a car moves from one end of semicircle path of radius r, for the other end. For this car path length of the magnitude of the displacement will be
Answers
we know that length of path is distance covered and displacement is the shortest path between source and destination.
circumference of circle= 2πr
circumference of half circle[ semicircle)= πr
diameter = r [ according to question ]
radius = diameter/2=r/2
ratio of length of path/ magnitude of displacement =πr/2/r=π/2
∴ratio of path length to the magnitude of the displacement will be=π/2
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Explanation:
we know that length of path is distance covered and displacement is the shortest path between source and destination.
circumference of circle= 2πr
circumference of half circle[ semicircle)= πr
diameter = r [ according to question ]
radius = diameter/2=r/2
ratio of length of path/ magnitude of displacement =πr/2/r=π/2
∴ratio of path length to the magnitude of the displacement will be=π/2
