A record is spinning at the rate of 30 rpm. If a ladybug is sitting 8 cm from the center of the record, find and exact answer for each of the following. a) What is the angular velocity of the ladybug? (in radians/sec) b) What is the speed of the ladybug? (in cm/sec) c) After 18 seconds, how far has the ladybug traveled? (in cm).​