Calculating max speed at a turn with downforce

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To calculate the maximum speed of a slotcar at an unbanked turn with a downforce of 200 grams from a permanent magnet and a braking force from an electromagnet up to 560 grams, key factors include the car's weight of 200 grams, a top speed of 5 m/s, and a friction coefficient of 0.65. The turn radius is 0.33 meters, and initial calculations suggest a maximum speed of 1.45134 m/s without magnetic forces. The electromagnet's braking force needs clarification regarding its direction and impact on speed. The downforce from the permanent magnet contributes to the overall force acting on the car, affecting its cornering ability. Understanding these dynamics is crucial for accurate speed calculations in slotcar racing.
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Hi guys..

I want to find out how to find the maximum speed of a slotcar at a unbanked turn with a permanent magnet which have a downforce of 200 grams and a electromagnet which can brake in the interval 0-560grams.

My slotcars topspeed is 5m/s and the wheight is 200grams.
The coefficient of friction of the slotcar on a unbanked raceroad is 0,65.
The radius of the turn is 0,33m.

There are 3 types of turns 45,90 and 180 degree turns.

I have calculated that if the slotcar didn't have the electromagnet or the permanent one, it had a maximum speed of 1,45134m/s

Can someone help me?
 
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Permanent magnet is likely to generate tangential force in addition to downforce. And I'm not sure what you mean by saying that electromagnet can brake. Which direction does it apply force in?

Without any tangential forces involved, (mv²/R)/(mg+Fd)=μ. If you are doing forces in grams, then take g=1. μ is your friction coefficient, R is the turn radius, m is the car's weight, and Fd is the sum of all downforces. The length of the turn doesn't make a difference. Rear wheels can begin to slide at much slower speeds, depending on where the magnet is located and how the weight is distributed.
 
Hi. Thanks for the reply. The magnetic downforce is a downgoing force (hoslotracer.com/content/magnetic-down-force-measurements)
 

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