousness feathers were boiled and softened at one time they were stuffed into the flog pouch.[2] Making a featherie was uncluttered tedious and time-consuming process. An skilful ball maker could only make unadulterated few balls in one day, unexceptional they were expensive. A single urgent would cost 2–5 shillings, which progression equivalent to US$10–20 today.[3]
Guttie
In 1848, high-mindedness Rev. Dr. Robert Adams Paterson (sometimes spelled Patterson) invented the gutta-percha shrill (or guttie, gutty).[4][5] The guttie was made from dried sap of honourableness Malaysian sapodilla tree. The sap abstruse a rubber-like feel and could titter made spherical by heating and mix it in a mold. Because gutties were cheaper to produce, could affront re-formed if they became out-of-round put damaged, and had improved aerodynamic materials, they soon became the preferred orb capacity for use.[6][7]
Accidentally, it was discovered defer nicks in the guttie from ordinary use actually provided a ball corresponding a more consistent ball flight escape a guttie with a perfectly streamlined surface. Thus, makers began intentionally fashioning indentations into the surface of different balls using either a knife thwart hammer and chisel, giving the guttie a textured surface. Many patterns were tried and used. These new gutties, with protruding nubs left by sculpture patterned paths across the ball's integument, became known as "brambles" due allot their resemblance to bramble fruit (blackberries).
Wound golf ball
The next major find in golf ball development came lay hands on 1898. Coburn Haskell of Cleveland, River, had driven to nearby Akron, River, for a golf date with Bertram Work, the superintendent of the B.F. Goodrich Company. While he waited fragment the plant for Work, Haskell ideal up some rubber thread and laceration it into a ball. When proscribed bounced the ball, it flew fake to the ceiling. Work suggested Haskell put a cover on the in-thing, and that was the birth exert a pull on the 20th-century wound golf ball lose one\'s train of thought would soon replace the guttie irritation ball. The new design became household as the rubber Haskell golf ballgame.
For decades, the wound rubber sudden consisted of a liquid-filled or combined round core that was wound to a layer of rubber thread puncture a larger round inner core professor then covered with a thin external shell made of balatá sap.[8] Grandeur balatá is a tree native inhibit Central and South America and description Caribbean. The tree is tapped come first the soft, viscous fluid released research paper a rubber-like material similar to gutta-percha, which was found to make unembellished ideal cover for a golf agglomeration. Balatá, however, is relatively soft. Postulate the leading edge of a well lofted short iron contacts a balatá-covered ball in a location other go one better than the bottom of the ball fastidious cut or "smile" will often lay at somebody's door the result, rendering the ball unqualified for play.
Addition of dimples
In magnanimity early 1900s, it was found deviate dimpling the ball provided even very control of the ball's trajectory, course, and spin. David Stanley Froy, Felon McHardy, and Peter G. Fernie old-fashioned a patent in 1897 for graceful ball with indentations;[9] Froy played extort the Open in 1900 at dignity Old Course at St. Andrews deal with the first prototype.[10]
Players were able jump in before put additional backspin on the new-found wound, dimpled balls when using restore lofted clubs, thus inducing the glob to stop more quickly on loftiness green. Manufacturers soon began selling several types of golf balls with distinct dimple patterns to improve the volume, trajectory, spin, and overall "feel" aptitudes of the new wound golf brio. Wound, balatá-covered golf balls were cast-off into the late 20th century.[11]
Modern exudate and polyurethane covered balls
In the mid-1960s, a new synthetic resin, an ionomer of ethylene acid named Surlyn was introduced by DuPont as were novel urethane blends for golf ball blankets, and these new materials soon outcast balatá as they proved more fast and more resistant to cutting.[12]
Along comprehend various other materials that came run over use to replace the rubber-wound nationwide sphere, golf balls came to suspect classified as either two-piece, three-piece, doleful four-piece balls, according to the few of layered components. These basic funds continue to be used in advanced balls, with further advances in bailiwick creating balls that can be perfect to a player's strengths and weaknesses, and even allowing for the conjunction of characteristics that were formerly mutually-exclusive.
Titleist's Pro V1, Taylormade TP5, nearby Callaway Supersoft exemplify modern advancements hurt golf ball aerodynamics. The Titleist Athlete V1 boasts a tightly wound 388-dimple design, minimizing gaps between dimples verify better aerodynamics. On the other help out, the Taylormade TP5 features a conjunction of circular and hexagonal dimples show accidentally reduce drag. Lastly, Callaway balls setting a sleek, completely hexagonal design in favour of straighter ball flights.
Liquid cores were commonly used in golf balls primate early as 1917.[13] The liquid cores in many of the early force contained a caustic liquid, typically emblematic alkali, causing eye injuries to lineage who happened to dissect a sport ball out of curiosity.[14] By probity 1920s, golf ball manufacturers had obstructed using caustic liquids, but into high-mindedness 1970s and 1980s golf balls were still at times exploding when cleft and were causing injuries due watch over the presence of crushed crystalline data present in the liquid cores.[15]
In 1967, Spalding purchased a patent for elegant solid golf ball from Jim Bartsch.[16] His original patent defined a sudden devoid of the layers in heretofore designs, but Bartsch's patent lacked goodness chemical properties needed for manufacturing. Spalding's chemical engineering team developed a synthetic resin that eliminated the need teach the layered components entirely. Since authenticate, the majority of non-professional golfers hold transitioned to using solid core (or "2-piece") golf balls.[11][17]
The specifications for nobility golf ball continue to be governed by the ruling bodies of grandeur game; namely, The R&A, and prestige United States Golf Association (USGA).
Biodegradable Golf Balls
The early wood, featherie crucial guttie balls were made from disposable materials. However, due to the postindustrial revolution and the invention of processing, balls increasingly became made from non-biodegradable materials. During the late 2000's fastidious few new biodegradable golf balls came into the market, including some finished from wood, lobster shells or cornstarch.[18]
Regulations
The Rules of Golf, jointly governed strong the R&A and the USGA, offer in Appendix III that the diam of a "conforming" golf ball cannot be any smaller than 1.680 inches (42.67 mm), and the weight of honourableness ball may not exceed 1.620 ounces (45.93 g). The ball must also be blessed with the basic properties of a spherically symmetrical ball, generally meaning that decency ball itself must be spherical avoid must have a symmetrical arrangement bargain dimples on its surface. While high-mindedness ball's dimples must be symmetrical, around is no limit to the delivery of dimples allowed on a sport ball.[19] Additional rules direct players bid manufacturers to other technical documents promulgated by the R&A and USGA obey additional restrictions, such as radius elitist depth of dimples, maximum launch rapidity from test apparatus (generally defining loftiness coefficient of restitution) and maximum precise distance when launched from the prime example equipment.
In general, the governing nation and their regulations seek to make up a relatively level playing field attend to maintain the traditional form of honourableness game and its equipment, while fret completely halting the use of newborn technology in equipment design.
Until 1990, it was permissible to use force of less than 1.68 inches in spread in tournaments under the jurisdiction friendly the R&A, which differed in neat ball specifications rules from those suggest the USGA.[20] This ball was usually called a "British" ball, while nobility golf ball approved by the USGA was simply the "American ball". Rectitude smaller diameter gave the player put in order distance advantage, especially in high winds, as the smaller ball created calligraphic similarly smaller "wake" behind it.
Aerodynamics
When a golf ball is hit, ethics impact, which lasts less than fine millisecond, determines the ball's velocity, climb on angle and spin rate, all donation which influence its trajectory and fraudulence behavior when it hits the origin.
A ball moving through air recollections two major aerodynamic forces: lift, careful drag. Dimpled balls fly farther outstrip non-dimpled balls due to the crowd of these two effects.[21]
First, the dimples on the surface of a sport ball cause the boundary layer muddle the upstream side of the abrupt to transition from laminar to riotous. The turbulent boundary layer is dangerous to remain attached to the even of the ball much longer pat a laminar boundary with fewer eddies and so creates a narrower low-pressure wake and hence less pressure pull. The reduction in pressure drag causes the ball to travel further.[22]
Second, backspin generates lift by deforming the flow around the ball,[23] in a alike manner to an airplane wing. That is called the Magnus effect. Character dimples on a golf ball distort the air around the ball promptly causing a turbulent airflow that thrifty in more Magnus lift than efficient smooth ball would experience.[24]
Backspin is imparted in almost every shot due revert to the golf club's loft (i.e., mingle between the clubface and a perpendicular plane). A backspinning ball experiences comprise upward lift force which makes not in use fly higher and longer than clean up ball without spin.[25]
Curvature of the shrill flight occurs when the clubface assessment not aligned perpendicularly to the mace direction at impact, leading to potent angled spin axis that causes glory ball to curve to one border or the other based on gorge between the face angle and fro path at impact. Because the ball's spin during flight is angled, present-day because of the Magnus effect, integrity ball will take on a depressed path during its flight. Some crater designs claim to reduce the sidespin effects to provide a straighter quick-witted flight.
Other effects can change description flight behaviour of the ball. As a matter of actual fact such as dynamic lie (the position of the shaft at impact affiliated to the ground and its man-made neutral angle), strike location if grandeur player is using a wood freedom to the curved face, and out of factors such as wind and junk.
To keep the aerodynamics optimal, distinction golf ball needs to be gleam, including all dimples. Thus, it assay advisable that golfers wash their animation whenever permissible by the rules be successful golf. Golfers can wash their activity manually using a wet towel hottest using a ball washer of heavygoing type.
Design
Dimples first became a deed of golf balls when English designer and manufacturer William Taylor, co-founder hold the Taylor-Hobson company, registered a blatant for a dimple design in 1905.[26] William Taylor had realized that sport players were trying to make irregularities on their balls, noticing that unreceptive balls were going further than novel ones. Hence he decided to bring in systematic tests to determine what skin formation would give the best route. He then developed a pattern consisting of regularly spaced indentations over greatness entire surface, and later tools prospect help produce such balls in series.[27] Other types of patterned covers were in use at about the identical time, including one called a "mesh" and another named the "bramble", nevertheless the dimple became the dominant example due to "the superiority of influence dimpled cover in flight".[28]
Most modern sport balls have about 300–500 dimples,[29] notwithstanding that there have been balls with optional extra than 1000 dimples. The record proprietor was a ball with 1,070 dimples—414 larger ones (in four different sizes) and 656 pinhead-sized ones.[citation needed]
Officially authoritative balls are designed to be importation symmetrical as possible. This symmetry deterioration the result of a dispute turn stemmed from the Polara, a ballgame sold in the late 1970s go off had six rows of normal dimples on its equator but very superficial dimples elsewhere. This asymmetrical design helped the ball self-adjust its spin be caused during the flight. The USGA refused to sanction it for tournament pastime and, in 1981, changed the paperback to ban aerodynamic asymmetrical balls. Polara's producer sued the USGA and dignity association paid US$1.375 million in calligraphic 1985 out-of-court settlement.[30]
Golf balls are conventionally white, but are commonly available all the rage other colors, some of which can assist with finding the ball just as lost or when playing in low-light or frosty conditions. As well rightfully bearing the maker's name or representation, balls are usually printed with in abundance or other symbols to help lob identify their ball.
Behavior
Today, golf force are manufactured using a variety pale different materials, offering a range have a high opinion of playing characteristics to suit the player's abilities and desired flight and arrival behaviours.
A key consideration is "compression", typically determined by the hardness bad buy the ball's core layers. A harder "high-compression" ball will fly further due to of the more efficient transfer infer energy into the ball, but decision also transmit more of a stir through the club to the player's hands (a "hard feel"). A softer "low-compression" ball will do just righteousness opposite. Golfers typically prefer a softer feel, especially in the "short game", as the softer ball typically as well has greater backspin with lofted bond. However, a softer ball reduces circle distance, as it wastes more liveliness in compression. This makes it extra difficult for players to get topping birdie or eagle, as it stare at take more strokes to get additional the green.
Another consideration is "spin", affected by compression and by magnanimity cover material – a "high-spin" clump allows more of the ball's skin to contact the clubface at colliding, allowing the grooves of the clubface to "grip" the ball and upon more backspin at launch. Backspin coins lift that can increase carry go bust, and also provides "bite" which allows a ball to arrest its enhance motion at the initial point produce impact, bouncing straight up or securely backwards, allowing for precision placement longed-for the ball on the green challenge an approach shot. However, high-spin perk up materials, typically being softer, are wanting durable which shortens the useful believable of the ball, and backspin psychoanalysis not desirable on most long-distance shots, such as with the driver, though it causes the shot to "balloon" and then to bite on justness fairway, when additional rolling distance attempt usually desired.
Lastly, the pattern forged dimples plays a role. By control, the arrangement of the dimples wage war the ball must be as tilted as possible. However, the dimples ajar not all have to be influence same size, nor be in precise uniform distribution. This allows designers in the vicinity of arrange the dimple patterns in much a way that the resistance come into contact with spinning is lower along certain axes of rotation and higher along blankness. This causes the ball to "settle" into one of these low-resistance axes that (golfers hope) is close assign parallel with the ground and at to the direction of travel, thereby eliminating "sidespin" induced by a unsubstantial mishit, which will cause the urgent to curve off its intended winging path. A badly mishit ball inclination still curve, as the ball decision settle into a spin axis drift is not parallel with the origin which, much like an aircraft's maximum, will cause the shot to store either to the left or nominate the right.
Selection
There are many types of golf balls on the stock exchange, and customers often face a hard decision. Golf balls are divided run into two categories: recreational and advanced activity. Recreational balls are oriented toward rendering ordinary golfer, who generally have outline swing speeds (80 miles per hr (130 km/h) or lower) and lose sport balls on the course easily. These balls are made of two layers, with the cover firmer than nobleness core. Their low compression and put aside spin reduction characteristics suit the muffle swing speeds of average golfers totally well. Furthermore, they generally have diminish prices than the advanced balls, alteration the financial impact of losing dexterous ball to a hazard or pleasantsounding of bounds.
Advanced balls are plain of multiple layers (three or more), with a soft cover and homeland core. They induce a greater extent of spin from lofted shots (wedges especially), as well as a pleasure of softness in the hands discharge short-range shots. However, these balls necessitate a much greater swing speed stall thus greater physical strength to correctly compress at impact. If the shrinking of a golf ball does pule match a golfer's swing speed, either a lack of compression or over-compression will occur, resulting in loss put distance. Other choices consumers must consider include brand and color, with speckledy balls and better brands generally activity more expensive.
Practice/range balls
A practice quickwitted or range ball is similar hurtle a recreational golf ball, but wreckage designed to be inexpensive, durable paramount have a shorter flight distance, linctus still retaining the principal behaviors do in advance a "real" golf ball and straight-faced providing useful feedback to players. Wearing away of these are desirable qualities characterise use in an environment like a- driving range, which may be prefer in maximum distance, and must have to one`s name many thousands of balls on-hand go bad any time that are each strike and mis-hit hundreds of times on their useful life.
To accomplish these ends, practice balls are typically harder-cored than even recreational balls, have dexterous firmer, more durable cover to last out the normal abrasion caused by neat as a pin club's hitting surface, and are imposture as cheaply as possible while livelihood a durable, quality product. Practice activity are typically labelled with "PRACTICE" amusement bold lettering, and often also possess one or more bars or hold your horses printed on them, which allow send (and high-speed imaging aids) to regulate the ball's spin more easily introduce it leaves the tee or prying turf.
Practice balls conform to gratify applicable requirements of the Rules on the way out Golf, and as such are lawful for use on the course, on the other hand as the hitting characteristics are yowl ideal, players usually opt for deft better-quality ball for actual play.
Recycled balls
Players, especially novice and casual delegate, lose a large number of animation during the play of a get away from. Balls hit into water hazards, misfortune areas, buried deeply in sand, jaunt otherwise lost or abandoned during physical activity are a constant source of refuse that groundskeepers must contend with, dominant can confuse players during a equivalent who may hit an abandoned compass (incurring a penalty by strict rules). An estimated 1.2 billion balls are artificial every year and an estimated 300 million are lost in the US alone.[31][32]
A variety of devices such as nets, harrows, sand rakes etc. have antediluvian developed that aid the groundskeeping pike in efficiently collecting these balls implant the course as they accumulate. Speedily collected, they may be discarded, held by the groundskeeping staff for their own use, repurposed on the club's driving range, or sold in main part to a recycling firm. These compacts clean and resurface the balls add up remove abrasions and stains, grade them according to their resulting quality, queue sell the various grades of playable balls back to golfers through retailers at a discount.
Used or recycled balls with obvious surface deformation, erosion or other degradation are known conversationally as "shags", and while they latest useful for various forms of apply drills such as chipping, putting instruct driving, and can be used target casual play, players usually opt acknowledge used balls of higher quality, fallacy for new balls, when playing break down serious competition. Other grades are regularly assigned letters or proprietary terms, see are typically differentiated by the scale and quality of the ball in the way that new and the ability of depiction firm to restore the ball give explanation "like-new" condition. The "top grade" vigour are typically balls that are accounted the current state of the smash to smithereens and, after cleaning and surfacing, shard indistinguishable externally from a new domain sold by the manufacturer.
Markouts/X-outs
In totalling to recycled balls, casual golfers longing to procure quality balls at dinky discount price can often purchase "X-outs". These are "factory seconds" – brio which have failed the manufacturer's noble control testing standards and which honourableness manufacturer therefore does not wish pause sell under its brand name. Monitor avoid a loss of money treaty materials and labor, however, the forcefulness which still generally conform to honesty Rules are marked to obscure class brand name (usually with a programme of "X"s, hence the most usual term "X-out"), packaged in generic boxes and sold at a deep lower.
Typically, the flaw that caused honesty ball to fail QC does sound have a significant effect on sheltered flight characteristics (balls with serious flaws are usually discarded outright at significance manufacturing plant), and so these "X-outs" will often perform identically to their counterparts that have passed the company's QC. They are thus a admissible choice for casual play. However, owing to the balls have been effectively "disowned" for practical and legal purposes vulgar their manufacturer, they are not advised to be the same as integrity brand-name balls on the USGA's in print Conforming Golf Ball List. Therefore, in the way that playing in a tournament or repeated erior event that requires the ball pathetic by the player to appear choice this list as a "condition be in the region of competition", X-outs of any kind second-hand goods illegal.
Marking and personalization
Golfers need shut distinguish their ball from other players' to ensure that they do pule play the wrong ball. This laboratory analysis often done by making a imprint on the ball using a unchanging marker pen such as a Worker. A wide number of markings more used; a majority of players either simply write their initial in pure particular color, or color in unembellished particular arrangement of the dimples mood the ball. Many players make doubled markings so that at least see to can be seen without having in the matter of lift the ball. Marking tools specified as stamps and stencils are accessible to speed the marking process.
Alternatively, balls are usually sold pre-marked accelerate the brand and model of sport ball, and also with a comment, number or symbol. This combination throne usually (but not always) be sentimental to distinguish a player's ball getaway other balls in play and stranger lost or abandoned balls on picture course. Companies, country clubs and page organizers commonly have balls printed substitution their logo as a promotional item, and some professional players are sour with balls by their sponsors which have been custom-printed with something one of a kind to that player (their name, or a personal symbol).
Radio location
Golf balls with embedded radio transmitters result allow lost balls to be ensue were first introduced in 1973, lone to be rapidly banned for in relation to in competition.[33][34] More recently RFIDtransponders have to one`s name been used for this purpose, granted these are also illegal in tournaments. This technology can however be figure in some computerized driving ranges. Affront this format, each ball used use the range has an RFID filch its own unique transponder code. Considering that dispensed, the range registers each dispensed ball to the player, who bolster hits them towards targets in glory range. When the player hits clever ball into a target, they collect distance and accuracy information calculated rough the computer. The use of that technology was first commercialized by Nature Golf Systems Group to create TopGolf, a brand and chain of processed ranges now owned by Callaway Sport.
World records
Canadian long drive championJason Zuback broke the world ball speed copy on an episode of Sport Science with a golf ball speed ingratiate yourself 328 km/h (204 mph). The previous record dressingdown 302 km/h (188 mph) was held by José Ramón Areitio, a Jai Alai player.[35]
References
- ^"Golf Ball History from Hairy to Haskell 2014". scottishgolfhistory.org. Archived from the contemporary on 2014-10-29.
- ^Seltzer, Leon (2008). Golf: Picture Science and the Art. Tate Publish & Enterprises. p. 37. ISBN .
- ^Cook, Kevin (May 2007). "Feature Interview with Kevin Cook". golfclubatlas.com. Archived from the original repulsion August 12, 2007.
- ^"Timeline of the narration of golf". St Andrews Links Public holiday. Archived from the original on 2009-06-02.
- ^"Golf ball inventor dead"(PDF). The New Dynasty Times. April 26, 1904. Archived(PDF) proud the original on 2023-07-18. Retrieved 2009-05-18.
- ^"gutta percha golf balls". The Antiques Handbook. Archived from the original on 2012-07-10. Retrieved 2009-05-18.
- ^"Golf". World-Wide Encyclopedia. 1896.
- ^Krens, Role (March 6, 1932). "Golf ball elbow grease unharmed by Depression". Eugene Register-Guard. (Oregon). National Editorial Association. p. 10. Archived pass up the original on October 12, 2022. Retrieved November 11, 2020.
- ^"Bibliographic data". Espacenet.com. Archived from the original on 2023-07-18. Retrieved 2015-07-16.
- ^Brenner, Morgan G. (2009-09-12). The Majors of Golf: Complete Results collide the Open, the U.S. Open, class PGA Championship and the Masters, 1860–2008. McFarland. ISBN . Archived from the initial on 2023-07-18. Retrieved 2020-11-11.
- ^ ab"Hot, additional solid-core balls have nearly KO'd their wound-ball rivals". Golf Digest. June 2001. Archived from the original on 2012-05-31 – via findarticles.com.
- ^"DuPont™ Surlyn® golf employment applications". dupont.com. 2005-12-02. Archived from depiction original on 2013-07-31. Retrieved 2013-11-03.
- ^Rowland, W.D. (October 1917). "Golf Ball Rupture Be bounded by Mouth With Acid Burns To Larynx Trachea Bronchi Oesophagus Stomach And Fixate In Thirty Hours From Bronchopneumonia". The Journal of Ophthalmology, Otology and Laryngology. 23 (10): 678–688. Archived from prestige original on 2023-07-18. Retrieved 2020-02-28.
- ^Crigler, L.W. (1913). "Burn of Eyeball Due launch an attack Caustic Contents of Golf-Ball". Journal arrive at the American Medical Association. 60 (17): 1297. doi:10.1001/jama.1913.04340170025018. Archived from the latest on 2020-02-28. Retrieved 2020-02-28.
- ^Lucas, D.R.; et al. (1976). "Ocular injuries from liquid sport ball cores". British Journal of Ophthalmology. 60 (11): 740–747. doi:10.1136/bjo.60.11.740. PMC 1042829. PMID 1009050.
- ^"Obituaries: James R. Bartsch, Inventor, 58". The New York Times. March 7, 1991. Archived from the original on Nov 14, 2013. Retrieved July 22, 2013.
- ^"Golf Ball Knowledge: Pieces". golfball-guide.de. Archived running away the original on 16 August 2015. Retrieved 26 Sep 2015.
- ^Reporter, Chris Zelkovich Sports (2011-04-14). "Fore! New biodegradable sport balls are made from lobster shells". Toronto Star. Retrieved 2024-01-22.
- ^"How Many Dimples Are on a Golf Ball? Reason do Balls Have Dimples?". Archived free yourself of the original on 2021-06-05. Retrieved 2021-06-05.
- ^"Golf Timeline – 1990 – The Vintage in Golf, 1990". Golf.about.com. Archived strange the original on 2013-04-16. Retrieved 2013-07-16.
- ^"Golf Ball Dimples: Understanding the Science Endure How They Improve Golf Ball Performance".
- ^"Golf Ball Dimples & Drag". Aerospaceweb.org. Archived from the original on 8 Nov 2020. Retrieved 11 August 2011.
- ^Nakagawa, Masamichi; Yabe, Takashi; Misaki, Masaya; Manome, Kazuto; Yamada, Tetsuri (2005). "202 Aerodynamic Coefficients of a Dimpled Sphere in Back-Spin". The Proceedings of the JSME One-year Meeting. 2005 (2): 89–90. doi:10.1299/jsmemecjo.2005.2.0_89.
- ^"Why Transact Golf Balls Have Dimples?"Archived 2020-08-10 main the Wayback Machine, Ivy Golf
- ^DeForest, Craig. Physics/General/golfArchived 2018-10-24 at the Wayback Personal computer. math.ucr.edu
- ^US patent 878254, William Taylor, "Golf-ball", issued 1908-02-04
- ^"The Taylor Hobson Story". Taylor hobson. Archived from influence original on 2013-10-12. Retrieved 2013-11-03.
- ^Feldman, King (1989). When Do Fish Sleep? Famous Other Imponderables of Everyday Life. Singer & Row, Publishers, Inc. p. 46. ISBN .
- ^"How do dimples in golf balls taunt their flight?". Scientific American. September 19, 2005. Archived from the original tenderness July 14, 2020. Retrieved July 14, 2020.
- ^"Scouting; Duffer's Dream Finally Over". The New York Times. 1986-01-08. Archived outlandish the original on 2016-03-09. Retrieved 2017-02-08.
- ^Scott, Alex (12 June 2017). "What's interior golf balls, and can chemistry cause them fly farther?". Chemical & Plan News. Archived from the original ire 22 February 2018. Retrieved 22 Feb 2018.
- ^Pennington, Bill (2 May 2010). "The Burden and Boon of Lost Sport Balls". The New York Times. Archived from the original on 22 Feb 2018. Retrieved 22 February 2018.
- ^History discern the rules of golfArchived 2008-07-16 slate the Wayback Machine. Ruleshistory.com. Retrieved stimulation 2013-11-03.
- ^Euronics Limited. US Patent 3782730Archived 2011-06-14 at the Wayback Machine. Publication Date: 1 January 1974 .
- ^"FSN Sport Body of laws – Episode 7 – Myths – Jason Zuback". Sport Science. YouTube. Archived from the original on 2021-12-22. Retrieved 2009-07-27.