Unlocking the Physics of Table Tennis: A Comprehensive Guide

In summary, the conversation discusses the physics and mathematics of table tennis, particularly the effects of spin and air flow on the ball's trajectory. The Magnus effect, Bernoulli's principle, and detachment of air flow are mentioned as factors influencing the ball's movement. The conversation also touches on the differences between table tennis and other sports, such as golf and tennis, in terms of surface roughness and ball size.
  • #1
kmikias
73
0
Most of the time i play table tennis and I always think about physics of table tennis .
My question is .
Is there any a very brief introduction to the mathematics and physics on table tennis?
 
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  • #2
ping!

Hi kmikias ! :smile:

Try http://www.gregsttpages.com/articles/tt_physics_maths.html :wink:
 
  • #3
That website wasn't very informative.

Here's a thread on top spin versus back spin countering:

https://www.physicsforums.com/showthread.php?t=209919

Regarding this web page:

http://www.gregsttpages.com/articles/tt_physics_maths.html

Why a spinning and moving ball curves the air is called Magnus Force. There's dynamic versus static pressure, or Bernoulli effect. There's the more likely case of detached and turbulent air flow.

Bernoulli with mention of detachment (seperation) of turbulent air flow, top spin example:

http://en.wikipedia.org/wiki/Magnus_effect

Detachment of air flow (probably most of the reason for the curve):

http://www.geocities.com/k_achutarao/MAGNUS/magnus.html

More useful information such as elasticity (how much energy is preserved during a strike), for both linear and angular energy and how this effects various table tennis rubbers would be nice. For example, Mark V retains a lot of speed and spin energy during contact, while another rubber might retain a bit more speed, but less spin. The Mark V would be easier to block loops while at the table, because the returned ball would have more top spin and less speed.

If you drop a golf ball and table tennis ball in the air, the golf ball hits the ground first because it has a lot more weight (more force) and a bit less drag than the table tennis ball. I don't know what the point of this was.

One valid comparason between a golf ball and a table tennis ball would be the roughness of the surface. A rouger surface disrupts laminar flow sooner, and reduces Magnus effect, reducing how much the ball curves in the air, which is the purpose of the dimple on a golf ball. However, roughness is regulated by standards now, so you don't see the extremes of the 1970's where a Peace ball was very smooth, and a Barna was very rough.

The "powder" on table tennis balls should be wiped off before play, but if not, will end up on the rackets after a few rallies. The balls are replaced to reduce the chance of a ball breaking during play, which is different than the case for tennis (loss of pressure, and fuzz).
Off topic, but the amount of fuzz on tennis balls varies depending on the surface the ball is intended for (clay, grass, hard court).

The 38mm ball was faster because it's ratio of surface area to mass was less than a 40mm ball, so the 38mm ball was a bit less affected by drag, retaining a bit more speed, but less Magnus effect than the 40mm ball.
 

What is the physics behind the spin in table tennis?

The spin in table tennis is created by the rotation of the ball as it is hit by the paddle. This rotation is caused by the friction between the ball and the paddle, and it can be either clockwise or counterclockwise depending on the direction of the paddle's movement. The amount of spin can also be affected by the speed and angle of the paddle's movement.

How does the shape and material of the paddle affect the game?

The shape and material of the paddle can significantly impact the game of table tennis. A paddle with a smooth surface will produce less spin compared to a paddle with a rough surface. The material of the paddle also plays a role, as a stiffer material will result in more power and a softer material will provide more control. The shape of the paddle can also affect the trajectory and spin of the ball.

What role do air resistance and gravity play in table tennis?

Air resistance and gravity both play a significant role in the physics of table tennis. Air resistance affects the speed and spin of the ball, as it creates drag that slows down the ball and affects its trajectory. Gravity also affects the trajectory of the ball, as it pulls the ball towards the ground. Players must take into account these factors when hitting the ball to achieve the desired speed and spin.

How does the angle of the paddle affect the trajectory of the ball?

The angle of the paddle at the moment of impact with the ball determines the direction and spin of the ball. A flat paddle will result in a flat trajectory, while a tilted paddle can create a topspin or backspin. The angle of the paddle can also affect the speed of the ball, with a more angled paddle resulting in a faster shot.

What is the optimal distance between the player and the table for maximum power?

The optimal distance between the player and the table for maximum power is about one arm's length away. This allows the player to generate enough power from their body's rotation while still maintaining good control and accuracy. Being too close or too far from the table can limit the player's power and affect their ability to hit the ball with the desired spin.

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