Question

A reference frame rotates with a constant angular velocity $\omega$ about a stationary axis of a body of mass $m$. Find the resultant Coriolis force experienced by the reference frame.

• A. $F_{cor}=2m[\overrightarrow{v^{\prime }}\times \overrightarrow{\omega }]$
• B. $F_{cor}=m[\overrightarrow{v^{\prime }}\times \overrightarrow{\omega }]$
• C. $F_{cor}=3m[\overrightarrow{v^{\prime }}\times \overrightarrow{\omega }]$
• D. $F_{cor}=4m[\overrightarrow{v^{\prime }}\times \overrightarrow{\omega }]$

Answer 1

The correct option is A $F_{cor}=2m[\overrightarrow{v^{\prime }}\times \overrightarrow{\omega }]$

Coriolis effect is an effect whereby a mass moving in a rotating system experiences a force (the Coriolis force) acting perpendicular to the direction of motion and to the axis of rotation.

The force acting on a body moving with velocity $\overrightarrow{v}$ in a frame with respect to which the rotating frame has angular velocity $\overrightarrow{\omega }$ is $F_{cor}=2m[\overrightarrow{v}\times \overrightarrow{\omega }]$