How Does Radius Change Over Time Relate to Torque and Newton's Second Law?

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SUMMARY

The discussion centers on the relationship between the rate-change radius equation, r(t), and its implications for torque and Newton's Second Law. Participants clarify that the inquiry pertains to deriving an equation that calculates angular velocity based on applied torque, specifically in a frictionless context. The focus is on understanding how torque influences angular motion over time, aligning with the principles of Newton's Second Law.

PREREQUISITES
  • Understanding of Newton's Second Law of Motion
  • Familiarity with torque and its calculation
  • Basic knowledge of angular velocity
  • Concept of frictionless systems in physics
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  • Research the mathematical formulation of torque in rotational dynamics
  • Study the derivation of angular velocity equations from torque
  • Explore the implications of friction on torque and angular motion
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Physics students, mechanical engineers, and anyone interested in the dynamics of rotational motion and torque analysis.

gogeta234
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i was wondering what a rate-change radius equation in terms of time (r(t)) relates to torque/Newtons second law\
 
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This question doesn't make much sense to me. Can you rephrase and expand?
 
Are you asking for an equation that calculates the angular velocity due to a certain torque (without friction) with respect to time using Newton's second?
 

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