an object is moving in a circle of radius 3 cm with O as center. it starts from A . calculate the distance and displacement when it completes half the circle and when it completes one full circle.
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ANSWER :
radius , r = 3 cm
perimeter of circle = 2 πr
perimeter of this circle = 2π3 = 6π = 6 × 3.14 = 18.84 cm
half the circle :
distance when it completed the half the circle = 18.84/2 = 9.42 cm
displacement is the straight distance .
in this situation displacement = diameter
because the half the circle
displacement = 3 × 2 = 6 cm
full circle :
distance travelled = perimeter of circle = 18.84 cm
displacement = 0
because it reached at starting point .
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