- #1

Swatch

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Am I totally wrong here?

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- Thread starter Swatch
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- #1

Swatch

- 89

- 0

Am I totally wrong here?

- #2

Maxos

- 92

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it is not moving

What?

- #3

Swatch

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- 0

- #4

Doc Al

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An object spinning in a circle is most definitely accelerating! It is accelerating towards the center of the circle; this is usually called

- #5

Swatch

- 89

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That's what I thought. But wasn't sure because the object isn't in an inertial frame of reference.

- #6

- #7

Swatch

- 89

- 0

An incompressible fluid with density rho is in a horizontal test tube of inner cross-sectional area A. The test tube spins in a horizontal circle with angular speed w. Gravitational forces are negligeble. An object of volume V and density RHOob has its center of mass at a distance Rcmob from the axis. Show that the net horizontal force on the object is rhoVw^2Rcm, where Rcm is the distance from the axis to the center of mass of the displaced fluid. I have already derived expressions for the pressure at a distance from the surface of the water, and for the pressure difference for a volume element of thickness dr. It seems to me that the net force on the object is the mass*acceleration of the displaced fluid volume.

I don't know how to treat this problem. I see the force as the mass*acceleration of the object + displaced water.

Could anyone please help me.

- #8

Doc Al

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The net force on any object is its mass time its acceleration. This object is being centripetally accelerated, so [itex]F_{net} = m a_c[/itex].Swatch said:It seems to me that the net force on the object is the mass*acceleration of the displaced fluid volume.

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