Pool/Billiard Math Guru's - I need some help.

What do you say if they ask what is the farthest it can go? Their rules is not written for the average but the extra ordinary. You can't really say things to these people that doesn't sound true or is just self serving. Like it of not, they hold all the cards you have to not BS them. Come on, 5 feet, cue balls fly off and travel over two tables all the time. In fact it would be hard to hit a ball in a way that it would leave the table and not have it travel more then 5 feet. That would be a tough bet to win, to knock a ball off the table and hit the floor less then 5 feet from the perimeter of the table.

I'm talking about object balls here, not the cue ball on the break, which can go sailing. I don't think it would be wise for Geno to even bring that up. Sometimes a cleverly worded argument can go a long way toward getting some leniency, or in this case a variance. Listen Mac, if someone is going to mess with my business who hasn't a clue what they're talking about, I have every right to BS them right back and show them that they are clueless.

In other words if they are going to straddle me with unworkable stipulations, I can baffle them with bullshit. I've done it more than once. :cool:
By the way, requiring seating be 16' away from the pool tables is utter nonsense and has nothing whatsoever to do with safety. It's an attempt to stop a man from doing business. If it were me, I would let them know in a light hearted manner, that they haven't a clue what happens in a poolroom, or with pool balls in general. You MUST present yourself as an expert, someone with years of experience in this business. Don't be afraid to brag about your accomplishments as a player. If you can get them talking about pool and pool players, you've won! Someone is almost sure to ask you if you know The Black Widow. And one more thing Geno, NEVER call it a poolroom. Always call it a Sports Bar!

Also forget all the calculations being given to you in the above posts. By using them you only lend credence to their argument. You must approach this from a completely different tact.
 
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The only way a cueball doesn't lose velocity when coming off the table is if it never touches anything on the table. While this has been known to happen, it is very rare and never at full speed.

If, as usually happens when a cueball leaves the table on a break, it hits the rack and the balls in the rack move, the cueball has definitely lost velocity.

As far as 'thinking' where the ball reaches the apex, that can be calculated. This is a somewhat involved problem and I don't really want to spend the time writing the equations.

dld

Look, the original question was whether or not is is feasible for an errant ball to fly 16'. I did a ball park calculation, and that is what I got, so I don't think he can defend this on the physics of the situation. If you think differently, I'm sure the OP would like to hear from you.
 
1.Supply each table within the prohibited area with a baseball glove. Tell the inspectors that the tables are not for diners, they are for participants.

2 Ask the inspectors what risks they are concerned about and then insure against them. Show them the policy. (This assumes that the insurers are going to be more sensible than the City officials.)

3 Put the dining tables on wheels so that the customers can move them where they want. Whenever a table is vacated, make sure that it is returned to outside the 16' zone. If the customers move their table into the prohibited zone to give themselves some more space, that is their problem.

4 Rig up a radar-guided missile defence system so that if an errant ball does come over, it gets shot down. Make sure that the missiles trajectories are well away from windows.

5 Hang a net curtain between the tables and the tables. You might need to weight the bottom, but not with much.

6 Find out who does table recovering / maintenance in the City., phone them up and ask them for advice. If there is a solution, they probably will have seen it.

Just some ideas.
 
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Physics of trajectories:

- 45 degrees is the angle that maximizes the horizontal travelling distance when the ball leaves the table. I will assume that.

- For the height of the playing surface, let's assume 0.8 meters.

- For the cue ball velocity when it jumps off the table, let's assume fast V=25mph=11.18m/s

- The horizontal speed of the cue ball V_h is constant throughout the motion before it hits the ground (because gravity affects vertical speed only), and it is simply:

V_h=V*sin(45) = 17.68mph = 7.9 m/s.

- x is the distance traveled by the cue ball in the figure, it is x = V_h * t, and here t is the time it takes for the cue ball to hit the ground. All we need to find is this total "hang time".

- The vertical velocity, V_v, of the cue ball will make the cue ball to move up another "h" meters before it is level with the table again. The formula is:

h = (V_v)^2/2g, where g=9.8 m/s^2, gravitational constant.

h yields 3.18 meters...

- Once the cue ball is at this maximum height from the ground (h_max=3.18+0.8=3.98meters), it will take, from the formula

h_max = 0.5 * g * t^2,

t~0.9 seconds to hit the ground.

- Before attaining the maximum altitude, it already traveled, from the same formula,

t~0.8 seconds.

- So the total "hang time" for the cue ball is 1.7 seconds.

- Total horizontal distance traveled before hitting the ground is:

x=V_h * t = 7.9 * 1.7 = 13.43 meters, or about 44 feet...

All this is without neglecting the friction, and assuming a large initial velocity of about 25mph. It is more likely to assume an initial velocity of about half as much. Then, the horizontal distance would be half of 44 feet, that is about 22 feet.

With the likely effects of air friction (which changes with speed and the diameter of the cue ball), it is very possible that this number will come down to about 15 feet or so...

Disclaimer: this is a fast calculation and may contain errors :thumbup:
 

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strip the place down take out all the extras.make the building look like there is more room than you need.just put in one or two tables and the stuff that you need to pass code and get your license and get it open.change and add after it is open.if you only need 12 seats to pass code then you use only 12 seats.keep all of your extras stashed off property and move them in later.

bill
 
An interesting question is what is how thick do you need to hit the head ball to get the c.b. to travel the maximum distance before it hits the ground? (Assume that the elasticity of the collision is independent of this thickness)
 
16 feet is about right.

3' = 1/2 a t^2
t=0.43 seconds before ball hits floor
break speed=36.5 fps

distance traveled = 0.43 * 35.5 = 15.8 feet

You have sharp code enforcers!



You are good.
How much energy will the cue ball loose when it strikes the rack?
randyg
 
Defending things on the basis of physics is what I do for a living.

What the OP was asking is not what he is wanting. What the planning board is going to want is to know if people can get injured by sitting closer than 16' from a table. I am trying to set him straight on that. You flat out said that his planning board was smart and correct.

dld

In what post did I say "his planning board is smart and correct"?

I took the question at face value. I think it is well established that billiard balls flying 16+ feet is established as plausible. Whether they could be expected to be associated with injury is another matter altogether, and one that I have not commented on.
 
Okay. The reason I didn't put it in quotes is because, well, it wasn't a direct quote.

You said that they were sharp code enforcers. Again, not a direct quote very close, tho. If that doesn't scream that you think they are correct, I don't know what does. Unless you mean the literal version of sharp (i.e. they can be used to cut tomatoes), I have to assume you mean 'smart'.

dld

Truth be told, I wasn't expecting billiard balls to be so easily airborne. And, I was amused that my guesstimate matched the code.

As you are aware, the first step is to determine whether the exposure risk exists (and it appears it does). Then, it can be analyzed to determine whether or not there is significant risk of harm.

However, the "complete lack of exposure" defense would not appear to be appropriate here, and I will leave it at that.
 
I'm talking about object balls here, not the cue ball on the break, which can go sailing. I don't think it would be wise for Geno to even bring that up. Sometimes a cleverly worded argument can go a long way toward getting some leniency, or in this case a variance. Listen Mac, if someone is going to mess with my business who hasn't a clue what they're talking about, I have every right to BS them right back and show them that they are clueless.

In other words if they are going to straddle me with unworkable stipulations, I can baffle them with bullshit. I've done it more than once. :cool:
By the way, requiring seating be 16' away from the pool tables is utter nonsense and has nothing whatsoever to do with safety. It's an attempt to stop a man from doing business. If it were me, I would let them know in a light hearted manner, that they haven't a clue what happens in a poolroom, or with pool balls in general. You MUST present yourself as an expert, someone with years of experience in this business. Don't be afraid to brag about your accomplishments as a player. If you can get them talking about pool and pool players, you've won! Someone is almost sure to ask you if you know The Black Widow. And one more thing Geno, NEVER call it a poolroom. Always call it a Sports Bar!

Also forget all the calculations being given to you in the above posts. By using them you only lend credence to their argument. You must approach this from a completely different tact.
Some of those laws are thinly disguised ways of saying "We don't want any pool rooms here". Parking requirements can often be what they use. I looked at a building and it was in a shopping center. I thought I had a ton of parking till I went before a board. Turns out, even though the place is always half empty I could only get credit for the spaces that were apportioned to my sq footage and business status even though the parking lot may be pretty empty almost all the time. IN OTHER WORDS, the furniture store that was 6000 sq feet only needed 1 space per 1000 sq feet, not even enough for their employees. While a pool room needed 1 per every 1000 sq feet plus 2 spaces for every pool table and 1 space for every 2 seats. So, a 12 table room 3000 sq feet needed 3+ 24+18 (For seating requirement of 36 seats) for a total of 45 spaces for a simple pool room.

Needless to say, there would almost be no building that could get a license for a pool room in that town. The more tables the more spaces, the more footage the more spaces. It was a catch-22 you could never catch up they created it to keep pool rooms out of their city. The catch was, this was written specifically for billiard rooms, restaurants had no such requirements. You know what I finally decided, why be where they don't want you. If it is not one thing it would be another they don't want you there why argue. This was a small north Florida town. Heck, the next county over is still dry. There are backwards laws still on the books regarding pool in every state.

Look at this:

Florida Laws: FL Statutes - Title XLVI Crimes Section 849.01 Keeping gambling houses, etc.

Legal Research Home > Florida Laws > Crimes > Florida Laws: FL Statutes - Title XLVI Crimes Section 849.01 Keeping gambling houses, etc.

849.07 Permitting gambling on billiard or pool table by holder of license.
If any holder of a license to operate a billiard or pool table shall permit any person to play billiards or pool or any other game for money, or any other thing of value, upon such tables, she or he shall be deemed guilty of a misdemeanor of the second degree, punishable as provided in s. 775.082 or s. 775.083.
--------
In other words if you have a pool room you can be arrested if someone gambles there and you know about it. A pool table is still considered a gambling devise in Florida like a slot machine, I would have to look it up but it is still on the books going back like 80 years.
-------

This one makes all pool tournaments and leagues all illegal in Florida if the person puts up any entry fee. and prizes of any kind are returned. The only way a tournament is legal is if the prize money is just given away they players can not pay any entry fees or it becomes a lottery.
You know like what you see Burger King do "No purchase necessary" to win the car.


Florida:
849.14 Unlawful to bet on result of trial or contest of skill, etc.
Whoever stakes, bets or wagers any money or other thing of value upon the result of any trial or contest of skill, speed or power or endurance of human or beast, or whoever receives in any manner whatsoever any money or other thing of value staked, bet or wagered, or offered for the purpose of being staked, bet or wagered, by or for any other person upon any such result, or whoever knowingly becomes the custodian or depositary of any money or other thing of value so staked, bet, or wagered upon any such result, or whoever aids, or assists, or abets in any manner in any of such acts all of which are hereby forbidden, shall be guilty of a misdemeanor of the second degree, punishable as provided in s. 775.082 or s. 775.083.

--------------

This stuff is on the books in every state and many are geared directly at pool. They can keep you from doing business it they want.
I forgot to mention, bowling alleys have an exclusion from this their leagues are legal they are mentioned specifically. This probably goes back to when Brunswick and AMF were opening bowling alleys and probably had a lobby helping them with state laws. They were big business.
 
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I need a little help with a mathematical equation regarding pool tables and how far and at what speed a ball travels after it leaves the table.

I am opening up a Restaurant/Bar/Pool Room and the City wants me to have pool tables 16' away from any seating. YEAH, more old school pool law BS. Anyway, I have to prove to them or at least show them that this is a ridiculous amount of distance.

What I need to know is, if a pool ball leaves the table how far can it be expected to travel in the air and at what speed. I know from break contests the average speed a pool ball can travel is about 25mph. But given it's weight and trajectory how far would it travel and what would the speeds be per foot of travel and what would the drop or decline in elevation be per foot?

Any help with this would be great.

Also, if anyone knows any city/state laws regarding this I could use for case law please let me know.

Thanks in advance for any info you can provide.

Attached is the proposed floor plan.

I wonder where the players are supposed to sit? Does any seating mean "Any Seating". A 16 foot radius with one table overlapping the other you could not have any seating where the pool tables are.
 
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Average pool players off the street, on the break shot, are probably around a 5-10 percent favorite to send the cue ball sailing on the break shot. I was around a 10 percent guy myself up until about 3-4 years ago... and I think my cue ball indentation in the wall is still the highest at the Shady Lady.
 
Some of those laws are thinly disguised ways of saying "We don't want any pool rooms here". Parking requirements can often be what they use. I looked at a building and it was in a shopping center. I thought I had a ton of parking till I went before a board. Turns out, even though the place is always half empty I could only get credit for the spaces that were apportioned to my sq footage and business status even though the parking lot may be pretty empty almost all the time. IN OTHER WORDS, the furniture store that was 6000 sq feet only needed 1 space per 1000 sq feet, not even enough for their employees. While a pool room needed 1 per every 1000 sq feet plus 2 spaces for every pool table and 1 space for every 2 seats. So, a 12 table room 3000 sq feet needed 3+ 24+18 (For seating requirement of 36 seats) for a total of 45 spaces for a simple pool room.

Needless to say, there would almost be no building that could get a license for a pool room in that town. The more tables the more spaces, the more footage the more spaces. It was a catch-22 you could never catch up they created it to keep pool rooms out of their city. The catch was, this was written specifically for billiard rooms, restaurants had no such requirements. You know what I finally decided, why be where they don't want you. If it is not one thing it would be another they don't want you there why argue. This was a small north Florida town. Heck, the next county over is still dry. There are backwards laws still on the books regarding pool in every state.

Look at this:

Florida Laws: FL Statutes - Title XLVI Crimes Section 849.01 Keeping gambling houses, etc.

Legal Research Home > Florida Laws > Crimes > Florida Laws: FL Statutes - Title XLVI Crimes Section 849.01 Keeping gambling houses, etc.

849.07 Permitting gambling on billiard or pool table by holder of license.
If any holder of a license to operate a billiard or pool table shall permit any person to play billiards or pool or any other game for money, or any other thing of value, upon such tables, she or he shall be deemed guilty of a misdemeanor of the second degree, punishable as provided in s. 775.082 or s. 775.083.
--------
In other words if you have a pool room you can be arrested if someone gambles there and you know about it. A pool table is still considered a gambling devise in Florida like a slot machine, I would have to look it up but it is still on the books going back like 80 years.
-------

This one makes all pool tournaments and leagues all illegal in Florida if the person puts up any entry fee. and prizes of any kind are returned. The only way a tournament is legal is if the prize money is just given away they players can not pay any entry fees or it becomes a lottery.
You know like what you see Burger King do "No purchase necessary" to win the car.


Florida:
849.14 Unlawful to bet on result of trial or contest of skill, etc.
Whoever stakes, bets or wagers any money or other thing of value upon the result of any trial or contest of skill, speed or power or endurance of human or beast, or whoever receives in any manner whatsoever any money or other thing of value staked, bet or wagered, or offered for the purpose of being staked, bet or wagered, by or for any other person upon any such result, or whoever knowingly becomes the custodian or depositary of any money or other thing of value so staked, bet, or wagered upon any such result, or whoever aids, or assists, or abets in any manner in any of such acts all of which are hereby forbidden, shall be guilty of a misdemeanor of the second degree, punishable as provided in s. 775.082 or s. 775.083.

--------------

This stuff is on the books in every state and many are geared directly at pool. They can keep you from doing business it they want.
I forgot to mention, bowling alleys have an exclusion from this their leagues are legal they are mentioned specifically. This probably goes back to when Brunswick and AMF were opening bowling alleys and probably had a lobby helping them with state laws. They were big business.

I hear you MG. I always felt the same way. If they don't want me there, I'll take my business, along with the revenue (and jobs) it would generate, somewhere else. These days with so much vacant space, a city would have to be very foolish to thwart the efforts of prospective tenants. And the property owner would probably be on your side in helping get the necessary permits.
 
Thanks for all the info. I really appreciate it.

I got some good news today. (if you look at the floor plan) you will see the space in 2 sections. Both sides are 2,000 SQ FT each. The left side is the Sporting Area and the Right side is the Restaurant and Bar area. There is a wall in between the 2 sections about 4' tall with posts that goes about 1/2 way from the bottom to the top of the room. The top section is open but I will have to put clear Plexi-Glass between the open top and the bottom section. Seating booths will be on the right "Restaurant.Bar side of this wall. On that same line there is a swinging door which separates the 2 rooms.

On the left side of the room you will see booths and some high top tables with chairs and in the back left there is a Non-Smoking Restaurant section completely closed off from the rest of the place but with a door there.

Here is what the city came back with. They said that if I do not serve any food on the left hand side of the establishment then everything with the seating space is OK. However, we will be allowed to serve food in the Non-Smoking section to which is on the left side but in a separate area with its own entrance and exit from outside and inside the room.

So that is GOOD NEWS.

As far as parking goes, this is a free standing building with over 100 parking spots and room to grow if needed so thankfully that is not an issue.

Now all we need are our Beer/Wine/Liquor and Food Service Licenses and we are set to go.

The other good news is we got all this for around $5 an Sq Ft with the owner paying property taxes and maintenance. So if you are in the market to open a location up as I have said in a previous thread (Now is the time to act!).

Again, thanks for all the info.
 
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Thanks for all the info. I really appreciate it.

I got some good news today. (if you look at the floor plan) you will see the space in 2 sections. Both sides are 2,000 SQ FT each. The left side is the Sporting Area and the Right side is the Restaurant and Bar area. There is a wall in between the 2 sections about 4' tall with posts that goes about 1/2 way from the bottom to the top of the room. The top section is open but I will have to put clear Plexi-Glass between the open top and the bottom section. Seating booths will be on the right "Restaurant.Bar side of this wall. On that same line there is a swinging door which separates the 2 rooms.

On the left side of the room you will see booths and some high top tables with chairs and in the back left there is a Non-Smoking Restaurant section completely closed off from the rest of the place but with a door there.

Here is what the city came back with. They said that if I do not serve any food on the left hand side of the establishment then everything with the seating space is OK. However, we will be allowed to serve food in the Non-Smoking section to which is on the left side but in a separate area with its own entrance and exit from outside and inside the room.

So that is GOOD NEWS.

As far as parking goes, this is a free standing building with over 100 parking spots and room to grow if needed so thankfully that is not an issue.

Now all we need are our Beer/Wine/Liquor and Food Service Licenses and we are set to go.

The other good news is we got all this for around $5 an Sq Ft with the owner paying property taxes and maintenance. So if you are in the market to open a location up as I have said in a previous thread (Now is the time to act!).

Again, thanks for all the info.
That's great, I knew they would be willing to work with you. Cities are not very anti-business now a days.
 
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