Puzzle the phonograph?

#1452 - Do you remember the old phonographs for playing music. The LP records. There were 78’s and 45’s and 33 1/3 which was the revolutions per minute. LP stood for Long Playing 33 1/3.. The diameter of the LP record was 30 centimeters. The groves started 1 centimeter in from the edge and spiraled in to 6 centimeters from the center. It could play 6 songs averaging 2.5 minutes per song on one side and the same on the other side. The record had 100 groves per centimeter. The tone arm from needle to pivot was 20 centimeters. How far does the needle move when the record is played?