Two bicycle wheels of radii and roll forward along a straight road without slipping

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

Two bicycle wheels of radii 0.35 m0.35\,\text{m} and 0.45 m0.45\,\text{m} roll forward along a straight road without slipping. Each wheel covers an identical linear distance of 5.5 m5.5\,\text{m}. (i) Determine the angular displacement, in radians, executed by each wheel during this motion. (ii) Express the ratio of the smaller wheel’s angular displacement to that of the larger wheel. (iii) Which wheel completes more revolutions and by what factor?

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