# Homework Help: Coriolis force on a plane

1. Jan 7, 2008

### karnten07

1. The problem statement, all variables and given/known data
A plane with a fully laden mass of 500 tonnes is flying due north at a steady speed of 1000kmh^-1 and is located at a latitude of 51 degrees north at a specific time.

What force in an east-west direction is required to keep the plane on course along a fixed line of longitude.

2. Relevant equations

3. The attempt at a solution

So due to the inertial effect of the Coriolis force, the plane requires a force acting east to keep it on a fixed line of longitude because the coriolis force is acting west on the plane.

The magnitude of the coriolis force is given by this equation:

mx'' = -2mw(z'cos(theta) - y'sin(theta))

where x is the east direction , z is vertically up, y is north, theta is the latitude

So in this case, because there is no velocity in the z direction, it becomes:

mx'' = -2mw(-y'sin(theta))

Is this right?

2. Jan 7, 2008

### karnten07

Hi guys, i think ive got this right, but im not entirely sure, i get a force of 16000 N.