Velocity in Spherical Coordinates

Part 1

When using spherical coordinates for space curvilinear motion the expression for velocity is

Answer Section

• \({\bf{v}} = \dot{R}{\bf{e_r}} + R\dot{\theta}.cos(\phi){\bf{e_{\theta}}} + R\dot{\phi}{\bf{e_{\phi}}}\)

• \({\bf{v}} = \dot{R}{\bf{e_r}} + R\dot{\theta}.sin(\phi){\bf{e_{\theta}}} + R\dot{\phi}{\bf{e_{\phi}}}\)

• \({\bf{v}} = \dot{R}{\bf{e_r}} + R\dot{\phi}.cos(\theta){\bf{e_{\phi}}} + R\dot{\theta}{\bf{e_{\theta}}}\)

• \({\bf{v}} = \dot{R}{\bf{e_r}} + R\dot{\theta}{\bf{e_{\theta}}} + R\dot{\phi}{\bf{e_{\phi}}}\)

Attribution

Problem is licensed under the CC-BY-NC-SA 4.0 license.