12. Rotational Kinematics
Converting Between Linear & Rotational
10:12 minutes
Textbook Question
Textbook QuestionThe time-dependent position of a point object which moves counterclockwise along the circumference of a circle (radius R) in the xy plane with constant speed υ is given by
r→ = î R cos ωt + ĵ R sin ωt
where the constant ω = v/R. Determine the velocity v→ and angular velocity ω→ of this object and then show that these three vectors obey the relation v→ = ω→ x r→ .
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