Linear Angular Velocity & Acceleration

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What is linear and angular velocity?
The rate of change of linear displacement (distance travelled) with respect to time is called as Linear velocity. Unit is “m/s”
The rate of change of angular displacement (Angle travelled) with respect to time is so called as Angular velocity. Unit is “rad/s”.

What is linear acceleration and derive unit of it?
Linear acceleration is defined as the rate of change of linear velocity with respect to time.
We know linear velocity bears the unit of “m/s”
So for linear acceleration – (m/s)/s  = “m/s2”.

What is angular acceleration and derive unit of it?
Angular acceleration is defined as the rate of change of angular velocity with respect to time.
We know angular velocity bears the unit of “rad/s”
So for linear acceleration – (rad/s)/s  = “rad/s2”.

What is the relation between Angular and linear quantities?
Any angular quantity multiplied by radius of rotation gives the corresponding linear quantity. For example we assume
v- Linear velocity
k- Angular velocity
R- Radius of rotation


Then v=k *R

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