In a department store toy display, a small disk (disk 1) of radius 0.100 m is driven by a motor and j turns a larger disk (disk 2) of radius 0.500 m. Disk 2, in turn, drives disk 3, whose radius is 1.00 m. The three disks are in contact, and there is no slipping. Disk 3 is observed to sweep through one complete revolution every 30.0 s.

a) What is the angular speed of disk 3?
b) What is the ratio of the tangential velocities of the rims of the three disks?
c) What are the angular speeds of disks 1 and 2?
d) If the motor malfunctions, resulting in an angular acceleration of 0.100 rad/s2 for disk 1, what are disks 2 and 3's angular accelerations?

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Disk Disk a Disk 3