Draw a distance - displacement graph for an object in uniform circular motion om a track of radius 14m
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The radius of the circle= r
(i) When it completes half circle:-
(Refer to Image 1)
Distance=
2
circumference
=
2
2πr
Distance= πr
Displacement= r+r=2r
(ii) When it completes 3/4
th
of the circle:-
The distance covered=
4
3
(circumference)
⇒
4
3
(2πr)=
2
3
πr
The displacement= AB (Refer to Image 2)
By using pythagoras theorem
AB
2
=r
2
+r
2
⇒AB
2
=2r
2
⇒AB=
2
r
Displacement=
2
r
Distance=
2
3
πr
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