Question

What is the difference between uniform circular motion and nonuniform circular motion?

Answer 1

Uniform motion is when an object travels equal distances in equal intervals of time
for eg. a car on a highway.

non uniform motion is when an object travels unequal distances in equal intervals of time

for eg. a car in a crowded market

Answer 2

In uniform circular motion, the linear velocity of the test particle is related to the angular velocity as
\[v = r*\omega\]
v - linear velocity, r - radius of the curve, w- angular velocity.
Thus there is no 'sliding' ahead of the particle. Think of a cog wheel moving on a gear. it can not slide. so any particle sitting at any point on the wheel will have its linear and angular velocities proportional to each other

Answer 3

well simply put. in a uniform circular motion

a) the angular speed is a constant.. and the acceleration is always directed towards the centre

however in a NON uniform one.. angular speed ain't a constant.. hence at any point.. the acceleration may have a component which is tangential to the path and thus the net acceleration need not be directed towards the centre!

rolling motion is an example for non uniform circular motion.. the wheel particles travel slower at the bottom and travel faster at the top!