Answers:

Easy Problems Linear Speed #3: 1187.52m/min
Easy Problems Angular Speed #3: 3.14 rev/sec or π rev/sec
Easy Problems Arc Length #3: 25.31 cm

Medium Problems Linear Speed #3: 4713.39 m/hr; 001km/sec
Medium Problems Angular Speed #3: 954.93 rev/min
Medium Problems Arc Length #3: .58ft
 
Challenging Problems Linear Speed #3: 5529203.15 in/sec
Challenging Problems Angular Speed #3: 572957.8 rev/hr
Challenging Problems Arc Length #3: .09 ft

Application Problem #3: .07rad/min; 4.2 rad/hr

Other Helpful Cites:

http://blade3891.tripod.com/id9.html

http://www.analyzemath.com/trigonometry/ang_lin_speed.html

Works Cited

Larson, and Hosetler. Precalculus. 6th ed. Boston: Houghton, 2004. Print.