Calculating velcoity around a corner

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Discussion Overview

The discussion revolves around calculating the maximum velocity of a buggy navigating a 90-degree corner as part of a mechatronics project. Participants explore theoretical approaches to determine this velocity based on factors such as friction, centripetal force, and the geometry of the turn.

Discussion Character

  • Exploratory
  • Technical explanation
  • Mathematical reasoning

Main Points Raised

  • One participant suggests considering factors like the coefficient of dynamic friction, air resistance, and centripetal force when calculating maximum velocity around a corner.
  • Another participant provides the formula F=mv^2/r, indicating the relationship between mass, speed, and the radius of the turn, while also mentioning the need to account for frictional forces.
  • A participant seeks clarification on whether the coefficient of friction is the same as rolling resistance, indicating a potential distinction between the two concepts.
  • Participants discuss using a coefficient of friction range (0.6-0.85) for rubber tires on concrete to derive a formula for maximum speed, suggesting a rearrangement of the equation m/V^2/r = (mu)N to solve for V.
  • There is uncertainty expressed regarding the relationship between rolling resistance and the friction coefficient, with one participant noting that rolling resistance is likely different from the friction coefficient, which pertains to sliding rather than rolling.

Areas of Agreement / Disagreement

Participants generally agree on the importance of the coefficient of friction and centripetal force in the calculations, but there is no consensus on the relationship between rolling resistance and the friction coefficient, indicating an area of disagreement.

Contextual Notes

Participants have not fully resolved the definitions and implications of rolling resistance versus the friction coefficient, and the discussion includes assumptions about the values of friction coefficients without detailed justification.

mistry
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Calculating velocity around a corner

Hi Everyone,

I am working on a mecatronics project to control a buggy around a track, which uses sensors to determine where on the track it is and has a separate, rear wheel motor controls.

I want to perform a theoretical calculation to determine the maximum velocity I can go round the 90 degree corners? I know the distance around the corner, and the aim is to use this information to work out the time. Does anyone know how to calculate this?

The overall aim is by knowing tha max velcoity on the corners, I can work out speed on the straights knowing how much braking is requried.

Thanks in advance!

Mistry
 
Last edited:
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Hi Mistry,

First off I suggest read up a little about http://en.wikipedia.org/wiki/Circular_motion" , you will of course need to take into consideration a lot of factors about the vehicle such as the coefficient of dynamic friction between the tyres and your surface, air resistance and the centripetal force.

Hopefully this will give you a start for the logic.
 
Last edited by a moderator:
F=mv^2/r m=mass v=speed r= radius of the turn .
make sure this does not over come the frictional force by F=(mu)(N)
mu= friction coefficient , which is the tangent of the angle at which the material starts to slide on the other material , and N= the normal force (mass)(g)
 
Hi, thank you for your replies.

Could I clarify one thing. This coefficient of friction, is this the same a rolling resistance or is that completely different?

Also using the information given, I need to work out the maximum speed I can go round. If I take the coefficient of friction to be between 0.6-0.85 (for rubber tyres on concrete) can I state the follwing

m/V^2/r = (mu)N

then rearrange to find V. Would this be correct

Thanks
 
yes then you would solve for v , I’m not quite sure about the rolling resistance.
But I think rolling resistance is different than the friction coefficient because the friction coefficient refers to sliding not rolling.
 
Last edited:

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