1. a) Determine the equation that fives the distance from the center of the record to the needle on a 12" long playing record as a function of the total angle that the record has spun. You are to use the following facts about the record players and records:
The diameter of the record is 12", which is where the needle starts. The center sticker is 5" in diameter, and the needle stops at the outer edge of this sticker. The record spins a thirty three and one third revolutions per minute. The audio content of one side of the record is 20 minutes in length.

Question

1. a) Determine the equation that fives the distance from the center of the record to the needle on a 12" long playing record as a function of the total angle that the record has spun. You are to use the following facts about the record players and records:
The diameter of the record is 12", which is where the needle starts. The center sticker is 5" in diameter, and the needle stops at the outer edge of this sticker. The record spins a thirty three and one third revolutions per minute. The audio content of one side of the record is 20 minutes in length.

anonymous · Answer

hmmm..

anonymous · Answer

Its been giving me a headache . . .My book doesn't even help. Please help.

kainui · Answer

I suggest drawing a picture, it will help you out.

kainui · Answer

Since it goes 33 1/3 rev/min and goes for 20 min that means it will rotate for 666 2/3 revolutions. That's a very slight spiral inwards, and you could probably approximate it as a set of just circles inside each other with slight distance between them.