There is an analogy between rotational and linear physical quantities. what rotational quantities are analogous to distance and velocity?

ANSWER:

Angular displacement is analogous to distance.

Angular velocity is analogous to velocity.

EXPLANATION:

FOR  ANGULAR DISPLACEMENT AND DISTANCE

Angular displacement = theta

theta = s/r

s = linear dispalcement/distance

r= radius.

so ,

linear displacement/distance  s = theta * r.

FOR  ANGULAR VELOCITY AND VELOCITY

Angular velocity = w

w = v/r

v = velocity

r = radius

so,

velocity v = w * r.

Rotational units can be said to be analogous to linear physical units, for example, linear distance is analogous to angular displacement, since angular displacement is defined as the distance a body travels in a rotary motion.

On the other hand, linear velocity is analogous to angular velocity, since said angular velocity is the angular distance that a body covers per unit of time.

Explanation:

conservation of mass

mass before something happens = mass afterwards