Sprocket Speed Calculator

Sprocket Speed Calculator:

Enter the values of driving Sprocket Speed, V_1(RPM), Number of teeth on Driver Sprocket, T₁and Number of teeth on Driven Sprocket, T₂ to determine the value of  Driven Sprocket Speed, V_2(RPM).

Enter Driven Sprocket Speed (V1) :		RPM
Enter Number of Teeth on Driver Sprocket (T1):
Enter Number of Teeth on Driven Sprocket (T2):
Result – Driving Sprocket Speed (V2):		RPM

Sprocket Speed:

Sprocket speed describes the rate at which a driven sprocket rotates within a chain drive setup. It plays a key role in transmitting mechanical power across systems such as bicycles, motorcycles, conveyors, and various industrial machinery.

The speed of the driven sprocket is determined by the speed of the driving sprocket and the number of teeth on both the driver and driven sprockets.The larger the driven sprocket compared to the driver sprocket, the slower it will rotate, and vice versa.

This inverse relationship arises due to the fixed chain length and uniform motion transfer between the sprockets.The driving sprocket (input) transmits rotational motion through a chain to the driven sprocket (output).

The gear ratio, determined by the number of teeth, helps in adjusting the torque and speed of the output sprocket.A smaller driven sprocket increases the speed but reduces torque, whereas a larger one reduces speed and increases torque.

This principle is similar to pulleys or gears in mechanical systems.Sprocket systems are commonly used where slip-free power transmission is essential.The formula helps calculate the driven sprocket speed (V₂) based on known values of driver speed (V₁) and the teeth ratio.

Proper sprocket size selection ensures the system runs efficiently and suits the desired speed or torque.Changing sprocket sizes is an easy way to tune a mechanical system’s performance.

The speed values are typically measured in RPM (revolutions per minute).Sprockets should be aligned properly to avoid chain wear and maintain correct speed ratios.
Periodic maintenance and correct chain tension ensure accurate sprocket speed and system reliability.

Driven Sprocket Speed, V_2(RPM)in rotations per minute equals the Driving Sprocket Speed, V_1(RPM)in rotations per minute divided by Number of teeth on Driver Sprocket, T₁ divided by Number of teeth on Driven Sprocket, T₂.

Driven Sprocket Speed, V_2(RPM)= V_1(RPM)/ (T₁/ T₂)

V_1(RPM)= driving sprocket speed in rotations per minute, RPM.

V_2(RPM)= driven sprocket speed in rotations per minute, RPM.

T₁= number of teeth on driver sprocket.

T₂  = number of teeth on driven sprocket.

Sprocket Speed Calculation:

1. A driving sprocket rotates at 1200 RPM and has 20 teeth. The driven sprocket has 40 teeth. Find the speed of the driven sprocket.

Given: V_1(RPM)= 1200RPM, T₁= 20teeth, T₂  = 40teeth.

Driven Sprocket Speed, V_2(RPM)= V_1(RPM)/ (T₁/ T₂)

V_2(RPM)= 1200 / (20 / 40)

V_2(RPM)= 1200 / 0.5

V_2(RPM)= 2400RPM.

2. A driven sprocket rotates at 900 RPM. The driving sprocket has 15 teeth and the driven sprocket has 45 teeth. Find the speed of the driving sprocket.

Given: V_2(RPM)= 900RPM, T₁= 15teeth, T₂  = 45teeth.

Driven Sprocket Speed, V_2(RPM)= V_1(RPM)/ (T₁/ T₂)

V_1(RPM)= V_2(RPM)* (T₁/ T₂)

V_1(RPM)= 900 * (15 / 45)

V_1(RPM)= 900 * 0.333

V_1(RPM)= 300RPM.