A body moving along the circumference of a circle completes three revolutions. The radius of circle is r. What is the ratio of displacement to distance? ​

Answers 2

Suppose initial position of body is P

The body takes 3 revolutions and reached at P again.

So the displacement is zero as the initial and final points are same.

But the distance is 6πr

Thus the ratios is 0 : 6πr

Answer:

The ratio of displacement to distance will be 0 : 6πr.

Explanation:

Displacement of a body is defined as the shortest distance between its initial and final positions. Distance is the total length of the path traveled by the body.

Here the body is moving along a circular path. It completed three revolutions around the circular path. The initial and final positions of the body must be the same as it completed three full revolutions. So the displacement of the body will be zero.

The circumference of a circle is given by the equation 2πr, where r is the radius of the circle. If the body makes one complete revolution the distance traveled by it will be 2πr. So if the body makes three complete revolutions the distance covered by it will be 3 × 2πr = 6πr.

So the ratio of displacement to distance will be 0 : 6πr.

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