Sprocket Speed Calculator

Formula

The formula to calculate the Output Velocity (V2) is:

\[ \text{V2} = \frac{\text{V1}}{\frac{\text{T1}}{\text{T2}}} \]

Where:

\(\text{V2}\) is the output velocity (RPM)
\(\text{V1}\) is the input velocity (RPM)
\(\text{T1}\) is the teeth count of the driving sprocket
\(\text{T2}\) is the teeth count of the driven sprocket

What is Sprocket Speed?

A sprocket speed is defined as an output velocity, typically represented in RPM, of a bike or gear system that has a given input velocity and sprocket ratio.

Example Calculation

Let's assume the following values:

Input Velocity (V1) = 100 RPM
Sprocket Teeth Count (T1) = 20
Sprocket Teeth Count (T2) = 40

Using the formula:

\[ \text{V2} = \frac{100}{\frac{20}{40}} = \frac{100}{0.5} = 200 \]

The Output Velocity (V2) is 200 RPM.