# Moment of Inertia matrix

**URL:** <https://forum.universal-robots.com/t/moment-of-inertia-matrix/16032>\
**Category:** Technical Questions\
**Created:** [August 23, 2021, 8:30am UTC](https://forum.universal-robots.com/t/moment-of-inertia-matrix/16032 "2021-08-23T08:30:52Z")\
**Posts on this page:** 5\
**Page:** 1

<div class="post-metadata">

**Author:** ![kseo](https://sea2.discourse-cdn.com/flex020/user_avatar/forum.universal-robots.com/kseo/32/2991_2.png) [@kseo](https://forum.universal-robots.com/u/kseo)\
**Post date:** [August 23, 2021, 8:30am UTC](https://forum.universal-robots.com/t/moment-of-inertia-matrix/16032/1 "2021-08-23T08:30:52Z")

</div>

Hi.

I found the information of Moment of Inertia.

[Moment of Inertia for Newton-Euler Dynamic]  
([Moment of Inertia for Newton-Euler Dynamic - #2 by Ebbe](https://forum.universal-robots.com/t/moment-of-inertia-for-newton-euler-dynamic/14844/2)):

But there are wrong data which i think in urcontrol.conf.UR3 and urcontrol.conf.UR5 file.

In urcontrol.conf.UR5

inertia\_matrix = [[0, 0, 0, 0, 0, 0, 0, 0, 0],  
[0, 0, 0, 0, 0, 0, 0, 0, 0],  
[0, 0, 0, 0, 0, 0, 0, 0, 0],  
[0, 0, 0, 0, 0, 0, 0, 0, 0],  
[0, 0, 0, 0, 0, 0, 0, 0, 0],  
[0, 0, 0, 0, 0, 0, 0, 0, 0.000144] ]

In urcontrol.conf.UR16

inertia\_matrix = [[0.03351, 0.00002, -0.00001, 0.00002, 0.03374, 0.00374, -0.00001, 0.00374, 0.02100],  
[0.02796, -0.00010, -0.00720, -0.00010, 0.47558, 0.00003, -0.00720, -0.00001, 0.47635],  
[0.01091, 0.00006, 0.01012, 0.00006, 0.12060, 0.00001, 0.01012, 0.00001, 0.11714],  
[0.00609, -0.00001, -0.00000, -0.00001, 0.00245, 0.00083, 0.00000, 0.00083, 0.00579],  
[0.00389, -0.00001, 0.00000, -0.00001, 0.00219, -0.00045, 0.00000, -0.00045, 0.00363],  
[0.00117, 0.00000, 0.00000, 0.00000, 0.00118, 0.00000, 0.00000, 0.00000, 0.00084] ]

The inertia data of UR5 and UR16 are very different.  
Is that correct data ?

And i find Moment of Inertia of e-series cobot.

thank you

---

<div class="post-metadata">

**Author:** ![osn](https://sea2.discourse-cdn.com/flex020/user_avatar/forum.universal-robots.com/osn/32/2558_2.png) [@osn](https://forum.universal-robots.com/u/osn)\
**Post date:** [September 15, 2021, 8:20am UTC](https://forum.universal-robots.com/t/moment-of-inertia-matrix/16032/2 "2021-09-15T08:20:17Z")

</div>

Hi

It is correct that the models would be more accurate if the inertias of UR3e and UR10e were estimated, and not just zeros.

The effective difference is however not very big, so the benefit of adding it would be minimal. And if we changed it, the new values would alter how the robot moved a bit, meaning that suddenly the cycle times of applications would change a tiny bit, which could be problematic for some applications.

---

<div class="post-metadata">

**Author:** ![kseo](https://sea2.discourse-cdn.com/flex020/user_avatar/forum.universal-robots.com/kseo/32/2991_2.png) [@kseo](https://forum.universal-robots.com/u/kseo)\
**Post date:** [February 23, 2022, 7:14am UTC](https://forum.universal-robots.com/t/moment-of-inertia-matrix/16032/3 "2022-02-23T07:14:01Z")

</div>

Hello

Thank you for your answer.

My research require the inertia matrix data of Universal Robot.

How can I find this data?

Thanks.

---

<div class="post-metadata">

**Author:** ![anon74160119](https://avatars.discourse-cdn.com/v4/letter/a/4af34b/32.png) [@anon74160119](https://forum.universal-robots.com/u/anon74160119)\
**Post date:** [December 8, 2022, 10:39am UTC](https://forum.universal-robots.com/t/moment-of-inertia-matrix/16032/4 "2022-12-08T10:39:38Z")

</div>

sorry to bother, but had u found it yet. can u tell me where i can find it

---

<div class="post-metadata">

**Author:** ![saracerqueira1996](https://avatars.discourse-cdn.com/v4/letter/s/ed655f/32.png) [@saracerqueira1996](https://forum.universal-robots.com/u/saracerqueira1996)\
**Post date:** [January 12, 2023, 11:49am UTC](https://forum.universal-robots.com/t/moment-of-inertia-matrix/16032/5 "2023-01-12T11:49:03Z")

</div>

Hi there!

Can anyone explain me why the Inertia matrix is 9x6? shouldn’t it be 6x6?

inertia\_matrix = [[0.03351, 0.00002, -0.00001, 0.00002, 0.03374, 0.00374, -0.00001, 0.00374, 0.02100],  
[0.02796, -0.00010, -0.00720, -0.00010, 0.47558, 0.00003, -0.00720, -0.00001, 0.47635],  
[0.01091, 0.00006, 0.01012, 0.00006, 0.12060, 0.00001, 0.01012, 0.00001, 0.11714],  
[0.00609, -0.00001, -0.00000, -0.00001, 0.00245, 0.00083, 0.00000, 0.00083, 0.00579],  
[0.00389, -0.00001, 0.00000, -0.00001, 0.00219, -0.00045, 0.00000, -0.00045, 0.00363],  
[0.00117, 0.00000, 0.00000, 0.00000, 0.00118, 0.00000, 0.00000, 0.00000, 0.00084] ]

Thanks!!
