Laboratory Procedure The bicycle in the lab is equipped with a speedometer at- tached to its rear wheel. We want to observe and record the variation of the angular velocity of the wheel as it de- celerates from some initial speed. This will require some teamwork! One person uses the pedal crank to accelerate the wheel to an equivalent speed of approximately 20 mph, and then stops cranking to allow the wheel to rotate freely. A second person looks at a watch or timer and says "mark" at precise intervals of 10 seconds. The first "mark" should come as soon as the cranking stops (free response). A third person observes the speedometer and says the speed aloud at each "mark." Finally, a fourth person writes down the speeds on a piece of paper. a) Determine the time constant 7 of the system from the (t) versus t graph. b) Determine the time constant 7 of the system from the log ((t)/o) versus t graph. Are they the same? c) Estimate the moment of inertia of the wheel: The TA can tell you the mass of the front wheel of the bicycle. Since the front wheel has a small hub, lets assume that an equivalent mass is concentrated in the rim of the rear wheel. Recall that the axial moment of inertia of a thin ring is where R is the ring radius. Calculate J in units of kg-m. d) From your measurement of the time constant 7 and your calculation of the moment of inertia J, deter- mine the equivalent rotational damping B of the axle bearing. T = 22.66 SEC T = 16.05