Question

an object is performing uniform circular motion on a circle of radius R with uniform speed V find the displacement of object when three fourth of rotation is completed​

Answer 1

Answer:

R√2

As it is a circle completing 3/4 of a rotation will lead it to be 1/4 of the circumference far from the initial start point.

When we join both the points we get a hypotenuse of a triangle whose sides are R and R

The hypotenuse will become R√2

Answer 2

An object is performing uniform circular motion on a circle of radius R with uniform speed V find the displacement of object when three fourth of rotation is completed​ -

Given - Radius - R,

            Uniform speed - V

To Find - Displacement of object when 3/4th of rotation is completed

Explanation:

Solution -

When it completes 3/4th  of the circle:-

The distance covered=  $\frac{3}{4}$ (circumference)

$\frac{3}{4}$ (2πR) = $\frac{3}{2}$ πR

The displacement= AB

AB² = R² + R²

AB² = 2R²

AB = √2R

Displacement = √2R

Distance = $\frac{3}{2}$ πR