A record is spinning at the rate of 25 rpm. If a ladybug is sitting 11 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) d) After 18 seconds, what angle has the ladybug turned through? (in radians)