A bicycle is rolling down a circular portion of a path; this portion of the path

Question

A bicycle is rolling down a circular portion of a path; this portion of the path has a radius of 9.47 m. As the drawing illustrates, the angular displacement of the bicycle is? = 0.961 rad. What is the angle (in radians) through which each bicycle wheel (radius = 0.460 m) rotates?

A bicycle is rolling down a circular portion of a path; this portion of the path has a radius of 9.47 m. As the drawing illustrates, the angular displacement of the bicycle is? = 0.961 rad. What is the angle (in radians) through which each bicycle wheel (radius = 0.460 m) rotates?

Explanation / Answer

Must subtract angular displacement of bicycle from the calculated angle that each bicycle wheel rotates.

In this case,

19.78 radians - 0.961 radians = 18.82 radians

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