What's the relationship between T = r X F and T = I(alpha)?

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SUMMARY

The discussion clarifies the relationship between the formulas T = r X F and T = I(α). T = r X F defines torque, while T = I(α) represents Newton's second law for rotational motion. Both equations express the same physical principles and can be equated to solve for specific variables in rotational dynamics. Understanding this equivalence is crucial for grasping the fundamentals of mechanics.

PREREQUISITES
  • Basic understanding of Newton's laws of motion
  • Familiarity with rotational dynamics concepts
  • Knowledge of torque and its calculation
  • Understanding of moment of inertia (I) and angular acceleration (α)
NEXT STEPS
  • Study the derivation of torque from linear force applications
  • Explore the implications of Newton's second law in rotational systems
  • Learn about the relationship between linear and angular motion
  • Investigate practical applications of torque in engineering scenarios
USEFUL FOR

Students of physics, mechanical engineers, and anyone interested in understanding the principles of rotational motion and torque in mechanics.

mrbill
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What's the difference between T = r X F and T = I(alpha)? My book really sucks it up with the explanations. Both make sense to me. The answer is right in front of me I am sure, but I am just not catching it. One is merely an expression of Newton's second law? Bah, it can't be that simple!

MrBill.
 
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Originally posted by mrbill
Bah, it can't be that simple!
That's pretty much it. T = r X F is the definition of torque; T = I*α is Newton's 2nd law for rotational motion.
 
There is no difference, they're just 2 formulas relating to the same; that's why the two formulas can be set equal to each other in order to solve for a certain variable.
 

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