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How Sprocket Choice Affects Theoretical Speed and Torque

By kunray September 19th, 2026 11 views

Quick answer: the motor sprocket is a torque-versus-speed trade. A smaller motor sprocket raises the overall reduction ratio, which multiplies torque at the wheel and lowers theoretical top speed. A larger one does the reverse. The size of the change is not a feeling — it is arithmetic, and you can compute it exactly, provided you have the inputs. What you cannot do is read a top speed or a climbing ability off a sprocket tooth count alone.

This article gives you the formula, the seven inputs it needs, a worked 9T-versus-11T comparison, and the limits of what the result means.


The formula

Four steps. Every quantity is defined so you can substitute your own numbers.

Step 1 — Overall reduction ratio

R = rear sprocket teeth ÷ motor sprocket teeth

Step 2 — Wheel speed

wheel RPM = motor RPM ÷ R

Step 3 — Wheel circumference

circumference (m) = π × wheel diameter (m)

Step 4 — Theoretical vehicle speed

speed (km/h) = wheel RPM × circumference (m) × 60 ÷ 1000

And for torque, at the wheel:

wheel torque = motor torque × R × drivetrain efficiency

On that last term: drivetrain efficiency is not a single published number — it depends on your chain condition, alignment and lubrication. Treat it as an input you choose and state, not as a specification you can quote. If you want a conservative theoretical figure, apply an efficiency below 1.0 and say so. Leaving it out gives you an ideal figure, which is fine as long as you label it as ideal.


The seven inputs you need

You cannot skip any of these. If one is missing, the result is not a prediction — it is a guess with units.

# Input Where it comes from
1 Motor RPM at the operating point you care about Sales literature gives a rated figure and a reported maximum. Which one applies depends on load and voltage — see the caveat below.
2 Motor sprocket teeth Your chosen sprocket
3 Rear sprocket teeth Your wheel
4 Wheel diameter Measure it — tyre size and inflation change the rolling diameter
5 Motor torque at that same operating point Rated and peak torque are different figures
6 Drivetrain efficiency Your own assumption — state it
7 Total vehicle weight and the slope Needed before any of this says anything about real performance

Inputs 1, 2, 3, 4 and 6 are enough to produce a theoretical speed. Inputs 5 and 7 are what you need before the number means anything about acceleration, climbing or thermal load.


Worked example: #35 9T versus #35 11T

Stated inputs (illustrative — substitute your own):

  • Motor speed at the operating point: 4000 rpm
  • Rear sprocket: 44 T (assumed)
  • Wheel diameter: 400 mm → circumference = π × 0.400 = 1.2566 m
  • Motor sprocket: 9 T versus 11 T
9 T motor sprocket 11 T motor sprocket
Overall reduction ratio 44 ÷ 9 = 4.889 44 ÷ 11 = 4.000
Wheel RPM at 4000 motor rpm 4000 ÷ 4.889 = 818 rpm 4000 ÷ 4.000 = 1000 rpm
Theoretical speed 818 × 1.2566 × 60 ÷ 1000 = 61.7 km/h 1000 × 1.2566 × 60 ÷ 1000 = 75.4 km/h
Wheel torque, for the same motor torque ×4.889 (reference) ×4.000 = −18.2 %
Theoretical speed change vs. 9 T +22.2 %

Read that table as one sentence: moving from 9T to 11T makes the same motor spin the wheel 22.2 % faster and delivers 18.2 % less torque — assuming the motor can still reach 4000 rpm under the new load, which is the assumption this calculation cannot make for you.

Notice the two percentages are reciprocals (11 ÷ 9 = 1.222, and 9 ÷ 11 = 0.818). That is the whole mechanism: a sprocket change redistributes, it does not create. If you want both more speed and more torque, the sprocket is the wrong component to change.


The five recorded sprocket options — and the two shaft groups

The MY1030 family has five reported standard sprocket options:

Sprocket standard Teeth Shaft type
25H 11 T A
T8F 11 T A
#35 9 T B
#35 11 T B
420 10 T B

The rule that catches people out: these sit in two shaft groups.

  • Group A — 25H and T8F — runs on the A-type shaft (D-flat, Ø10 machined to 8.5).
  • Group B — #35 and 420 — runs on the B-type shaft (double-flat, Ø14.95 machined to 12).

The two groups are not interchangeable by default, and swapping across them normally means changing the output shaft type as well. When you order, confirm the sprocket and the output shaft type together — not just the tooth count.

Two further cautions worth carrying with you. First, do not treat 25H and #25 as automatically the same standard — check the chain designation and dimensions before you buy. Second, always check the chain standard against what is actually on your vehicle.


What the result does not say

This is where sprocket maths gets oversold, so here is the boundary clearly:

The calculation does not tell you Why
Real top speed It assumes the motor holds that RPM under load. Wind, rolling resistance, gradient and weight all reduce it.
Acceleration That depends on torque at the wheel and total mass — a separate calculation.
Hill-climbing ability Depends on the sustained torque available against gravity plus rolling load.
Whether the setup will overheat Taller gearing loads the motor harder at low speed, which raises current and heat. The sprocket calculation says nothing about this.
Whether the controller will allow it The controller's current limit may cap what the motor can deliver long before the gearing matters.
Whether it fits Chain length, chain line, sprocket-to-frame clearance and spoke/rim pattern are all separate checks.

The thermal link deserves one extra sentence, because it is the one people miss: gearing changes the load the motor sees, and load changes current, and current changes heat. A ratio that looks great in the speed formula can push the motor into sustained current it cannot shed — which is exactly the situation where a temperature sensor earns its place, provided the controller is configured to act on it.


A method that converges

Rather than guessing, work in this order:

  1. Write down your target. A top speed figure, or "climb this slope with this load" — pick one primary objective.
  2. Fix the rear sprocket and wheel first if you can. Fewer variables.
  3. Compute the overall reduction ratio for each candidate motor sprocket using the formula above.
  4. Compute theoretical speed for each, with your stated inputs written next to the number.
  5. Compare torque multipliers (the R values) — that tells you what you gave up for the speed.
  6. Check the shaft group and chain standard before ordering.
  7. Verify fit: chain length, chain line, clearance, and whether the rear sprocket needs changing too.
  8. Then check the thermal picture — sustained current, airflow, and whether temperature protection is configured.
  9. Test incrementally. Change one thing, measure, record it. A test log with real numbers beats any theoretical table, including this one.


FAQ

Is a smaller motor sprocket better for climbing? It raises the reduction ratio, which multiplies torque at the wheel. Whether that makes the vehicle climb better also depends on whether the motor can deliver that torque without exceeding its sustained current — which is a thermal question, not a sprocket question.

9T or 11T for the #35 sprocket? Compute both with your own rear sprocket, wheel diameter and motor RPM. In the worked example above, the 11T gave 22.2 % more theoretical speed and 18.2 % less wheel torque. There is no universally correct answer, because the correct answer depends on your weight, terrain and target.

Can I mix a 25H sprocket with a #35 rear sprocket? Not as a like-for-like swap. 25H and T8F use the A-type shaft; #35 and 420 use the B-type shaft. Cross-group changes normally involve a shaft type change too — so treat this as a system decision, not a sprocket decision.

Can I use a 420 sprocket on a #35 shaft? No — 420 sits in the B group alongside #35, but it is a different chain standard. Confirm the chain, the rear sprocket and the target ratio together, and confirm the specific combination with Kunray before ordering.

Will a bigger motor sprocket make my vehicle faster? It raises the theoretical speed at a given motor RPM, and reduces torque at the wheel by the same proportion. Whether you actually see that speed depends on whether the motor can still reach that RPM under the higher load.

Doesn't more speed also mean more top-end power? Not automatically. Power is a function of torque and speed together, and what the system can sustain depends on the controller's current limit and the motor's thermal capacity. A taller ratio can make a build slower in practice if the motor cannot hold the RPM you assumed.

Do I need to change the chain when I change the sprocket? Check it. The chain standard must match the selected sprocket, and the length and tension range must suit the new geometry. Keep the existing chain only if the standard matches and the chain line and tension still work.

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