Measuring the Moment of Inertia of a Bicycle Wheel

Jun 17th, 2015
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FIGURE 1: Measuring the Moment of Inertia of a Bicycle Wheel. Illustration of the basic setup for the experiment. A more detailed scheme is presented in the third section, Apparatus and Procedure. Moment of inertia is a quantity which varies as the axis rotation varies, or, more clearly, as the distance from the axis varies.

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Measuring the Moment of Inertia of a Bicycle WheelAlexandre Dub, (# 110234667)Paris Hubbard Davis, (# 110222984)Philippe Roy, (# 110235920)Guillaume Rivest, (# 110227286)McGill University, February 3, 2002ABSTRACTFIGURE 1:Measuring the Moment of Inertia of a Bicycle Wheel. Illustration of the basic setup for the experiment. A more detailed scheme is presented in the third section, Apparatus and Procedure.Moment of inertia is a quantity which varies as the axis rotation varies, or, more clearly, as the distance from the axis varies. Our goals were two: 1) experimentally measure the moment of inertia and then check this result with a theoretical measure, and 2) play with the bicycle wheel. The former was conducted with weights exerting torques about the rim for a revolution of the wheel. The resulting period was measured, and via conservation of energy, moment of inertia was derived. The latter consisted of a summation: the weight and distance from the centre of the various parts of the wheel: hub, spokes, nipples, and rim. The conservation of energy method and a good approximation of the theoretical value were consistent within error.I. INTRODUCTIONII. THEORYThe experimental derivation of moment of inertia was conducted by equating energy at two different times. Our first approximation is that g is constant. We set the zero of potential energy to be at the floor, and energy is given by:(1)1The period of the wheels half revolution ( radi

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