Question

an object starts at A and reaches B in a circular path of radius 7m. find the distance and displacement​

Answer 1

✬ Distance = 22 m ✬

✬ Displacement = 14 m ✬

Explanation:

Given:

• An object started moving from point A and reached point B.
• Diameter of circular path is 7 m.

To Find:

• What is distance covered and displacement of object ?

Formula to be used:

• Half circumference of circle = 2πr/2

Solution: Distance covered by object is

• ACB = Half circumference

➟ Distance = 2πr/2

➟ D = πr

➟ D = 22/7(7)

➟ D = 22 m

And displacement of object will be = AB

➟ AB = Diameter = 2r

➟ AB = 2(7)

➟ AB = 14 m

Hence, displacement of object will be 14 m and distance covered by it is 22 m.

Answer 2

✤ ANSWER ✤

❥ GIVEN :

Radius = 7 m

❥ TO FIND :

Distance and Displacement after half revolution ( from A to B )

❥ SOLUTION :

${\red\bigstar\large\bold{\mathrm{\underline{\green{DISTANCE:}}}}}$

☯ Distance would be circumference of circle . Since it covers only half revolution therefore , half the circumference will be taken .

FORMULA USED = $\sf \dfrac{2πr}{2} = πr$

• Distance = πr = $\sf \dfrac{22}{7} \times 7$

• Distance = 22 m

$\large\bold{\mathtt{\underline{\underline{\orange{Distance\:=\:22\:m}}}}}$

${\red\bigstar\large\bold{\mathrm{\underline{\green{DISPLACEMENT:}}}}}$

☯ Displacement is the smallest distance covered or taken . Here displacement is from A to B therefore Displacement = Diameter .

FORMULA USED = $\sf 2r$

• Displacement = 2r = 2(7)

• Displacement = 14 m

$\large\bold{\mathtt{\underline{\underline{\orange{Displacement\:=\:14\:m}}}}}$

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