Explaining Frictional Torque at the Axle

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Frictional torque at an axle affects a wheel's rotation, causing it to eventually come to rest. Torque is defined as the cross product of the radius and the force applied. While the frictional force acts along the axle, the radius cannot be considered zero because real axles have a non-zero radius. Therefore, frictional torque is calculated using the actual radius of the axle and the frictional force. Understanding this relationship is crucial for accurately analyzing rotational motion.
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Let us consider a wheel which rotates about an axle thorugh its center with an angular velociy \omega0. 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:
\tau= 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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