KNPE 153 Lecture Notes - Lecture 11: Angular Acceleration, Radian, Finite Difference

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Knowing that the rotation is clockwise or counterclockwise gives us direction: +ve is counterclockwise, -ve is clockwise. Direction is given by a positive/negative sign. Angular position is given by q (theta) The larger the angle, the longer the arc length. Angle = 0; arc length = 0. Angle = 360; arc length = 2 r. At some angle, the arc length will be the same length as the radius. A measure of how may radii are in an arc length. 1 radian = (cid:2871)6(cid:2868)(cid:2870) = 57. 3 (cid:4666)(cid:1870)(cid:1856)(cid:4667)= (cid:1870)(cid:1855) (cid:1864)(cid:1857)(cid:1866)(cid:1859)(cid:1872) (cid:4666)(cid:1865)(cid:4667) (cid:1864)(cid:1857)(cid:1866)(cid:1859)(cid:1872) (cid:1867)(cid:1858) (cid:1870)(cid:1856)(cid:1873)(cid:1871) (cid:4666)(cid:1865)(cid:4667) Recall that arctan only works for 90 to 90 . In many cases, we are concerned with describing deviations from the anatomical position. Absolute segment angle: angle with respect to a fixed external landmark. i. e. the ground horizontal (or vertical) Relative joint angle: angle with respect to movable object i. e. thigh with respect to the lower leg.

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