Calculating velcoity around a corner

  • Thread starter mistry
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In summary, the conversation discusses the calculation of maximum velocity around a 90 degree corner for a mecatronics project. Factors such as circular motion, coefficient of dynamic friction, air resistance, and centripetal force must be taken into consideration. The formula F=mv^2/r, where m is mass, v is speed, and r is the radius of the turn, should be used to ensure that the frictional force does not overcome the centripetal force. The coefficient of friction, which is the tangent of the angle at which materials start to slide, can be used to find the maximum speed. There is some uncertainty about the difference between coefficient of friction and rolling resistance, but it is important to consider both in the calculation.
  • #1
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
 
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  • #2
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.
 
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  • #3
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)
 
  • #4
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
 
  • #5
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.
 
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FAQ: Calculating velcoity around a corner

How do you calculate velocity around a corner?

Velocity around a corner can be calculated by dividing the distance traveled around the corner by the time it takes to travel that distance. This will give you the average velocity around the corner.

What factors affect velocity around a corner?

The factors that can affect velocity around a corner include the angle of the corner, the speed at which the object is traveling, and the friction between the object and the surface it is traveling on.

Can velocity around a corner be greater than the speed of the object?

Yes, it is possible for the velocity around a corner to be greater than the speed of the object. This is because velocity takes into account the direction of motion, while speed only considers the magnitude of the motion.

How can you calculate the centripetal acceleration around a corner?

The centripetal acceleration around a corner can be calculated by using the formula a = v^2/r, where v is the velocity and r is the radius of the corner. This will give you the acceleration towards the center of the corner.

Is there a maximum velocity that can be achieved around a corner?

Yes, there is a maximum velocity that can be achieved around a corner. This maximum velocity is determined by the angle of the corner and the coefficient of friction between the object and the surface it is traveling on. If the velocity exceeds this maximum, the object will lose traction and slip off the corner.

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