an object moving in a circle of radius 7cm calculate the distance and displacement .
a) when it completes half a circle
b) when it completes full circle
please tell fast
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Answers
Assume a circle having radius 7 cm (Diameter = AB = 14 cm) and object starts moving from point A to point B. Here it covers half of the revolution. If it return backs to it's initial point i.e. A then it covers the one complete revolution.
Given that, an object completes one round of a circle of radius 7 cm.
We have to find the the distance and displacement of the object.
For one complete revolution:
Distance covered in one round = Circumference of circle.
{ Circumference of circle = 2πr }
So,
Distance covered in one round = 2πr
= 2 × 22/7 × 7 = 44 cm
For half revolution:
Distance covered by object = 1/2 × 2πr
= 22/7 × 7 = 22 cm
Now,
Displacement is defined as the shortest distance between the initial and final points.
For one complete revolution:
If an object completes one round of a circle, then it's displacement is zero. As it's initial and final points are same.
For half revolution:
Displacement of an object is equal to it's diameter of circle.
Displacement of an object is 14 (2*7) cm.