Create a cogwheel/ cog/ gear.

**Teeth** - set the number of teeth or cogs.

**Pitch Radius** - set the radius from the centre to the midpoint of the tooth.

**Hole Radius** - set the radius of the hole.

**Tooth Depth** - set a value for the total height of the teeth.

**Tooth Width** - set the width of the tooth at its midpoint.

**Tooth Taper** - set the inner and outer taper angles for the teeth.

**Midpoint Position** - set the midpoint of the Teeth from 0 - 1. 0 is the base of the tooth and 1 is the tip.

In order to create a gear system there are some basic guides to follow:

The

**Module**of each Cogwheel must match. The module is a ratio which can be easily expressed as:**pitch diameter / the number of teeth**. Or in Cavalry's case:2 *

**Pitch Radius**/**Teeth.**

The teeth must be the same shape/size.

The

**Pitch Circle**of one Cogwheel must 'touch' the other.

In the example below:

the

**Medium**Cogwheel has a**Pitch Radius**of**200**and**12****Teeth.**the

**Small**Cogwheel has a**Pitch Radius**of**100**and**6****Teeth.**the

**Large**Cogwheel has a**Pitch Radius**of**400**and**24****Teeth.**

** 200 / 12**,

`100 / 6`

`400 / 24`

`16.66`

The math for the rotation is also quite simple. If:

**r1**= Rotation of the Medium Cogwheel**t1**= Number of Teeth of the Medium Cogwheel**r2**= Rotation of the Small Cogwheel**t2**= Number of Teeth of the Small Cogwheel

â€‹$r2 = r1 * t1 / t2$â€‹

so in the case of **Medium** > **Small **that would be:

â€‹$r2 = r1 * 12/6$

You can use a Jsmath Atom to rig this equation up.

Create a Jsmath Atom.

Add 3 indices.

Connect

**Medium.rotation > jsmath.index0**Connect

**Medium.teeth > jsmath.index1**Connect

**Small.teeth > jsmath.index2**Connect

**jsmath.id > Small.rotation**

As you rotate the **Medium** Cogwheel, the **Small** Cogwheel will rotate at the correct speed to mesh. In order to position them correctly you'll need to move them 300 apart in X (the total of their Pitch Radius values).