PH212 Lecture Notes - Lecture 1: Angular Displacement, Rotation Around A Fixed Axis, Pythagorean Theorem
25 Dec 2018
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Chapter 7 rotational motion & law of gravity. A point on object rotating about single axis undergoes circular motion about that axis. Described in terms of angle (in radians!) through which point on object moves. How much an object has rotated; the ratio of the arc length (s) to the distance from the center of the circle to object of interest (r) Note: r is the distance from the center of the circle to object of interest, not always the radius. Angular displacement = = f - i = s / r. Similar to the way x (= xf xi) was defined as displacement, define angular displacement as = s / r but for rotational motion instead of linear. While riding on carousel rotating clockwise, child travels through arc length of 11. 5 m. if . (rad) = p (deg) / 180 r = s / = -11. 5 m / -2. 88. = p (-165 ) / 180 = -2. 88 rad.
