Question

A particle is moving in a circle of diameter 20 m. What is its dispLACEMENT after 1.5 and 2.5 round

Answer 1

Answer:

We know that,

Displacement=The shortest distance between initial and final position

For one complete revolution,

Final position-Initial position=0

Hence displacement=0

Explanation:

Answer 2

• The displacement after 1.5 round = 94.2 m

• The displacement after 2.5 round = 157 m

Given :

A particle is moving in a circle of diameter 20 m

To find :

• The displacement after 1.5 round

• The displacement after 2.5 round

Formula :

For a circle of radius r unit the circumference of the circle = 2πr unit

Solution :

Step 1 of 4 :

Find radius of the circle

Here it is given that the particle is moving in a circle of diameter 20 m

The radius of the circle

= r

= 20/2 m

= 10 m

Step 2 of 4 :

Find circumference of the circle

The circumference of the circle

= 2πr m

$\displaystyle \sf{ = 2 \times 3.14 \times 10 \: \: m }$

$\displaystyle \sf{ = 62.8 \: \: m }$

Step 3 of 4 :

Calculate the displacement after 1.5 round

The displacement after 1.5 round

= 1.5 times the circumference of the circle

= 1.5 × 62.8 m

= 94.2 m

Step 4 of 4 :

Calculate the displacement after 2.5 round

The displacement after 2.5 round

= 2.5 times the circumference of the circle

= 2.5 × 62.8 m

= 157 m

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