Kinematic Equations for Rotational Motion
Equation of motion for rotational motion are:
First Equation (Angular Velocity-Time Relation):
ωf = ωi + αt
Second Equation (Angular Displacement-Time Relation):
θ = ωit + 1/2αt2
Third Equation (Angular Velocity-Angular Displacement Relation):
ωf2 = ωi2 + 2αθ
Fourth Equation (Average Angular Velocity):
θ = (ωi + ωf)t/2
where,
- ωf​: Final Angular Velocity
- ωi​: Initial Angular Velocity
- α: Angular Acceleration
- t: Time
- θ: Angular displacement
Kinematics | Definition, Formula, Derivation, Problems
Kinematics is the study of motion of points, objects, and systems by examining their motion from a geometric perspective, without focusing on the forces that cause such movements or the physical characteristics of the objects involved. This study area uses algebra to create mathematical models that describe these motions, essentially treating it as the mathematics behind how things move.
Kinematics is a field of classical mechanics that deals with the motion of points, objects, and systems of objects. Kinematics is sometimes referred to as “motion geometry” by some professionals. Let’s have a look at the formula for kinematics.
In this article, we shall learn about kinematics, which is the study of motion, along with its formulas, derivation of kinematics formula, examples and others in detail.
Table of Content
- What is Kinematics?
- Kinematics Definition
- Kinematic Formulas
- Derivation of Kinematic Formulas
- Derivation of First Kinematic Formula
- Derivation of Second Kinematic Formula
- Derivation of Third Kinematic Formula
- Derivation of Fourth Kinematic Formula
- Kinematics Solved Examples
- Practice Problems on Kinematics