Question

A body moves on circular path and completed one

revolution; find the Distance and Displacement of body if

the radius of circular path is 21m?​

Answer 1

Answer:

Distance = 132 m

Displacement = 0 m

Explanation:

radius of the circle = 21 m

Distance = Circumference = $2\pi r$

$2 * \frac{22}{7} * 21 \\= 2* 22*3 = 6*22 = 132$

Therefore distance traveled =  132 m

Displacement = 0 m as the body came back to the same point from which it started and since displacement is the straight line path between the starting and final position displacement here = 0

Answer 2

Answer:

⋆ DIAGRAM :

$\setlength{\unitlength}{1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(5,0){20}}\put(25,30){\circle*{1}}\put(29,26){\sf\large{21 cm}}\end{picture}$

$\rule{100}{1}$

$\boxed{\bf{\mid{\overline{\underline{\bigstar\: Displacement :}}}}\mid}$

Definition : Displacement is a Vector whose length is the shortest distance from the initial to the final position.

As Here we have Circle ; So whenever we will start from any point, we will end up finishing there only.

⠀

$\therefore\:\underline{\textsf{Displacement covered by the Body is \textbf{0}}}.$

$\rule{200}{2}$

$\boxed{\bf{\mid{\overline{\underline{\bigstar\: Distance :}}}}\mid}$

Definition : Distance is a Scalar the length of the space between two points.

$\underline{\dag\:\textbf{According to the Question :}}$

$:\implies\sf Distance=Circumference_{(Path)}\\\\\\:\implies\sf Distance=2\pi \times Radius\\\\\\:\implies\sf Distance=2 \times \dfrac{22}{7} \times 21\\\\\\:\implies\sf Distance=2 \times 22 \times 3\\\\\\:\implies\underline{\boxed{\sf Distance=132\:m}}$

⠀

$\therefore\:\underline{\textsf{Distance covered by the Body is \textbf{132 m}}}.$