After all the excitement of rescuing the constitution, you decide to go for a relaxing bike ride to wind down. Your bike is an antique, left to you by your great, great, grandfather, pictured below. This bike has no gears, so the number of times you turn the petals in the number of times the weels rotate. Assume the front wheel has a radius of 0.5 m, and the back wheel has a radius of 0.2 m. You begin your bike ride with an angular acceleration of 5 rad/s^2 for the front (big) wheel. How long until the bike is traveling at 10 m/s (note: the speed of the bike relative to the road is the same as the speed of the outer edge of the wheel relative to the center)? You then ride at a constant speed for 10 minutes. How many rotations does the big wheel make? How about the little one? Draw a picture of set up with relevant values labeled with variable names. Draw velocities vs time graphs (this time, angular velocity).

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