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## Homework Statement

The Coriolis force can produce a torque on a spinning object. To illustrate this, consider a horizontal hoop of mass m and radius r spinning with angular velocity w about its veritcal axis at colatitude theta. Show that the Coriolis force due to the earth's rotation produces a torque of magnitude mwWr^2sin[theta] directed to the west, where W is the earth's angular velocity.

## Homework Equations

Coriolis force = 2mr' X W

Torque = F X d

## The Attempt at a Solution

r'=rXw

Fcor= 2m(rXw) X W

= 2mrwW

Torque = Fcor X r

= 2mr^2wWsin[theta]

I'm supposed to get half of this value somehow, and the direction is not at all clear and from my diagram is constantly changing...

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