The physics of badminton: What gives Badminton rackets their power

Discussion in 'Badminton Rackets / Equipment' started by kirbosmash, May 30, 2009.

  1. chewablemorphin

    chewablemorphin Regular Member

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    This is not necesarilly true either, having a material that is flexible, in a sense would be a whip. The problem with that is it would be imposible to be consistant, having to time every shot perfectly. There are reasons why people who like to smash, use stiff rackets. The racket is a mere extension of the body, when you swing, you swing with all of your body's inertia, thats where the power comes from, weight transfer, which then is amplified by the shoulder rotation, which then is amplified by the rist, and finally by the racket itself. You could increase the power simply by making the racket longer, increasing the levrage.
     
  2. jhirata

    jhirata Regular Member

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    That's true because work = force x distance..

    Also, Momentum = Mass x ( velocity which is [Distance travelled / time])
    The mass and the length of the racquet can both affect the "power", given that the swing speed remains constant.. and also lets say, if racquet A and B have constant "x" mass and "y" "length" ( in general ) and if racquet B has a more aerodynamic frame and shaft profile. The aerodynamic"er" frame will reduce the time taken to swing the racquet if the distance swung remains constant for all racquets, therefore also the "power" will increase as the velocity value in general will also increase.

    "Mass" is just too vague as well as Kirbosmash mentionned, it should be taken in context of "sweetspot" or the balance point/centre of gravity from the pivot, and also the total mass of the racquet.
    So simply, the balance point can also affect the time taken to swing. Lower bp ( or just lower "mass" ) will give faster swing speed ( there is a limit to this swing speed ). Higher bp ( head-heavy ) racquets will have greater value of "mass" and may take more time to swing the racquet a constant distance, but if the weilder can swing the racquet fast enough ( lets say, at the same speed as the head-light racquet), the head-heavy racquet ( and also heavy in general ) can produce more "power" than a "light" racquet if the racquet length ( most importantly ), strings, etc remain constant.

    The stiffness of the material used in the racquet will also affect the "power" and durability. The flexibility/stiffness can change the output "power", but it also depends upon the user as explained by Loopy:
    http://www.badmintoncentral.com/forums/showthread.php?t=40187

    So pretty much, there can only be "powerful racquets" if everyone are physically the same, which isn't the case. Basing our racquet purchases on the racquet's marketed "power" is just non-sense.
     
    #22 jhirata, May 31, 2009
    Last edited: May 31, 2009
  3. chewablemorphin

    chewablemorphin Regular Member

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    What jhirata says is completly true, rackets don't swing themselves. The power is in the wielder, not the racket.
     
  4. kirbosmash

    kirbosmash Regular Member

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    we agree on something jhirata.
     
  5. kirbosmash

    kirbosmash Regular Member

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    Interesting concept with the leverage idea - that physically should work. When I say flexible, I mean that this material is completely out of our league - say, 75 years in the making - it catches the bird for a split seconds then rebounds it faster than any swing - it basically makes "cheating" rackets.
     
  6. weeyeh

    weeyeh Regular Member

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    The only comment I have is the above applies fundamental physics which works on rigid systems. Assuming rigid systems helps the students to understand/approximate what they learn as related to what they observe in the general world.

    The problem is the world and definitely our racket system is not rigid. The strings stretches, the shaft and racket head flexes, and even the grip/body system of the player introduces flex.

    Jhirata: the "work done" calculation is wrongly applied. An increase in length of the racket shaft at the same angular velocity increases the "speed" of the racket head. And Taneepak's version of physics is indeed mindblowing at times.
     
  7. alexh

    alexh Regular Member

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    It's a nice report, but your badminton is better than your physics!

    Power and momentum are two different things in physics. You've given the correct definition of momentum. Power is defined to be the rate of work done--that is, power equals force times distance divided by time. It's easy to look up these words in wikipedia or other web sites.

    Only a part of the racquet's momentum is transferred to the shuttlecock. If the momentum were completely transferred, that would mean the racquet would stop moving at the instant it hit the birdie. (Look up "elastic" versus "inelastic" collisions if you want to learn a little more physics here!)

    Thanks for posting your article, it's a good way to get an interesting discussion going!
     
  8. kengcyap

    kengcyap Regular Member

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    Don't know if anyone is still viewing this thread, but since I just read it, I'll give my two-cents worth. Kirbosmash is not wrong, but he only attempted to address half the problem. The first problem is momentum, while the second problem is momentum transfer. To maximize power, you need to maximize both.

    As we know, momentum is proportional to mass and speed. If you want to raise mass only, try use a tennis racket, and you'll find that your birdie can't go very far. If you raise the speed only, try the lightest racket, but your birdie can't go very far either. As racket mass (or mass moment of inertia to be more precise) goes up, your swing speed can only go down, but you may still have net momentum gain, as long as your swing speed does not reduce too drastically. If you make a plot of mass moment of inertia (y-axis) vs. momentum (x-axis) for yourself (which depends on how well you can maintain racket speed as the mass moment of inertia goes up), you'll find that your curve peaks at some point. This peak tells you the optimum moment of inertia for you (which is personal), and it helps you decide your own optimum racket.

    Assuming now that you have chosen a racket that allows you to generate your maximum momentum (which would probably still a lot lower than that of Mr. Tan Boon Heong), now the next question is, how well can you transfer all this momentum to the birdie. Instead of a simple kinematic problem, we are now dealing with a more complicated structural dynamic problem. This is where shaft stiffness and string tension matter. Your swing speed excites a series of frequency responses, and only part of these responses are transferred to the birdie. Here's the hint: birdie (cork) has a natural frequency, and the key to maximize momentum transfer is to maximize the excitation at that particular frequency.

    I'm gonna stop right here, as I'll have to start charging consultation fee from here on :)
     
  9. Omage007

    Omage007 Regular Member

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    indeed an expensive powerful racket might only help you perform few % better then a cheaper racket, the badminton player skill and strength is the key point of the overall performance; LinDan can beat you easily with a USD $40 racket eventhough you use a USD $400 racket. . . :D
     
  10. tckang

    tckang Regular Member

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    I am a no brainer and by now after reading the full 2 pages of this thread, i am suffocated and drown in physics, which i failed miserably in high school :p
    To me, i like to live in a simple world and makes complicated thing look simple. Since i have no "gift of physics" . i see the whole thing this way:

    Badminton = (racket + string + grip) + (PEOPLE + SKILLS) (Of course there are shoes and birdie and your shirt pants undies, etc.)

    Based on my SIMPLE equation above,

    For a beginner ,
    You should concentrate only on PEOPLE + SKILLS. Train with the proper footwork, how you hold the racket, how you swing how you smash, etc etc FIRST. Forget about racket + String + Grip and all the fancy science behind that, you do not need them, not yet.

    Now, suppose you are Lin Dan,

    By then, you can take out PEOPLE + SKILLS as they are already reaching a very sustainable high level consistently. So, now you can look at Racket + String + Grip to ENHANCE (Note the word ENHANCE) your overall badminton play and enjoyment.

    on the other hand, if you are Lin Dan,
    since your PEOPLE + SKILLS is almost equal to infinity (max), you can substitute racket + Grip + String = 0 (i.e cheap USD20 rackets, string, grip) and still thrash anyone with PEOPLE + SKILL = 0 (i.e no proper skill, wrong skills, etc.)

    So is Racket + String + Grip important ? Yes, but NOT until you have got the PEOPLE + SKILLS, i.e proper foundation, the correct gripping of racket, the swing, the smash, the footwork etc.

    OK enough of no brainer equation, time for me to hit the court now.

    Cheers
    :D :D :D
     
    #30 tckang, Jun 22, 2010
    Last edited: Jun 22, 2010
  11. Loh

    Loh Regular Member

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    Interesting point you made on highlighted above.

    Now that you mentioned it, does it mean that in general a player with a longer arm (such as a tall player) would be able to execute a more powerful smash, given all other conditions are similar?
     
  12. taneepak

    taneepak Regular Member

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    It is misleading to focus on sheer racquet power. What is more important is to strive for a racquet with effective power for that particular player. A very long racquet with its extreme swing weight is not an effective power racquet because it is only powerful in very few situations.
    It may be interesting to note that a racquet with effective power is also a highly controllable racquet.
    A racquet derives its power from the youngs modulus of its materials-and this has nothing to do with the stiffness of the shaft-and from slim dimensions of the racquet frame in all the directions of its swing. Materials with very high Youngs modulus are extraordinarily stiff as they are the end product of 3,000 degrees C. They are very stiff but more brittle. It is these qualities that will allow the racquet to be designed to have slim frame dimensions, which will increase its swing speed (note, not swing weight) from reduced air resistance.
    However, you can also design a racquet with equal power, but not the same degree of effective power, with lower Youngs modulus materials like those graphite that come out from 1,500 degrees to 2,000 degress C. To do this you need to have thicker frame dimensions to offset that "jelly-like" distortion of the frame from power hits. This however comes at a cost, and that is it will have reduced swing or hand speed because its thicker frame dimensions wil meet greater air resistance. But you will get a stronger racquet that can withstand clashes better than the more expensive higher Youngs modulus racquet.
    With very high Youngs modulus materials you also eliminate any "jelly-like" feeling with no loss of fast hand speed, which will provide you with excellent control-the shuttle will zero in like a laser from any shot and not wonder off sometimes unpredictably.
    There are a few simple methods of testing a racquet for these qualities before you buy the racquet.
     
  13. Smithy88

    Smithy88 Regular Member

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    There is only one way to test this. You have to test every single variable.

    You need:

    3 Rackets: All Extra Stiff - 1 Head Heavy, 1 Even, 1 Head Light
    3 Rackets: All Stiff - 1 Head Heavy, 1 Even, 1 Head Light
    3 Rackets: All Medium - 1 Head Heavy, 1 Even, 1 Head Light

    This way you can test every variable of the racket. You can test:

    a) Varied stiffness in ALL head heavy rackets
    b) Varied stiffness in ALL even rackets
    c) Varied stiffness in ALL head light rackets

    Here we have tested how the stiffness of the shaft is affected by the balance

    d) Extra stiff in ALL varied balance
    e) Stiff in ALL varied balance
    f) Medium in ALL Varied balance

    Here we have tested how balance is affected by the balance.

    These 2 may sound the same but they are not as the first you are testing one stiffness with different balance i.e 3 Head heavy 1 stiffness. The second is testing one balance with different stiffness i.e. 3 Stiff 1 balance. For all of these rackets you need to use the most basic of swings at an average tension.

    Then you move onto strings. You now need to string one type of racket with every different string. To make things average out take a stiff shaft with even balance as its the mid point.

    Once you have done that you then need to combine the lot. String every single different racket with every single different string to find which is the best combination.

    That isn't even including physical variables i.e. who is using the racket.

    Basically the whole idea is a bit much as badminton companies have physicists working on this stuff who can use their knowledge and computer programs to test their theories.

    Why do you think there is rarely an extra stiff head light racket. Its because you would get no power at all and would be 100% defense.

    The best option to test this theory is to pick just one variable, the racket being the obvious one but you need to find them with similar technology.
     
  14. teoky

    teoky Regular Member

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    You are right on the scarcity of extra stiff head light racquet and NS9900 is one of them. Mine had a bp of 275mm ! However, the power generated is still pretty decent PROVIDED you can compensate with a fast swing.
     
  15. Smithy88

    Smithy88 Regular Member

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    It is still possible but for the average player its too much of a beast.

    Its all about the best combos really and also how you feel with the racket. Mid/stiff and even balance or head heavy is a good combo for me doubles wise on the defensive. Head heavy and stiff for singles and if i am attacking in doubles a the same as singles but a lighter racket does the job.

    Most of the physics i would say is about the player, you can say all day a head heavy racket gets more power than head light but it depends. Assuming you hit the sweet spot then Head Light (less head mass) needs a fast swing and head heavy (more head mass) doesn't need to be as fast.

    So you would think connecting with less mass you need more power. Its not a case of the connection more getting the racket to that connection. If its mass it at the head the that will create more drag. So in reality you need a faster swing to connect that mass.

    This is why i use head heavy rackets, i can feel the drag but i swing head light rackets stupidly fast that i can't adjust and miss the birdie.

    So overall yes more mass equals more power on connection but its like finding terminal velocity, you need to add drag into the equation. You can throw a pebble faster than you can a rock, you need more energy in the throw to throw the rock as fast.
     
  16. taneepak

    taneepak Regular Member

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    These tests will lead you to nowhere. Using your criteria one can have a very stiff racquet with "jelly-like" materials of low quality carbon. Stiffness of the shaft is utterly useless on a frame that will distort from power shots. The frame is the heart of a racquet, its shaft can be designed to be from flexible to very stiff to suit individual timing and preferred flex or bend point.
     
  17. Smithy88

    Smithy88 Regular Member

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    What i am getting at is the amount of variables involved in this. Ok lets move onto the next one, materials and technology. Lets assume all these rackets are made with this the same.

    The you would need a stupid amount of rackets to test the different combos of materials and technology.
     
  18. taneepak

    taneepak Regular Member

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    No, not really. Japanese OEM manufacturers use a typically Japanese method which is simple but quite revealing. You can see some of these Japanese QC inspectors in only the very large racquet plants in China, testing each racquet individually at relatively high speed. But this Japanese method only tests for precision manufacturing, not for youngs modulus under load.
    I use a 4-step protocol, including the one used by the Japs.
     
  19. Smithy88

    Smithy88 Regular Member

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    What i mean is for someone to just go out and scientifically test how to get the most power there is too much to go through compared with what the QC inspectors and experts working for these companies already know about racket technology.
     
  20. taneepak

    taneepak Regular Member

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    But this is very useful when your friends go into a sports store and want to buy a racquet model that is really great and not end up with one that is very stiff but of poor materials.
     

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