Spinning the wheels: intro to angular momentum

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SUMMARY

The discussion focuses on calculating the angular momentum (L) of an object with rotational inertia (I) that starts from rest and rotates with a constant angular acceleration (α). To find the angular momentum after time (t), the relationship L = I(ω) is utilized, where ω (angular velocity) can be derived from the equation ω = αt. The discussion also touches on the concepts of torque (τ = rF) and the relationship between force and angular acceleration (F = mαr).

PREREQUISITES
  • Understanding of rotational inertia (I)
  • Knowledge of angular acceleration (α)
  • Familiarity with angular velocity (ω)
  • Basic concepts of torque (τ) and force (F)
NEXT STEPS
  • Study the relationship between angular velocity and angular acceleration
  • Explore the concept of torque in rotational dynamics
  • Learn about the conservation of angular momentum
  • Investigate applications of angular momentum in real-world scenarios
USEFUL FOR

Physics students, educators, and anyone interested in understanding the principles of rotational motion and angular momentum calculations.

jaded18
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An object has rotational inertia I. The object, initially at rest, begins to rotate with a constant angular acceleration of magnitude alpha. What is the magnitude of the angular momentum L of the object after time t?
___

So I know that I have to find angular velocity and use the equation
L=angular momentum= I(omega) ... so how do i find this omega in terms of alpha and t??

I know that torque = r*F and L = r*momentum ... and F=m(alpha)(r) ? ..
 
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If it were a linear velocity problem, could you find the speed given acceleration and time? Use similar thinking.
 
ah that's too easy .. thanks lots:)
 

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