How Do You Calculate Angular Momentum for a Rotating Rigid Structure?

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To calculate the angular momentum of a rotating rigid structure, first determine its rotational inertia, which has been calculated as 1.5 kg·m². The angular velocity can be derived from the period of rotation, which is 2.8 seconds, using the formula ω = 2π/T. Once angular velocity is found, apply the equation L = Iω to find the angular momentum. The discussion emphasizes the importance of understanding the relationship between rotational inertia, angular velocity, and angular momentum in rigid body dynamics. Proper calculation of these values is essential for solving the problem accurately.
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Homework Statement


Figure 11-45 shows a rigid structure consisting of a circular hoop of radius R and mass m, and a square made of four thin bars, each of length R and mass m. The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of 2.8 s. Assuming R = 0.62 m and m = 1.2 kg, calculate (a) the structure's rotational inertia about the axis of rotation and (b) its angular momentum about that axis.


Homework Equations


I already solved part (a) but the equations to use for part (b) are L=Iw


The Attempt at a Solution


I put in the I that I received from part (a) which is 1.5, however I don't know how to find angular velocity... Can anyone help me out?
 

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however I don't know how to find angular velocity... Can anyone help me out?

You figure it out from this:

The rigid structure rotates at a constant speed about a vertical axis, with a period of rotation of 2.8 s.
 
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