Question

5. A particle move in a circular path of radius r. Find distance
and displacement in half revolution of particle.​

Answer 1

Answer:-

Given:-

Particle is rotating in a circular path of radius r.

Explanation

Distance =?.

At half revolution.

so Now,

$1 \: revolution = 2\pi \: r$

$\frac{1}{2} revolution = \frac{2\pi \: r}{2}$

This implies,

$\frac{1}{2} revolution = \pi \: r$

$\boxed{\boxed{Distance = \pi \:r}}$

so, distance covered by the particle is πr.

Displacement = ?.

Displacement is shortest distance from initial and final positions.

so, after completing 1/2 revolution the displacement will be

Displacement = r + r

Displacement = 2r

$\boxed{\boxed{Displacement = 2r}}$

so, Displacement covered by the particle is 2r.