---
title: "Kinematic Mount Resolution calculator — AperiOptic"
description: "Angular tilt per rev/turn from screw pitch and lever arm. Free online optics calculator, with the formula and code snippets."
url: "https://aperioptic.com/calculators/kinematic-mount-resolution"
---

# Kinematic Mount Resolution calculator

Angular tilt per rev/turn from screw pitch and lever arm.

Category: [Optomechanics](https://aperioptic.com/calculators)

Formula: `Δθ = pitch / (arm) per full turn`

## Inputs

| Input | Parameter | Unit | Default |
| --- | --- | --- | --- |
| Threads per inch | `TPI` |  | 100 |
| Lever arm | `arm` | mm | 25.4 |
| Knob fraction | `frac` |  | 0.01 |

## Result with the default inputs

- Per full turn: 10 mrad
- Per 0.01 turn: 100 µrad

Open it with your own values: put each input in the address as a parameter, for example [`/calculators/kinematic-mount-resolution?TPI=100`](https://aperioptic.com/calculators/kinematic-mount-resolution?TPI=100). A unit other than the listed one goes in `<parameter>_unit`.

Read more: [Wikipedia: Kinematic coupling](https://en.wikipedia.org/wiki/Kinematic_coupling)

[All optics calculators](https://aperioptic.com/calculators)

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The interactive page: https://aperioptic.com/calculators/kinematic-mount-resolution (AperiOptic runs in the browser; free, no account). Every page of the site as Markdown: https://aperioptic.com/llms.txt