Explaining Frictional Torque at the Axle

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SUMMARY

The discussion centers on the concept of frictional torque at an axle, specifically addressing the misconception that the radius (r) can be considered zero. It is established that frictional torque (τ) is defined as τ = r x F, where F represents the frictional force. The participants clarify that real axles possess non-zero radii, which means frictional torque is indeed present and significant in the context of rotating wheels. The importance of understanding the relationship between radius and frictional force in calculating torque is emphasized.

PREREQUISITES
  • Understanding of basic physics concepts, particularly torque and angular velocity.
  • Familiarity with vector mathematics, specifically cross products.
  • Knowledge of frictional forces and their effects on rotational motion.
  • Concept of rotational dynamics and how they apply to real-world scenarios.
NEXT STEPS
  • Study the principles of rotational dynamics in-depth.
  • Learn about the effects of friction on different types of axles.
  • Explore advanced torque calculations involving varying radii and forces.
  • Investigate real-world applications of frictional torque in mechanical systems.
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in understanding the dynamics of rotating systems and the role of frictional forces in torque calculations.

Amar.alchemy
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Let us consider a wheel which rotates about an axle thorugh its center with an angular velociy [tex]\omega[/tex]0. After sometime it comes to rest due to the frictional torque at its axle.
Now, if we go by the defination of torque than it is defined as:
[tex]\tau[/tex]= r x F. Since the frictional torque is exerted along the axle, we can take the value of r as 0. Then there will not be any frictional torque. Kindly explain me??
 
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Amar.alchemy said:
Since the frictional torque is exerted along the axle, we can take the value of r as 0.
No you can't. Real axles with friction have non-zero radii.
 
ok so, Frictional Torque is equal to the cross product of radius of axle and frictional force... Thanks :-)
 

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