10230

# Motion on Surface of the Earth: Coriolis Force

A projectile is launched along the axis at a fixed latitude on the surface of the Earth. The projectile experiences the effect of the Coriolis force, which is a fictitious force observed in a rotating reference frame (blue curve), deflecting the trajectory clockwise in the Northern Hemisphere and counterclockwise in the Southern Hemisphere, with respect to an inertial frame (red curve). This effect is important for oceanic currents, prevailing winds, hurricanes, and so on.

### DETAILS

Newton's second law in a rotating coordinate system is
,
where the terms on the right-hand side are the transverse force (proportional to the angular velocity), the Coriolis force, and the centripetal force. The equations for the components are
It can be shown that a solution (taking and ) is
Neglecting terms in , the solutions are
See R. L. Zimmerman and F. I. Olness, Mathematica For Physics, 2nd ed., Reading, MA: Addison–Wesley, 2002.

### PERMANENT CITATION

 Share: Embed Interactive Demonstration New! Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site. More details » Download Demonstration as CDF » Download Author Code »(preview ») Files require Wolfram CDF Player or Mathematica.

#### Related Topics

 RELATED RESOURCES
 The #1 tool for creating Demonstrations and anything technical. Explore anything with the first computational knowledge engine. The web's most extensive mathematics resource. An app for every course—right in the palm of your hand. Read our views on math,science, and technology. The format that makes Demonstrations (and any information) easy to share and interact with. Programs & resources for educators, schools & students. Join the initiative for modernizing math education. Walk through homework problems one step at a time, with hints to help along the way. Unlimited random practice problems and answers with built-in Step-by-step solutions. Practice online or make a printable study sheet. Knowledge-based programming for everyone.