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Solving for Angular Velocity Acceleration

I need help with the following two questions. Please view the attachments to see the questions.

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a.) Because the line of motion of the machine component is the tangent to the circular pulley, hence,
angular velocity = w = v/r = 300/120 = 5/2 ...

Solution Summary

This solution is comprised of the calculations required to obtain the answers to the following questions which pertain to physics mechanics. A jpeg file attachment is also included for further clarification.

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