Recoil weight, the polarization index, and MgR/I are different measures of racquet polarization calculated from the same variables of weight, balance & swingweight (SW):
THE FORMULAS:
Recoil Weight = SW - (wt. in kg. x (cm balance - 10)²)
The Polarization Index = Recoil Weight ÷ Weight in grams
MgR/I = (wt. in kg x 980.5 x cm balance) ÷ (SW + (20 x kg wt. x cm balance) - (100 x kg wt.))
THE IDEAS
Recoil Weight is like swingweight except its axis is the balance point instead of 10cm (your hand). The higher the RW, the more polarized the frame: >170 is very polarized; <150 is very depolarized.
The Polarization Index looks at RW in proportion to mass to arrive at a simpler polarization measure: most racquets hover around 0.50 PI, with > 0.50 PI being more polarized and <0.5 PI being less polarized.
MgR/I is used to adjust how quickly the hoop comes through your swing so as to fit arm length and swing style by varying weighting and its positioning to achieve your ideal racquet head lag. (The higher the MgR/I, the less polarized the frame and the faster the hoop comes through.) <20 is very polarized; >21.5 is very depolarized.
It’s easy to assume that these measures move consistently visa vie one another, as if a lower recoil weight means a less polarized frame, and so, a higher MgR/I every time. While this is mostly true, it’s not the hard n’ fast rule people think. As you’ll see from the case of Andrey Rublev’s racquet customization, there are differences among the three polarization measures that are easy to miss and quite confusing, too, unless you dive a bit deeper:
Rublev’s Racquet
vs. its stock specs* | In
Year | Length
[cm] | Weight
[grams] | Balance
[cm] | Swing
Weight | Recoil
Weight | Polariz’n
[RW/Wt] |
MgR/I |
---|
Stock Gravity Pro | 2018 | 68.6 | 332 | 32.0 | 332 | 171.3 | 0.52 | 20.37 |
---|
Rublev’s Gravity Pro | 2019 | 68.6 | 359 | 31.0 | 335 | 176.7 | 0.49 | 20.92 |
---|
*
All specs are strung specs, as they will be throughout this post.
Rublev’s racquet tech adds 20.4 grams around 16cm up the handle, probably in the form of gobs of silicon, plus 1.6g of tape at 10 & 2. Then Rublev adds an overgrip and, after all is stuck n’ done, balance has dropped from 7 HL to 10 HL. Meanwhile, swingweight has risen (barely), and it makes sense because mass added anywhere on a frame increases SW (even if sometimes unnoticeably).
What’s surprising is the rise in RW. I’d think that adding even that much weight that far up a 22cm handle would reduce recoil. But only the polarization index decreases, from 0.52 to 0.49, which doesn’t seem to make sense. How does a mod job lower the polarization index but raise recoil weight when they’re supposed to be the same thing?
Breaking it down, a 5g overgrip increases polarization from 0.5156 to 0.5159 and increases RW from 171.3 to 173.7. OK, that makes sense. What’s less obvious is that the other added weight (a whopping 22 grams of it) rose proportionally more than its distribution raised recoil weight. Indeed, weight increased 8% while RW increased only 3%, making the polarization index fall, by the numbers. This means that
if the weight is big enough and/or its distribution is far enough from the poles, then a frame’s polarization index (being a ratio of RW) can drop even as its recoil weight (an absolute value) rises.
Here’s another fun fact. MgR/I rises when weight is added below the balance point but falls from weighting above it. This makes MgR/I different from recoil weight and the polarization index in that it can indicate which end is more polarized.
How exactly does MgR/I change with weight distribution? When weight is added under the buttcap, MgR/I barely rises. From there,
the higher up weighting is placed, the more MgR/I increases until mass is placed at the balance point, where MgR/I begins to drop back down. The higher mass is placed above the balance point, the more MgR/I drops, ending up lower than the starting MgR/I. This table displays the phenomenon when 9 grams of weighting is moved up a frame with stock specs of 320g, 33cm balance, 325 SW, and 20.54 MgR/I:
9g AT VARYING LOCATIONS | butt | handle | b/p | hoop | tip |
---|
9-gram Location: | 1 cm | 17 cm | 33 cm | 50 cm | 68 cm |
---|
Resulting MgR/I: | 20.55 | 20.73 | 20.71 | 20.50 | 20.07 |
---|
MgR/I change from 20.54: | +0.01 | +0.19 | +0.17 | -0.04 | -0.47 |
---|
While I find these patterns fascinating, you might well ask, “Do I really need to know this MgR/I stuff?” The short answer is no, not unless you’re, say, micro-adjusting down the 21.5 MgR/I of your 350g frame for added spin.
‘Truth is, the most popular racquets are between 20.4 and 20.8 MgR/I. Not coincidentally, that’s the standard deviation of 2022’s top-sellers, which average 20.58 MgR/I. In this midrange there are so many combinations of weight, balance, and SW that can reach any one MgR/I that seeking MgR/I as some kind of a benchmark is almost meaningless.
Take Wilson’s Ultra 100 v.4 with its light, very evenly distributed weighting and 4 HL balance. Compare that to Yonex’s Vcore 95 with its heavy-ish, more handle-weighted 7 HL balance. For all their differences, these frames have virtually identical MgR/Is and swingweights:
| of
Year | Length
[cm] | Weight
[grams] | Balance
[cm] | Swing
Weight | Recoil
Weight | Polariz’n
[RW/Wt] | MgR/I |
---|
Wilson Ultra 100 v.4 | 2022 | 68.6 | 318 | 33.0 | 317 | 148.8 | 0.47 | 20.78 |
---|
Yonex Vcore 95 | 2020 | 68.6 | 326 | 32.0 | 316 | 158.2 | 0.49 | 20.79 |
‘Think, maybe, such pairings are outliers? Try this one on for size:
| of
Year | Length
[cm] | Weight
[grams] | Balance
[cm] | Swing
Weight | Recoil
Weight | Polariz’n
[RW/Wt] | MgR/I |
---|
Head Boom MP | 2022 | 68.6 | 315 | 32.7 | 318 | 155.7 | 0.49 | 20.51 |
Tecnifibre Tfight RS 305 | 2020 | 68.6 | 323 | 33.5 | 333 | 154.9 | 0.48 | 20.51 |
So I say, don’t bother with MgR/I if you haven’t already. Get to know your favorite recoil weight instead. It’ll tell you a lot about why some racquets with the same specs can feel “mysteriously” different.
But if you’ve already started down the MgR/I rabbit hole, consider that spec measures are most useful in combination versus targeting some absolute value in any one of them, as some tend to do with MgR/I. Together, specs paint a vivid picture of how a racquet can perform. Learning how to see that in the numbers is fun (to us geeks at least), and getting to enjoy the results on court, the most fun of all.