Adisk rotates about an axis through its center. point a is located on its rim and point b is located exactly one fifth of the way from the center toward the rim. what is the ratio of the angular velocity ωa to that of ωb, and the tangential velocity va to that of vb?

= distance of point "a" from center of disk = r

= distance of point "b" from center of disk = r/5

= angular velocity of point "a"

= angular velocity of point "b"

= tangential velocity of point "a"

= tangential velocity of point "b"

We know that angular velocity is independent of the distance from the center, hence the angular velocity is same at all points on the disk.

=

Ratio of angular velocity =

Ratio of angular velocity =

Ratio of angular velocity = 1

Tangential velocity is given as

v = r w

hence the ratio of tangential velocity is given as

Ratio of tangential velocity =

Ratio of tangential velocity  =

Ratio of tangential velocity =  

Ratio of tangential velocity = 5

the answer is b ) square root of 5

answer; how far out of place which the object finished relative to the starting location;