Question

3. A body is moving along a circular path of radius ‘‘r’ . What is the distance travelled and the displacement of the body when it completed half a revolution?

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{Distance=\pi r}}}$

$\green{\tt{\therefore{Displacement=2r}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given : }} \\ \tt: \implies Radius \: of \: circular \: path = r \\ \\ \red{\underline \bold{To \: Find : }} \\ \tt: \implies Distance \: travelled = ? \\ \\ \tt: \implies Displacement = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Circumference \: of \: path = 2\pi r \\ \\ \bold{For \: Distance : } \\ \tt: \implies Distance = Circumference \times Revolution \\ \\ \tt: \implies Distance =2\pi r \times 0.5 \\ \\ \green{\tt: \implies Distance =\pi \: r} \\ \\ \bold{For \: Displacement : } \\ \tt: \implies Displacement =2 \times Radius \\ \\ \green{\tt: \implies Displacement =2r}$

Answer 2

$\tt{\huge{\orange{Solution _{BCP} \: :- }}}$

Question :

3. A body is moving along a circular path of radius ‘‘r’ .

3. A body is moving along a circular path of radius ‘‘r’ . What is the distance travelled and the displacement of the body when it completed half a revolution?

Solution :

$\tt{\green {Step-By-Step-Explaination \::- }}$

We know that :

Circumference of a circular track of radius r is 2πr.

Now this body completes half a revolution in the above mentioned track.

Therefore he travels half the circumference of the track.

Now try to visualise the above situation.

See the attachment above.

The distance covered by the above body is equal to the circumference of a semi-circle, which is equal to πr.

The distance covered by the above body is equal to the circumference of a semi-circle, which is equal to πr.The Displacement of the above body is equal to the diameter of the track, which is equal to 2r

___________

Thus the required Answer finally becomes :

The distance travelled by the body is πr cm.

The displacement of the body is equal to 2r cm.

Additional Information :

Displacement is the shortest path between two points .