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Dynamics Of Rigid Bodies2D

Kinematics of Particles - Theory & Concepts - Radial Transverse

Study of the geometry of motion of particles without considering the forces causing the motion, including rectilinear and curvilinear motion.

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Radial and Transverse Kinematics Visualizer

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Radial Position (r)120.0 m

Angle (θ)45.0°

Radial Velocity (

\dot{r} = v_r

)20.0 m/s

Angular Velocity (

\dot{\theta} = \omega

)0.50 rad/s

Mathematical Kinematics

Velocity components:

v_r = \dot{r} = 20.0\text{ m/s}

v_\theta = r\dot{\theta} = (120)(0.50) = 60.0\text{ m/s}

v = \sqrt{v_r^2 + v_\theta^2} = 63.2\text{ m/s}

Acceleration (

\ddot{r}=0, \ddot{\theta}=0

):

a_r = -r\dot{\theta}^2 = -(120)(0.50)^2 = -30.0\text{ m/s}^2

a_\theta = 2\dot{r}\dot{\theta} = 2(20)(0.50) = 20.0\text{ m/s}^2

a = \sqrt{a_r^2 + a_\theta^2} = 36.1\text{ m/s}^2

v_r

(Radial Velocity)

v_\theta

(Transverse Velocity)

v

(Total Velocity)

a_r

(Radial Accel.)

a_\theta

(Transverse Accel.)

Kinetics of Particles: Force and Acceleration - Theory & Concepts - Orbital Mechanics Kinetics of Particles: Work and Energy - Theory & Concepts - Work Energy Kinetics of Particles: Impulse and Momentum - Theory & Concepts - Collision Kinetics of Particles: Impulse and Momentum - Theory & Concepts - Coefficient Of Restitution