kinematic
(adjective)
of or relating to motion or kinematics
Examples of kinematic in the following topics:
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Defining Kinematics
- Kinematics is the study of the motion of points, objects, and groups of objects without considering the causes of its motion.
- The study of kinematics is often referred to as the "geometry of motion."
- A formal study of physics begins with kinematics.
- Kinematic analysis is the process of measuring the kinematic quantities used to describe motion.
- Kinematic equations can be used to calculate the trajectory of particles or objects.
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Constant Angular Acceleration
- Kinematics is the description of motion.
- We have already studied kinematic equations governing linear motion under constant acceleration:
- Similarly, the kinematics of rotational motion describes the relationships among rotation angle, angular velocity, angular acceleration, and time.
- By using the relationships a=rα, v=rω, and x=rθ, we derive all the other kinematic equations for rotational motion under constant acceleration:
- Relate angle of rotation, angular velocity, and angular acceleration to their equivalents in linear kinematics
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Applications
- There are four kinematic equations that describe the motion of objects without consideration of its causes.
- Kinematics is the branch of classical mechanics that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without consideration of the causes of motion.
- There are four kinematic equations when the initial starting position is the origin, and the acceleration is constant:
- Notice that the four kinematic equations involve five kinematic variables: $d$, $v$, $v_0$, $a$, and $t$.
- Choose which kinematics equation to use in problems in which the initial starting position is equal to zero
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Problem-Solving Techniques
- Examine the situation to determine that rotational kinematics (rotational motion) is involved.
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Kinematics of UCM
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Motion with Constant Acceleration
- Acceleration can be derived easily from basic kinematic principles.
- Due to the algebraic properties of constant acceleration, there are kinematic equations that relate displacement, initial velocity, final velocity, acceleration, and time.
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The Kinematics of Photon Scattering
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Relationship Between Linear and Rotational Quantitues
- With the relationship of the linear and angular speed/acceleration, we can derive the following four rotational kinematic equations for constant $a$ and $\alpha$:
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Centripetial Acceleration
- As mentioned in previous sections on kinematics, any change in velocity is given by an acceleration.
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Average Velocity: A Graphical Interpretation
- The kinematic formula for calculating average velocity is the change in position over the time of travel.