Motorcycle sprocket speed change calculator

Calculate original final reduction and new final reduction with your own figures.

Your numbers

Use the units shown. Results update as you change valid inputs.

Use original final reduction and new final reduction to compare changes to your inputs. The method and limits below explain the scope.

Examples

Examples

Try the starting example

Original front sprocket (teeth)
15
Original rear sprocket (teeth)
45
New front sprocket (teeth)
16
New rear sprocket (teeth)
44
Original final reduction
3
New final reduction
2.75
Speed per engine RPM change (%)
9.090909
Engine RPM at same road speed change (%)
-8.333333

Try another scenario

Original front sprocket (teeth)
15
Original rear sprocket (teeth)
45
New front sprocket (teeth)
14
New rear sprocket (teeth)
48
Original final reduction
3
New final reduction
3.428571
Speed per engine RPM change (%)
-12.5
Engine RPM at same road speed change (%)
14.285714
Calculation method

Calculation method

Original final reduction

oldRear/oldFront.

New final reduction

newRear/newFront.

Speed per engine RPM change (%)

100*((newFront/newRear)/(oldFront/oldRear)-1).

Engine RPM at same road speed change (%)

100*((newRear/newFront)/(oldRear/oldFront)-1).

Symbols and units
a
Original front sprocket (teeth)
b
Original rear sprocket (teeth)
c
New front sprocket (teeth)
d
New rear sprocket (teeth)

Use the units shown. A list keeps the order in which you enter its values. The symbol ^ means “raised to the power of”.

Assumptions & limits

Assumptions & limits

  • Ideal final-drive ratio comparison holding tire rollout and all other gearing constant. No top-speed prediction, fit, chain length, speedometer or road legality inference. Supported limits: Positive integer tooth counts; 1..1000.
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