Question

• A man is moving on a circular field of radius 14m calculate distance and displacement covered by him in.
1) One complete rotation
2) In half rotation ​

Answer 1

Answer:

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Explanation:

Answer 2

Question :

A man is moving on a circular field of radius 14m calculate distance and displacement covered by him in.

1) One complete rotation

2) In half rotation

Answer :

$\sf\pink {Given:}$

• Radius of a circular field is 14 m .

$\sf\pink {To\:find :}$

• distance and displacement covered in one complete rotation ?

• distance and displacement covered in half rotation ?

Explanation :

• In First case ,

One complete rotation is completed .

• Distance is the actual path travelled by a body.

• Displacement is the minimum distance between the starting and ending points.

Therefore the distance covered is equal to the circumference of the circular field .

$\sf\purple {Circumference = 2\pi r}$

$\\ \longrightarrow\sf{2\times \dfrac {22}{7}\times 14}$

$\\ \longrightarrow\sf{2\times 22\times 2}$

$\\ \longrightarrow\sf{44\times 2}$

$\\ \longrightarrow\sf{88}$

• Therefore the distance covered in one complete rotation is 88 cm .

• As the starting and ending points are same the displacement is 0 cm

In second case

half round is covered so the distance would be half of the circumference .

Distance = 1/2 × 88

Distance = 44 cm

the minimum distance between the starting and ending points is equal to the distance . it means the displacement is equal to the distance covered so the displacement is 44 cm .