Understanding Torque & Force in Circular Motion

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SUMMARY

The discussion clarifies the distinction between torque (τ = Iα) and centripetal force (F = mv²/r) in the context of circular motion. Torque is relevant when analyzing the angular acceleration of an object, while centripetal force is necessary for maintaining circular motion at a constant speed. When an object moves in a circle at constant speed, it experiences centripetal force but has zero angular acceleration, indicating that no torque is required. Understanding these concepts is crucial for accurately applying physics principles in circular motion scenarios.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with the concepts of torque and angular acceleration
  • Knowledge of centripetal force and its role in circular motion
  • Basic grasp of rotational inertia (I)
NEXT STEPS
  • Study the relationship between torque and angular acceleration in rotational dynamics
  • Explore the derivation and applications of centripetal force in various circular motion scenarios
  • Investigate the effects of varying speed on centripetal force and torque
  • Learn about the conservation of angular momentum in circular motion
USEFUL FOR

Physics students, educators, and anyone interested in mastering the principles of circular motion and the interplay between torque and centripetal force.

tee yeh hun
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After understanding about torque,

I got one question about it.

Why we can't use it as τ =Iα istead of F=mv^2/r ?


since both are forces about circular motion
 
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They describe different aspects of circular motion.
tee yeh hun said:
When do we use F=mv^2/r ?
This describes the centripetal (radial) force acting on an object that is moving in a circle at some speed.
Why we can't use it as τ =Iα
This describes the torque necessary to give some object (with rotational inertia I) an angular acceleration.

If something moves in a circle at constant speed, then the angular acceleration is zero--no torque is needed. But there will be a centripetal force on the object.
 
thx ...
 

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