Question

an object is moving on a circular path it is complete 2.75 Revolution then find Total distance and displacement covered by the object radius of the circle is 5 metre​

Answer 1

Answer:

2R

Step-by-step explanation:

When it completes half a revolution,

Distance traveled/Pathlength will be equal to half of the circumference of the circle. That is = (pie)(R).

Whereas Displacement is defined to be = final position - initial position. Or you can think of displacement as the shortest path from initial position to the final position. It comes out to be the diameter of the circle = 2R.

Answer 2

Distance= 2.75×circumference
=2.75×2πr = 2.75 × 2× 22/7 × 5
= 86.428 metres

Displacement = 0.75 revolution because after completing 2 revolution the object is at the same place therefore displacement is zero and the net displacement is only 0.75 revolution.
But we know Displacement is the shortest possible distance between initial and final points.
So, Displacement is the line joining the starting point to the point where 0.75 revolution (that is 3/4th of the circle) was completed.

If you could visualise then in order to find out the length of that line we first need to join the two ends of that line to the centre of the circle and that will be the radius which is equal to 5metres. Now a right angled triangle is formed.
By Phythagoras Theorem, the length of the line will be 5√2 metres = 7.07 metres.

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