Question

if the radius of revolution of a particle moving along a circular path in doubled and its angular speed is halved then the centripetal acceleration is​

Answer 1

Answer:

Centripetal acceleration a

r

=rw

2

Using v=rw ⟹a

r

=vw

Now the speed is doubled but the angular speed is halved i.e v

′

=2v and w

′

=

2

w

∴ New centripetal acceleration a

r

′

=v

′

w

′

=(2v)×

2

w

=vw=a

r

Thus the centripetal acceleration remains the same.