Question

a body is moving along a circular path of radius . what will be the diastance and displacement of the body when it complete 2 and the half revolution​

Answer 1

Answer:

HEYA,

Here is your answer

Explanation:

Let a body is moving along a circular path of radius, R. Suppose the body starts it's journey from point ,A.

After completing 2 and half revolution of circle, the body will be at the point , diametrically opposite to point A. .

So, the initial point of body is :-- Point A.

Final point of body - Diametrically opposite point of A, let it be point B.

Then , to find distance travelled by the body to complete it's journey= 2 × ( circumference of circle ) + πR.

= 2 ( 2πR ) + πR

= 4π R + π R

= 5πR

Hence, body will travel distance = 5πR m

To find displacement of body, we will find the shortest distance from initial to final position of object.

Since, final point ( B ) is located at diametrically opposite to the initial point ( A ).

So, shortest distance between A and B would be the length of diameter of the circle.

Displacement = diameter of circle = 2R.

Hence, displacement of body is 2R.

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Hope it helps

Thanks!!