Question

Calculate the distance and displacement of an object moving in a circular path of diameter 20m after completing 3 rounds.​

Answer 1

Answer:

125 .6 m distance

o displacement

Answer 2

Solution :-

★ Given:

• Diameter of circle = 20m
• No.of rounds completed by particle = 3

★ To Find:

• Distance and displacement after 3& rounds.

★ Concept:

• Distance is defined as total length of path covered by moving particle.
• Displacement is defined as the shortest distance between the intial and final point.

★ Conversation:

• Radius of circular path = 20/2 = 10m

★ Calculation:

Distance

$\: \begin{gathered} \implies \sf \: \red{distance = 3 \times 2\pi{r}} \\ \\ \implies \sf \: distance = 6 \times 3.14 \times 10 \\ \\ \implies \: \boxed{ \bold{ \sf{ \blue{distance = 188.4 \: m}}}} \: \bigstar\end{gathered}$

Displacement

$\: \begin{gathered} \implies \sf \: \green{\triangle{position} = 0} \\ \\ \implies \: \boxed{ \bold{ \sf{ \orange{displacement = 0 \: m}}}} \: \bigstar\end{gathered}</p><p>$

★ Additional information:

1. Distance is scalar quantity.
2. Distance has always positive magnitude.
3. Displacement is vector quantity.
4. Displacement can be positive, negative and zero.