a) the angular speed is 33 1/3 rev/min which is (100/3)*2pi rad/min, equivalent to (100/3)*2pi/60 rad/second = 20/18*pi rad/s = 3.491 rad/s

b) use the formula relating angluar speed to linear speed

v = wr

where v is the linear speed, w the angular speed and r is the radius

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a) the angular speed is 33 1/3 rev/min which is (100/3)*2pi rad/min, equivalent to (100/3)*2pi/60 rad/second = 20/18*pi rad/s = 3.491 rad/s

b) use the formula relating angluar speed to linear speed

v = wr

where v is the linear speed, w the angular speed and r is the radius

If the radius is 5.9 inches, the linear speed is 3.491 * 5.9 = 20.59 inches/s

c) If the radius is 2.9 inches, the linear speed is 3.491 * 2.9 = 10.12 inches/s

**a) 3.49 rad/s b) 20.59 inches/s c) 10.12 inches/s**