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		<id>https://www.explainxkcd.com/wiki/index.php?title=2711:_Optimal_Bowling&amp;diff=383042</id>
		<title>2711: Optimal Bowling</title>
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				<updated>2025-08-01T07:36:15Z</updated>
		
		<summary type="html">&lt;p&gt;Luca S: Add information about the schwarzschild radius and accuracy of the 10^25 kg cutoff for blackhole.&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{comic&lt;br /&gt;
| number    = 2711&lt;br /&gt;
| date      = December 14, 2022&lt;br /&gt;
| title     = Optimal Bowling&lt;br /&gt;
| image     = optimal_bowling_2x.png&lt;br /&gt;
| imagesize = 306x670px&lt;br /&gt;
| noexpand  = true&lt;br /&gt;
| titletext = If you want to bowl a strike, the optimal place is almost certainly inside a bowling alley, although with a little luck any establishment uphill from one could also work.&lt;br /&gt;
}}&lt;br /&gt;
&lt;br /&gt;
==Explanation==&lt;br /&gt;
&lt;br /&gt;
This series of line graphs purports to advise players on how to improve their odds of achieving a strike in the sport of {{w|bowling}} – presumably {{w|ten-pin bowling}}, the most popular version of the sport in the United States. Among the parameters being measured &amp;amp;mdash; those being angle of throw, throwing speed, spinning speed, and weight of the ball &amp;amp;mdash; all four graphs encompass a range far larger than would be useful for reference by a bowler. The latter three in particular are on {{w|logarithmic scale}}s, leading up to values that are impossible for a human to achieve.{{Citation needed}}&lt;br /&gt;
&lt;br /&gt;
The first line graph indicates that a bowler has the greatest chance of achieving a strike by aiming the ball directly at the pins, with the chance of a strike decreasing rapidly as the ball is aimed to the left or the right. The closer you aim to the pins, the more likely it is you hit them.{{Citation needed}} While a novice bowler may have difficulty achieving a 0° angle roll, their roll would still not come close to a -90° or 90° angle (due left or due right), much less a -180° or 180° angle (which, in either case, would be the opposite direction from the pins). Unlike with the other graphs, it is physically possible for a bowler to aim the ball at any angle, albeit not permissible under bowling rules; aiming the ball at an angle which deviates significantly from 0° would most likely cause the ball to end up in the gutter, while more violent or wildly aimed actions could create a risk of the ball going into one of the other lanes or missing the lanes entirely, which could annoy, anger, or even endanger other bowlers and employees of the bowling alley.&lt;br /&gt;
&lt;br /&gt;
The second graph indicates that a bowler has the greatest chance of achieving a strike by throwing the ball about 5–20 m/s (11–45 mph, 18–72 kph), with the chance of a strike decreasing as the speed is increased or decreased. Most bowlers cannot throw more than 45 m/s (100 mph or 160 kph).{{Citation needed}} According to the graph, any throw faster than 100 m/s would cause equipment damage, and then widespread destruction several orders of magnitude later. (Possibly a reference to {{what if|1|Relativistic Baseball}}.) The graph ends at the {{w|speed of light}}, as it is physically impossible to throw anything faster.&lt;br /&gt;
&lt;br /&gt;
The third graph concerns the rotational speed of the ball. The &amp;quot;ball explodes&amp;quot; section is a reference to one of [[Randall]]'s favorite equations, which is that an object cannot spin faster than the square root of its specific tensile strength. Spinning the ball any faster than this limit would cause the bowling ball to lose its structural integrity and explosively disintegrate. At particularly high speeds, the material of the ball would be flung outwards at a significant fraction of the speed of light, causing, as in the second graph, widespread destruction (possibly a reference to {{what if|92|One-Second Day}}.)&lt;br /&gt;
&lt;br /&gt;
The fourth graph in this comic illustrates a bowler's probability of a strike with a ball whose mass ranges from 10&amp;lt;sup&amp;gt;0&amp;lt;/sup&amp;gt; kg (2.2 pounds) to close to 10&amp;lt;sup&amp;gt;10&amp;lt;/sup&amp;gt; kg (over 22 billion pounds), and continues by indicating that balls even larger than that would cause &amp;quot;equipment damage&amp;quot; (up to 10&amp;lt;sup&amp;gt;20&amp;lt;/sup&amp;gt; kg) or the creation of a black hole (starting from around 10&amp;lt;sup&amp;gt;25&amp;lt;/sup&amp;gt; kg and up). In reality, a ball would be very likely to cause equipment damage at much lower masses than 10&amp;lt;sup&amp;gt;10&amp;lt;/sup&amp;gt; kg.{{Citation needed}} An object the diameter of a bowling ball (8.5–8.595 in, 21.59–21.83 cm) would require a mass of around 7.3⋅10&amp;lt;sup&amp;gt;25&amp;lt;/sup&amp;gt; kg to become a black hole (According to the {{w|Schwarzschild radius}}). The last entry on the x-axis of this graph is 10&amp;lt;sup&amp;gt;40&amp;lt;/sup&amp;gt; kg, which is about 5 billion times the mass of the {{w|Sun}}. The {{w|United States Bowling Congress}} requires all bowling balls to weigh no more than 16 pounds (that is, a mass of no more than 7.257 kg), with no minimum weight. Hence, if the x-axis of the graph ran from, say, 0 to 8 kg, the graph might actually impart some useful information.&lt;br /&gt;
&lt;br /&gt;
The title text continues the trend of providing unhelpful information by stating that the optimal place to stand when trying to bowl a strike is inside the bowling alley, but mentions the possibility of &amp;quot;any establishment uphill from one&amp;quot; working, with a little luck. This suggests the possibility of rolling the bowling ball downhill, in to the bowling alley and the pins, such as in {{w|List of Curious George episodes#Season 2 (2007–08)|Curious George}}.&lt;br /&gt;
&lt;br /&gt;
==Transcript==&lt;br /&gt;
:[The header is surrounded on either side by small drawings of two bowling pins and a bowling ball.]&lt;br /&gt;
:Data for Optimal Bowling&lt;br /&gt;
&lt;br /&gt;
:[Four line graphs are depicted. Each has a numbered one-word general description in a box at the top, an unlabeled y-axis, and a labeled x-axis. The relevant curve and other comments on each graph are in red.]&lt;br /&gt;
&lt;br /&gt;
:1. Aim&lt;br /&gt;
:[The graph's x-axis is labeled from -180° to 180°.]&lt;br /&gt;
:Release Direction&lt;br /&gt;
:[The red curve on the graph is just above the x-axis at all points except for a steep peak around 0°. The red curve is labeled:]&lt;br /&gt;
:Relative Probability of Strike&lt;br /&gt;
&lt;br /&gt;
:2. Speed&lt;br /&gt;
:[The graph's x-axis is labeled from 10&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt; to 10&amp;lt;sup&amp;gt;8&amp;lt;/sup&amp;gt;, with the last point on the x-axis labeled &amp;quot;Speed of Light&amp;quot;.]&lt;br /&gt;
:Ball Speed (m/s)&lt;br /&gt;
:[The red curve on the graph starts at the x-axis for 10&amp;lt;sup&amp;gt;-1&amp;lt;/sup&amp;gt;, reaches its peak around 10, then declines and becomes a dashed line ending around three-quarters of the peak around 10&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt;. The remainder of the curve is replaced by two labels:]&lt;br /&gt;
:Equipment Damage [from approximately 10&amp;lt;sup&amp;gt;2&amp;lt;/sup&amp;gt; to approximately 10&amp;lt;sup&amp;gt;5&amp;lt;/sup&amp;gt;]&lt;br /&gt;
:Widespread Destruction [from approximately 10&amp;lt;sup&amp;gt;5&amp;lt;/sup&amp;gt; to the end of the axis]&lt;br /&gt;
&lt;br /&gt;
:3. Spin&lt;br /&gt;
:[The graph's x-axis is labeled from 0 to 10&amp;lt;sup&amp;gt;12&amp;lt;/sup&amp;gt;.]&lt;br /&gt;
:Spin (RPMs)&lt;br /&gt;
:[The red curve on the graph starts about halfway from its peak for 0, reaches its peak somewhere between 0 and 1,000, then declines and becomes a dashed line around 1,000, soon after which the remainder of the curve is replaced by two labels:]&lt;br /&gt;
:Ball Explodes [from approximately 10,000 to approximately 10&amp;lt;sup&amp;gt;7.5&amp;lt;/sup&amp;gt;]&lt;br /&gt;
:Widespread Destruction [from approximately 10&amp;lt;sup&amp;gt;7.5&amp;lt;/sup&amp;gt; to the end of the axis]&lt;br /&gt;
&lt;br /&gt;
:4. Weight&lt;br /&gt;
:[The graph's x-axis is labeled from 10&amp;lt;sup&amp;gt;0&amp;lt;/sup&amp;gt; to 10&amp;lt;sup&amp;gt;40&amp;lt;/sup&amp;gt;.]&lt;br /&gt;
:Ball Mass (kg)&lt;br /&gt;
:[The red curve on the graph starts just above the x-axis for 10&amp;lt;sup&amp;gt;0&amp;lt;/sup&amp;gt;, rises steeply and drops steeply ending just above the x-axis, then becoming a dashed line, all before reaching 10&amp;lt;sup&amp;gt;10&amp;lt;/sup&amp;gt;. The remainder of the curve is replaced by two labels:]&lt;br /&gt;
:Equipment Damage [from approximately 10&amp;lt;sup&amp;gt;9&amp;lt;/sup&amp;gt; to approximately 10&amp;lt;sup&amp;gt;22&amp;lt;/sup&amp;gt;]&lt;br /&gt;
:Black Hole Created  [from approximately 10&amp;lt;sup&amp;gt;25&amp;lt;/sup&amp;gt; to the end of the axis]&lt;br /&gt;
&lt;br /&gt;
{{comic discussion}}&lt;br /&gt;
&lt;br /&gt;
[[Category:Line graphs]]&lt;br /&gt;
[[Category:Comics with color]]&lt;br /&gt;
[[Category:Sport]]&lt;br /&gt;
[[Category:Comics with red annotations]]&lt;/div&gt;</summary>
		<author><name>Luca S</name></author>	</entry>

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