Understanding the BL2 Gear Model
A gear calculator helps turn simple tooth counts into useful physics values. The BL2 updated gear setup treats every stage as a driver gear and a driven gear. The ratio comes from driven teeth divided by driver teeth. That ratio tells how speed and torque change through the mesh.
Why Ratios Matter
A larger driven gear gives more output torque. It also lowers output speed. A smaller driven gear raises output speed. It lowers output torque. This tradeoff is central to machines, robots, bicycles, lab rigs, and classroom experiments. The calculator also accepts multiple stages. Each stage ratio multiplies into the total ratio. This makes compound gear trains easier to compare.
Speed, Torque, and Efficiency
Input speed is measured in revolutions per minute. Output speed equals input speed divided by the total ratio. Input torque is multiplied by the total ratio. Then efficiency losses are applied. Real gears lose energy through friction, heat, bearing drag, and alignment errors. The efficiency field helps estimate practical performance instead of ideal performance.
Force and Pitch Checks
The pitch diameter helps estimate tangential tooth force. This force equals torque divided by pitch radius. The calculator converts torque and diameter into a practical force reading. It also estimates pitch line velocity. This value is useful when comparing wear, noise, lubrication needs, and safe operating ranges. Higher pitch speed often needs better materials and careful mounting.
Using Results in Physics Work
Use the result panel to compare output speed, torque, total ratio, force, and power. Try different tooth counts to see how design choices change the result. Use the example table as a quick guide. It shows common gear cases and expected behavior. Download the CSV file for spreadsheets. Use the PDF button for reports or assignments.
Good Input Habits
Use positive tooth counts. Avoid zero values. Use realistic efficiency values between one and one hundred. Check the module field when estimating center distance. Enter a larger stage count when a compound train is used. Small errors in one stage can become large after multiplication. Always compare the result with physical limits before building a mechanism.
Save each trial note with units. This also greatly improves reviews and later classroom checks.