Question

A particle moves in circular path with uniform speed v.
The change in its velocity on rotating through 60° is -​

Answer 1

Answer:

displacement of particles :

Since the particle has moved by an angle of

60

o

, if we join the initial and final positions of the particles with the center, the figure so formed will be an equilateral triangle. Since all the sides of an equilateral triangle are equal, the displacement would be equal to the radius of the circle.

average velocity : Average velocity of the particle is = total displacent

/

time

Let the radius of the circle be

R

Displacement =

R

Now,

total time taken by the particle to complete 1 rotation

i

.

e

to cover

360

o

⇒

T

=

2

π

R

v

So, time taken to cover

60

o

⇒

T

1

=

1

6

T

T

1

=

π

R

3

v

So, average velocity

=

R

π

R

v

=

v

π