Pool Table Math

The game of billiards is played on a rectangular table known as a billiard table upon which balls are placed.

Pool table math. There also aren t any pockets that can swallow the ball. In fact commenters found them all wanting in various ways. Billiards hit a cushion and leave it at about the same angle. Pablo places the cue ball one foot away from the south wall of the table and one foot away from the west wall as shown in the diagram below.

Pool table math with excel includes a video by dborkovitz posted in. This means that the ball will bounce infinitely many times on the sides of. Pool table math is a common feature of a lot of geometry textbooks. We have a real world application.

Can you read the angles and run the table in this classic game of billiards. Pool table that has a wall on each side a pocket in each corner and a pocket at the midpoint of each eight foot side. One ball the cue ball is then struck with the end of a cue stick causing it to bounce into other balls and reflect off the sides of the table. To play pool like a mathematician use the law of reflection which says that whatever angle the ball approaches the rail at is equal to the angle it will bounce off the rail at.

This is a classic problem solving activity that i first saw many years ago in mathematics. Billiards hit a cushion and leave it at about the same angle. The geometry of great pool so here s how to do it the pro way and teach yourself any needed aim compensations over time also. So if you want to bounce the cue ball off the rail and hit another ball first picture an imaginary line traveling from each ball to the rail where both lines make.

In mathematical billiards the ball bounces around according to the same rules as in ordinary billiards but it has no mass which means there is no friction. I invite you to. A simple professional aiming method. That s fertile territory for mathematics but different textbooks will travel that territory in different ways.

If the depth varies use the average depth of the pool. Real billiards can involve spinning the ball so that it does not travel in a straight line but the mathematical study of. Mathematical billiards is an idealisation of what we experience on a regular pool table. Number theory problem solving activities spreadsheets 0.

Locate the target point on the object ball the furthest possible point on the ball from the center of the pocket drop. But as we ll see in this week s wwib installment not all treatments of that application are equal. Irregularly shaped pools can be approximated by estimating the average length and width and using rectangular. Grab a cue and take your best shot.

The nctm has a nice applet to test cases one at a time. Estimating pool volume a wide by long by deep pool holds. Pablo is practicing bank shots on a standard 4 ft by 8 ft.