6 le Edit View History People Window Help C Vector A Has A Magnitude Of x HMWK 8

Question

6 le Edit View History People Window Help C Vector A Has A Magnitude Of x HMWK 82 àSecure https:/ teringphysics.com/myct/itemView?assignmentProblemiD-81646321 HMWK 82 Problem 1.33 Problem 1.33 Part A Find the magnitude of the ladybug's displacement vector A ladybug starts at the center of a 16.0 in - diameter turntable and crawls in a straight radial line to the edge. While this is happening, the umtable turns through a 60.0°angle. FI13.856 in Submit My Answers Give Up Incorrect; Try Again Part B Find the direction of the ladybug's displacement vector Please express your answer as an angle between the displacement vect direction of the motion. Submit My Answers Give Up t. 2 3

Explanation / Answer

Let us assume that the initial point of ladybug is at the origin i.e. (0,0) and direction of motion is towards +ve x-axis. So without turning, the final position would have been =(16/2,0). But because of 60 degree rotation the final destination of the ladybug is = ((16/2 cos 60, 16/2 sin 60) ( assuming anti-clockwise motion.

so the displacement vector = final position - initial position = 8cos60,8sin 60

magnitude = sqrt [ (8cos 60)2 + (8sin60)2 = 8

so ans is 8

direction is 60 degree

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