Continue Discussion 100 replies
Mar '15

cameron-9

Hi there, this is a great post. However, I am struggling to grasp how you go mathematically from M.a = M.g.sin theta + T/R, to M.R(a + g.sin theta). I get M.R(a - g.sin theta). Both beginning and end make sense, I just can’t make the maths work.

1 reply
Mar '15 ▶ cameron-9

cbenson Regular

@Cameron https://www.robotshop.com/blog/en/files/sunforcebal.jpg may be wrong: in a force balance, Ma = T/R-Mg*sin(theta). Friction is up the incline, in the direction of the acceleration (which is contrary to a ball rolling down the incline).

Mar '15

peter-69

Great article. I am in the process of making a unit to traverse around the farm and change attachments to do various tasks. This article has been a huge help. I am a sparky by trade and therefore doing a hybrid diesel/electric unit using 3 phase geared motors at the drive wheels and controlling these using VSD units. This reduces the size of wire and enables me to use off the shelf control units complete with inbuilt reverse, braking etc. Your info has been a great help in assisting me with calculations.

Mar '15

cameron-9

Ah, that makes sense now, thanks for the reply. How do I establish a value for acceleration? Can I just take the average over the distance, or do I need to consider the moment of inertia if starting from a stand still?

1 reply
Mar '15 ▶ cameron-9

cbenson Regular

@Cameron It’s really up to you - it’s part of the equation so it needs to be considered. Looking into the moment of inertia may be a bit much (but certainly not out of the question if you want to be precise). Just think of the distance you want it to cover in order to reach a certain speed (from a dead stop).

Mar '15

cameron-9

Yeah that’s what I have done. Looked into inertia calculations but can get a bit nightmare trying to find CG of individual components and such like. Glad you’re still around though, noticed this was originally posted in 2012!

May '15

crawler

Why do we multiply by100/efficiency. What efficiency are we talking about. The torque produced by motor . I am having some problems understanding this part, can u please explain?

1 reply
May '15 ▶ crawler

cbenson Regular

@crawler The efficiency is the overall efficiency of the system, most notably the batteries -> motor controller -> DC motors -> Gearbox. If you have data as to the efficiency of each section, multiply them all to get a total efficiency. If not, you will need to estimate the value. For example spur gears are around 65% efficient.

Jun '15

kelvin

Should add dynamics so that Torque T = T = fR + Inertiaa/r^2 instead of T = f*R, which is only for statics ?

1 reply
Jun '15 ▶ kelvin

cbenson Regular

@kelvin If you know the inertia of the system (not easy to do especially if you’re still in the process of choosing the parts), then you can certainly refine the equations.