The Physics of Table Tennis: A Comprehensive Guide

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SUMMARY

The discussion focuses on the physics and mathematics of table tennis, emphasizing the Magnus Effect, which explains how spinning balls curve due to air pressure differences. Key concepts include dynamic versus static pressure and the impact of surface roughness on ball behavior. The conversation also highlights the differences in energy retention between various table tennis rubbers, specifically mentioning Mark V, which preserves speed and spin energy effectively. Additionally, the comparison between the 38mm and 40mm balls illustrates how surface area to mass ratios influence speed and drag.

PREREQUISITES
  • Understanding of the Magnus Effect in fluid dynamics
  • Familiarity with Bernoulli's principle and air pressure concepts
  • Knowledge of energy retention in materials, particularly in sports equipment
  • Basic physics of motion and drag forces
NEXT STEPS
  • Research the Magnus Effect and its applications in sports physics
  • Study Bernoulli's principle and its relevance to ball dynamics
  • Explore the properties of different table tennis rubbers and their performance characteristics
  • Investigate the effects of ball size and surface roughness on aerodynamics in sports
USEFUL FOR

Table tennis players, sports physicists, coaches, and anyone interested in the scientific principles affecting ball dynamics and performance in table tennis.

kmikias
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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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Hi kmikias ! :smile:

Try http://www.gregsttpages.com/articles/tt_physics_maths.html :wink:
 
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 (separation) 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.
 

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