1 Attachment(s)

Application Problem - Bicycle Gear

A bicycle's gear ratio is the number of times the freewheel turns for every one turn of the chainweel (see figure). The table shows the number of teeth in the freewheel and chainwhee for the first five gears of an 18-speed touring bicycle. The chainwheel completes one rotation for each gear. Find the angle through which the freewheel turns for each gear.

I have attached a picture with the data of the problem.

I have no idea where to start with this application problem. I just finished learning about the Unit Circle and almost everything about Trigonometry, but I can't figure this out. Help?