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โš™๏ธ Gear Ratio Calculator

Calculate speed, torque, and mechanical advantage for gear-driven systems. Perfect for robotics, automotive design, and industrial machinery projects.

Industrial Gears System

๐Ÿ”ง Ratio & Torque Solver

Gear Ratio
2.00:1
Output Torque
2.00 Nm
Output Speed
500 RPM
Mech. Advantage
2.0x

๐Ÿ“– 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.

Gear Ratio = T2 / T1 = D2 / D1 = RPM1 / RPM2

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.

๐Ÿ“ Types of Gear Engagement

Different gear types are designed for specific orientations and load requirements.

Diagram of Gear Types

โš™๏ธ Spur Gears

Used for parallel shafts. The simplest and most common type, though they can be noisy at high speeds.

๐ŸŒ€ Helical Gears

Similar to spur gears but teeth are cut at an angle. This allows for smoother and quieter operation under high loads.

โ›ฐ๏ธ Bevel Gears

Designed to transfer motion between intersecting shafts, typically at a 90-degree angle (like a car differential).

๐Ÿ› Worm Gears

A spiral screw (worm) meshes with a gear. Provides very high reduction ratios in a compact space and prevents back-driving.