If the record goes around 77rpm what is the speed of the bug

We don't know how far the bug is from the center of the record. Whatever it is, I'm going to call it 'R' (meters), because it's the 'R'adius of the circle the bug makes as long as he stays on the record.

Circumference of the bug's path = 2πR

Speed of the bug = (distance) / (time)

Speed = (77 rev/minute) x (2πR meters/rev)

Speed = (77 x 2πR) (rev · meter / rev · minute)

Speed = (483.8 R) meters per minute