Question

an object moving in a circular path and covered 3/4th distance on the perimeter of the path to reach from A and B. If 'r' is radius of the circular path,then the ratio between distance travelled and displacement by the odject between A and B is

Answer 1

Answer:

Distance travelled by the object = (3/2)πr

displacement by the object = √2r

ratio b/w

distance travelled by the object/ displacement of the object=3π/(2√2)

                           

1. Step-by-step explanation:

Answer 2

The ratio of distance traveled and displacement by the object between A and B is    $\frac{3\pi }{2\sqrt{2} }$  .

Step-by-step explanation:

Given:

Object moving in a  covered 3/4th distance on the perimeter of the  circular path to reach from A and B Circular path is radius is r.

To Find:

The ratio of  distance traveled and displacement by the object between A and B.

Formula Used:

The distance around the whole circle =2πr,

The displacement vector has at 45 degrees to the radius vector at the starting point and  has length of $\sqrt{2} r$

Solution:

As given- object moving in a  covered 3/4th distance on the perimeter of the  circular path to reach from A and B Circular path is radius is r.

The distance around the whole circle =2πr,

so the distance  traveled  around 3/4 of a circle $=(\frac{3}{4}) 2\pi r$ =$=\frac{3}{2}\pi r$.

The displacement vector has  at 45 degrees to the radius vector at the starting point and  has length of $\sqrt{2} r$.

Hence ratio of The ratio between distance traveled and displacement by the object between A and B.=

=Distance the distance  traveled around 3/4 of a circle/ Displacement = $\frac{3\pi }{2\sqrt{2} }$

Thus, the ratio of distance traveled and displacement by the object between A and B is    $\frac{3\pi }{2\sqrt{2} }$  .