Question

A particle moves one complete round of a circle of
radius r. What is the magnitude of its distance and displacement?

Answer 1

>Answer<☺

Step 1: Distance Calculation

Let us consider that the particle starts from point A. In half revolution, the particle will be at the opposite point of diameter( at point B) covering a distance ACB(Refer Figure)

>Formula<

Distance in half revolution=ACB=21 (Circumference of circle) 

                                            =22/πR=πR 

>step 2: Displacement Calculation<

Displacement is the shortest distance between the initial and final positions which is Distance ADB here. 

Therefore, Displacement:

                        =ADB=Diameter of circle

                        =2R

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