The Physics of Golf · by Brendon Elliott, PGA Coach

Your putter is probably fighting your stroke.

Putters get sold on looks, badge, and the pro who won with one. But four numbers — toe-hang, MOI, loft, and length — either match your stroke or quietly sabotage it. Buy by physics, not marketing.

Start with pace
01 Toe hang vs. your arc

The face has to return square. Balance decides whether it does.

Every stroke swings on a natural arc — the more your hands rotate, the more the face opens and closes. A putter's balance either cooperates or resists. Match them and the face returns square. Mismatch them and it returns open or closed — the ball starts offline before break, slope, or nerves ever get a vote.

Match
Start-line error
Shape is not balance. A mallet is not automatically face-balanced and a blade is not automatically toe-hang — plenty of mallets have strong toe-hang and plenty of blades sit near face-balanced. Ignore the silhouette. Balance the shaft on your finger, read the real toe-hang, and match it to your arc.
Each step of mismatch ≈ 1.2° of face error at impact; start line ≈ 83% of face angle (the face-rule). Straight distances only — this isolates fit, so no slope or break is applied.
02 MOI & the mishit

"Forgiveness" is not a feeling. It's a moment of inertia.

Nobody strikes the center every time. An off-center hit twists the face about the head's center of gravity during the half-millisecond the ball is on it — starting the ball offline and bleeding distance. How much it twists is set by one number the marketing rarely leads with: MOI. Slide the strike off center and watch the two heads disagree.

Face twist
Start miss @ 6 ft
Distance lost
Head MOI
Forgiveness is real, measurable physics. A high-MOI mallet twists less per unit of miss, so a heel or toe strike starts closer to your line and holds more of its speed. A blade demands a centered strike — off the sweet spot it punishes you twice, on line and on distance. That's the trade you're actually buying.
faceTwist ≈ (m·v·b·Δt)/I · (180/π); distance retained ≈ k²/(b²+k²) with k²=I/mhead. Face rotation in the canvas is visually exaggerated for legibility — the readouts are the true magnitudes. Gear effect in putting is weak; treat numbers as order-of-magnitude.
And the quiet one: length. Most amateurs play a putter that's too long — often because 34–35″ is simply what sits on the rack. Too much length forces you to stand back and pushes your eyes inside the target line. From inside, your visual sense of "straight" bends the aim, so you set up open or closed before the stroke even starts. Get fit for length until your eyes sit over or just inside the ball — the cheapest accuracy you'll ever buy.
The takeaway

Fit is physics. Buy the number, not the badge.

01

Match toe-hang to your arc

Not to the brand, the tour win, or the shape. Straight stroke → face-balanced. Arc → toe-hang.

02

Mallet ≠ auto-forgiving

Forgiveness is the MOI number, not the silhouette. Check the g·cm², not the outline.

03

Most amateurs' putters are too long

Extra length pushes your eyes inside the line and biases your aim before you move.

04

Loft exists for a reason

2–4° lifts the ball out of the tiny depression it rests in, so it rolls instead of hopping.

Now go feel it

A fit putter only matters if your stroke repeats.

Perfect toe-hang can't save a stroke that returns the face somewhere new every time. Fit removes the equipment excuse — then reps build the repeatable stroke that makes the fit worth anything. Groove it at a true Stimp 10 on your PrimePutt mat until square is the only thing your hands know.

Get the mat PGA pros use →
The PGA translation

What this actually means for your putting.

Coach Brendon Elliott
Coach Brendon's Translation
Plain-English PGA read · Brendon Elliott, PGA
The lesson
The putter should fit your stroke — you shouldn't have to fight the putter to match it.
The mistake most golfers make
Buying the putter a tour pro uses. A face-balanced blade in a strong-arc stroke fights you on every putt.
One feel to use
Let the head release the way it wants. If you're steering it back to square, the toe-hang is wrong for you — not your stroke.
One drill on your PrimePutt mat
Roll ten putts letting the head swing on its natural arc. If the ball starts online, the fit's close; if it leaks one way, note it for a fitting.
Draft translation seeded from Coach Brendon's notes — for his review and final wording.
The Physics of Golf — a 6-part series

Keep going — you just read Chapter 5.

Honest caveats. Gear effect in putting is real but weak — far weaker than in a driver. The toe-hang / arc match uses a linear face-error model (1.2° per mismatch step) and the ~83% face-rule; the MOI twist and distance-loss formulas are first-order approximations. Directions are right; magnitudes are order-of-magnitude illustrations of one head, not a launch-monitor reading of yours. Get fit in person before you buy.
Coach Brendon Elliott
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