1. In the old days, long before CDs and MP3s, people listened to music using vinyl records. Long-playing vinyl records spin at a constant rate of 33-and-one-third rpm (revolutions per minute). The music is encoded onto a continuous spiral track on the record that starts at a radius of 30 cm from the center and ends at a radius of 10 cm from the center. If a record plays for 24 minutes, how far apart are the grooves in the track on the record? 2. 60 secs=1 min. circumference=2pi(r) 3. The vinyl spins at 33 1/3 revolutions per minute. In 24 minutes, it spins 800 revolutions. A revolution is the 360 degrees of a circle. If the vinyl record travels at a constant rate, the avg. radius it travels at is 20 cm. 20 cm times 2 pi is the avg. circumference. This multiplied by 800 revolutions is approximately 100,000 cm. But this is the incorrect solution Thanks in advance.