A body covers half a circle of radius 1 m What is the ratio of distance
to displacement of the body
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Lets consider a semi-circle with a diameter AB and radius of length “r”. When a body moves in semi-circular path from A to B then the entire curve path which it actually travels is said to be distance. While the direct path from A to B which the body virtually appers to travel is said to be the displacement. From this its clear that :
Distance (d) = perimeter of semi-circle
= pi×r
And;
Displacement (s) = length of diameter
= 2r
Now, coming to the final part, the ratio of distance to displacement is,
d/s=(pi×r)/2r
= pi/2
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