๐ Mechanical Suite
โ๏ธ Gear Ratio Calculator
Calculate speed, torque, and mechanical advantage for gear-driven systems. Perfect for robotics, automotive design, and industrial machinery projects.
๐ง Ratio & Torque Solver
๐ Understanding Gear Ratios
A gear ratio is the relationship between the number of teeth on two gears that are meshed or two pulleys connected with a common belt. It defines how much the speed or torque of the input shaft is transformed at the output shaft.
Torque vs. Speed Trade-off
In any gear system, there is a fundamental trade-off governed by the law of conservation of energy (excluding losses to friction):
- To Increase Torque: Use a smaller driver gear to turn a larger follower gear (Reduction). This slows down the output but multiplies strength.
- To Increase Speed: Use a larger driver gear to turn a smaller follower gear (Overdrive). This increases speed but reduces the available torque.
๐ Types of Gear Engagement
Different gear types are designed for specific orientations and load requirements.
โ๏ธ Spur Gears
Used for parallel shafts. The simplest and most common type, though they can be noisy at high speeds.
๐ Helical Gears
Similar to spur gears but teeth are cut at an angle. This allows for smoother and quieter operation under high loads.
โฐ๏ธ Bevel Gears
Designed to transfer motion between intersecting shafts, typically at a 90-degree angle (like a car differential).
๐ Worm Gears
A spiral screw (worm) meshes with a gear. Provides very high reduction ratios in a compact space and prevents back-driving.