Question

a particle is moving in a circle of diameter 10 m. calculate it distance and displacement if it's complete two revolution .

Answer 1

Answer:

displacement will be zero

Answer 2

DISTANCE IS 62.8 m & DISPLACEMENT IS ZERO.

Given:

• DIAMETER of circle is 10 m

To find:

Distance & Displacement after 2 revolutions?

Calculation:

Distance is defined as the total path length:

$distance = 2 \times (circumference)$

$\implies distance = 2 \times 2\pi r$

$\implies distance = 2 \times 2\pi \times \dfrac{d}{2}$

$\implies distance = 2 \times 2\pi \times \dfrac{10}{2}$

$\implies distance =20\pi$

$\implies distance =62.8 \: m$

So, distance is 62.8 metres.

• Now displacement is defined as the shortest length between the starting and stopping point of the object.

Hence, after two complete revolutions the starting and stopping point of the object becomes same.

So, the displacement becomes zero.