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
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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
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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