Understanding Kinematic Equations

Today we are going to talk about Kinematics equations. Kinematics is known as a subfield of physics. Kinematics has evolved into classical mechanics. Kinematics is a branch of physics that defines motion in terms of space and time. Kinematics ignores the causes of motion. Kinematics is also known as kinetics. Equation of kinematics is a set of equations that can get an unknown aspect of body motion. So let us gather a little more information about Kinematics equations.

Kinematic Equations


Understanding Kinematic Equations

Kinematics equations begin by describing the geometry of the system and by declaring the initial conditions of any velocity, position and acceleration of points within the system. Kinematics equations are used in mechanical engineering to describe the motion of robotics and systems made up of connected parts such as biomechanics, robotic arms or human skeletons.

Kinematics equations are also used to describe the motion of components in a mechanical system. Kinematics simplifies the derivation of motion equations. Kinematics is also the center of dynamic analysis. In addition, Kinematics equations apply algebraic geometry to the study of the mechanical benefits of kinetic mechanical systems or mechanisms. Kinematics equations and cinematic are related to the French word cinema. But it did not arise directly from it. Yet Kinematics basically shares a similar term.

These Equations Link Five Kinematic Variables

Essentially, kinematics equations can derive one or more variables from kinematics if given the other. Kinematics equations define motion on both motion and constant acceleration. Because a kinematics equation only applies at constant acceleration or constant speed. So if we change one of the two equations then no one can use it.

  • Time interval (denoted by t)
  • Displacement (denoted by Δx)
  • Constant acceleration (denoted by a)
  • Initial velocity (v0)
  • Final velocity (denoted by v)

Inverse Kinematics

Inverse Kinematics does the opposite of kinetics and if the user has an end of a certain structure then certain angle values through the joints are needed to achieve that end point. Inverse Kinematics is a little tricky and Inverse Kinematics usually has more than one or even infinite solutions.

There Are Four Basic Inverse Kinematics Equations

  • Δx=(v+v02)t
  • v=v0+at
  • v2=v2o+2aΔx
  • Δx=v0t+12at2

Note : If any four variables are given then the user can easily calculate the fifth variable using kinematic equations.

Rotational Kinematics Equations

The user was looking at translational or linear dynamics equations that relate to linearly moving body motion. This is another branch of the equation that relates to the rotational motion of any. This is however just a personalization of the previous Kinematics equations changing those variables.

  • Initial and final velocities are replaced by initial and final angular velocity.
  • Time is the only constant.
  • Displacement is replaced by a change in angle.
  • Acceleration is replaced by angular

Rotational Motion (α = constant)

  • ω=ω0+αt
  • Θ=12(ω+ω0)t
  • Θ=ω0t+12αt2
  • ω2=ω20+2αΘ

Linear Motion (a = constant)

  • v=v0+at
  • x=12(v0+v)t
  • x=v0t+12at2
  • v2=v20+2ax

Velocity and Speed

The velocity of a particle is the vector quantity. The vector quantity describes the direction as well as the direction of motion of the particles. More mathematically in terms of time and the rate of change of the position vector of a point is the velocity of the point. The user should consider the ratio formed by dividing the difference between the two states of a particle by the time interval. This ratio is called the average velocity in that time interval and is defined as velocity = displacement / time taken.