A body is moving along a circular path of radius R. what will be the distanceand displacement of the body when it completes half a revolution?
Question
A body is moving along a circular path of radius R. What will be the distance and displacement of the body when it completes half a revolution?
Solution
When a body completes half a revolution along a circular path of radius R, the following can be calculated:
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Distance: The distance is the length of the path traveled by the body. In this case, it is half the circumference of the circle. The formula for the circumference of a circle is 2πR. Therefore, half the circumference is πR. So, the distance traveled by the body is πR.
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Displacement: Displacement is the shortest distance from the initial to the final position of the body. In this case, the body has moved from one end of the diameter to the other end. The length of the diameter of a circle is 2R. Therefore, the displacement of the body is 2R.
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