A horizontal vinyl record of radius 0.15 m rotates about a vertical axis through

Question

A horizontal vinyl record of radius 0.15 m rotates about a vertical axis through its center with an angular speed of 4.7 rad/s. The rotational inertia of the record about its axis of rotation is 5.0 10-4 kg·m2. A wad of putty of mass 0.055 kg drops vertically onto the record from above and sticks to the edge of the record. What is the angular speed of the record immediately after the putty sticks to it?
rad/s

I am looking for a numerical answer and an explanation of the work please. THANK YOU!!!

Explanation / Answer

the total moment of inertia of the object have the wad has been stick. 5e-4+0.055*0.15^2=1.74e-3(kgm2). conservation of angular momentum. 5e-4*4.7 = 1.74e-3*w so w=1.35(rad/s)

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