Question

Albert, Alexandra, and Alejandro (shown below) are positioned on a playground round-a-bout. Albert is 50 cm...

Albert, Alexandra, and Alejandro (shown below) are positioned on a playground round-a-bout. Albert is 50 cm from the axis of rotation, Alejandra is 1 meter from the axis of rotation, and Alejandro is 800 mm from the axis of rotation. Albert has a mass of 60 kg, Alexandra has a mass of 25 kg, and Alejandro has a mass of 45 kg. It takes 2.4 seconds for the round-a-bout to make one complete revolution.

A. What is the period of the round-a-bout’s motion?
B. What is the frequency of Alejandro’s motion?
C. What is the frequency of Alexandra’s motion?
D. From slowest to fastest, rank the tangential speed of each child.
E. From smallest to largest, rank the magnitude of the centripetal acceleration of each child.
F. From smallest to largest, rank the magnitude of the centripetal force on each child.

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