Question

A particle moves on a circular path of radius 7 cm find distance and displacement

Answer 1

Displacement is the shortest distance between two points. Here, a particle is moving on a circular path of radius 7cm from starting point and then get back to the initial point. So that starting point and ending point of particle is same.

So,

Distance = circumference of circle

= 2πr

= 2πr

= 2 × 22/7 × 7

= 44cm

Now, displacement covered by object here will be equal to the minimum distance between initial point and final point, but initial and final points are same, so displacement will be zero.

Displacement = 0cm.

Hence, distance covered by particle is 44cm and displacement is zero.

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Extra information:-

Distance and Displacement :- They are considered to be different at first, like, if you are at your home and you go to market and then return to your home, the market is 5 km away from your house, then the distance from both the sides in returning as well will be fixed as 10km.

But when we reach the market from your home, the displacement will be 5km(shortest path).

And when we return to our home from market, the displacement will be 0 but we have covered a distance of 10km and returned back to the starting point.

Answer 2

Refer to the attachment for the diagram !

Distance:-

• the total distance travelled by the body will be equal to the circumference of this circle

Formula:-

$\underline{\boxed {\sf Circumference = 2πr}}$

Solution:-

Circumference = 2×$\sf\dfrac{22}{7}$ × 7

Circumference = 44 cm.

Displacement:-

• the shortest distance between the initial and the final position of this body will be 0. because the initial and the final positions are same.