A coin has a radius of 10 mm. How long will it take the coin to roll through the given angle measure at the given angular velocity? How far will it travel in that time? 360°; 5 rev/se

Answer 1

At a frequency of 5 rev/sec, 1 revolution of 360° takes only 1/5 = 0.2 seconds (period of time = 1/frequency).

The point of contact between coin and surface will roll out a line equal to one circumference during one revolution, so distance = 2π r = 2(20) π = 20 π mm or about 63 mm.