You are riding a bike along a level road. Assume each wheel is 28 inches in diameter, the rear sprocket has radius 3 inches and the front sprocket has radius r inches. Suppose you are pedaling the front sprocket at the rate of 1.5 rev/sec and your forward speed is 11 mph on the bike. What is the radius of the front sprocket?
Answer: 4.4 inches
So here are the key information:
Wheel is 28 inches in diameter
Rear sprocket has raidus 3 inches
Front sprocket has raidus r inches
Pedaling front sprocket at the rate of 1.5 rev/sec
Forward speed is 11 mph
Find raidus of front sprocket
I'm having trouble putting all this information in my head, can anyone help me through with the steps?