Formula for translational angular momentum

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To calculate the translational angular momentum of a rolling disc or sphere, the formula used is L = Iω, where L is angular momentum, I is the moment of inertia, and ω is the angular velocity. The moment of inertia varies depending on the geometric shape of the object. For rotational dynamics, fundamental relationships can be substituted, such as mass for moment of inertia and force for torque. This allows for a straightforward application of linear dynamics principles to rotational scenarios. Understanding these substitutions is crucial for solving problems in angular dynamics effectively.
ohheytai
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high this isn't really a homework question, but can someone tell me how to Calculate the translational angular momentum i forgot. thanks
 
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Of a rolling disc? Or a rolling sphere? Its different for every geometric object. The formula is L = I \omega

And for future reference, anything to do with angular dynamics equation can be easily found by using various substiution:

mass = moment of inertia
v = omega
Force = Torque
Distance = Theta
acceleration = angular acceleration

So F = ma, in rotational dynamics is Torque = Moment of inertia * Angular Acceleration.

Just replace all the terms.
 

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