Question #36858

which develops power P coriolis force?

Expert's answer

Which develops power P coriolis force?

**Answer**

The Coriolis force is given by formula:


FC=2mω×v,\vec{F_C} = -2m \vec{\omega} \times \vec{v},


where mm is the mass of the relevant object, v\vec{v} is the velocity of the particle in the rotating system, and ω\vec{\omega} is the angular velocity vector which has magnitude equal to the rotation rate ω\omega and is directed along the axis of rotation of the rotating reference frame, and the ×\times symbol represents the cross product operator.

Power which develops Coriolis force:


P=FCv=2m(ω×v)v=0,P = \vec{F_C} \cdot \vec{v} = -2m(\vec{\omega} \times \vec{v}) \cdot \vec{v} = 0,


Because vector ω×v\vec{\omega} \times \vec{v} is perpendicular to vector v\vec{v} and scalar product of two vectors that perpendicular to each other is zero.

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