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?