Torque to Overcome Static Friction of a Rolling Object

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SUMMARY

This discussion focuses on calculating the minimum speed required for a rear-wheel-drive (RWD) car to overcome static friction and prevent tire slippage. The key method involves plotting the maximum torque that friction can handle against the available torque as a function of velocity. The intersection point of these two graphs indicates the critical velocity at which the car can no longer spin its tires. The calculations utilize torque charts and consider the force exerted by each wheel and the static frictional force from the track.

PREREQUISITES
  • Understanding of torque and its relationship to friction
  • Familiarity with RWD vehicle dynamics
  • Ability to create and interpret graphs of torque vs. velocity
  • Knowledge of static friction principles
NEXT STEPS
  • Research how to calculate static frictional force for different tire compounds
  • Learn about torque distribution in RWD vehicles
  • Explore graphing techniques for torque vs. velocity analysis
  • Investigate the effects of gear ratios on torque delivery
USEFUL FOR

Automotive engineers, performance tuners, and enthusiasts interested in optimizing RWD vehicle dynamics and tire performance.

ALincoln21
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I am doing some calculations to optimize the power to weight ratio and gearing of a RWD car. I have torque charts and can calculate the force put to the track by each wheel and the static frictional force by the track on each wheel. I am trying to determine what the minimum speed is for the car to be moving before the car is no longer able to spin its tires (overcome static friction), and repeat this process for each gear. Any ideas on how to approach this problem??
 
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I think it's quite straight forward..

The max torque that can be delivered to the wheels without slipping is the max Frictional force * wheel radius. If the car can deliver more torque than that the wheels can spin (I mean slip).

You should be able to plot two lines on the same graph of torque vs velocity...

1) A horizontal line for the max torque that friction can handle.
2) A curve for the available torque vs velocity.

The point where 2) dips below 1) will be the velocity you are looking for.
 

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