A record is spinning at the rate of 43 rpm. If a ladybug is sitting 10 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 24 seconds, how far has the ladybug traveled? (in cm) d) After 24 seconds, what angle has the ladybug turned through? (in radians)