Planetary Gear Calculator 1.0

Heng Jia Liang – Commercial – iOS
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The Planetary Gears Calculator offers a robust solution for calculating gear teeth and speed within planetary gear systems. Additionally, it provides a real-time simulation of planetary gear functionality.

This tool proves particularly beneficial for DIY enthusiasts aiming to efficiently design their own planetary gear systems. Users can preview the workings of these systems prior to 3D printing their custom designs.

Key formulas for planetary gear systems include:
<ul>
 <li>Sun Teeth = Ring Teeth - 2 × Planet Teeth</li>
 <li>Planet Teeth = (Ring Teeth - Sun Teeth) / 2</li>
 <li>Ring Teeth = Sun Teeth + 2 × Planet Teeth</li>
</ul>

Where ST denotes sun teeth, PT represents planet teeth, and RT stands for ring teeth. The speeds are determined by the following equations:
<ul>
 <li>Sun Speed = (ST + RT) / ST × Planet Carrier Speed - RT / ST × Ring Speed</li>
 <li>Planet Carrier Speed = RT / (ST + RT) × Ring Speed + ST / (ST + RT) × Sun Speed</li>
 <li>Ring Speed = (ST + RT) / RT × Planet Carrier Speed - ST / RT × Sun Speed</li>
</ul>

Planetary gear systems, also known as epicyclic gear systems, play a critical role in contemporary engineering applications. They facilitate speed variation and are commonly integrated into automatic car transmissions, industrial mixers, operating tables, and solar arrays.

The essential components of these systems include the ring gear, sun gear, and planetary gears, which are connected to a central carrier.

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