Question

An object is moving in a circular path if radius 3.5cm.if it completes one full cycle what will be the displacement and what is the difference traveled

Answer 1

Answer :

$\underline{\boxed{\sf{Displacement \:=\: 0\: and \:Distance\:= 11cm \:}}}$

Explanation :

$\sf{here \: its \: given \: that \: an \: object \: is \: moving \: around \: a \: circular \: path \: of \: radius \: 3.5cm }$ $\sf{and \: completes \: one \: full \: }$

$\sf{round}$

$\textsf{So here the object reaches again at the same point where he started and we know that ,}$

$\mathsf{\bigstar\: Displacement \: = \: Shortest\: distance \:between \:two\: points}$

$\underline{\sf{Therefore}}$

$\sf{Here\: Shortest \: distance\:between \: starting \:point\:and\:ending\:point\:is\:0, as \: the \: object}$ $\sf{ \: comes \: back \: to \: the}$

$\sf{ \: starting \: point.}$

$\boxed{\mathsf{Displacement\:=\:0}}$

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$\sf{Now\: here, \: we\: know\: that\: distance\: = \: Circumference\: of \:the \:circle}$

$\underline{\sf{Therefore \implies }}$

$\mathsf{\bigstar\: Circumference\:of\:circle\:= 2 \pi r}$

$\mathsf{\displaystyle r \:= \:3.5cm \:= \:\frac{35}{10}} \:and$

$\mathsf{\displaystyle \pi \: = \frac{22}{7}\: (approx)}$

$\underline{\sf{Therefore \implies }}$

$\mathsf{Distance\:=Circumference \: = 2 \: \times\: \dfrac{22}{7} \times \dfrac{35}{10}}$

$\mathsf{We have,}$

$\boxed{\mathsf{Distance \:=\:11cm}}$