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Coriolis Effect
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Going Down On the Earth “down” includes centrifugal effects. Objects at restObjects at rest Assume effective gravityAssume effective gravity Local coordinates match “down”Local coordinates match “down” Select 3-axis opposite to down. North in plane with North in plane with East as 1-axisEast as 1-axis
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Local Velocity The angular velocity of the Earth can be expressed in local coordinates. The local velocity is used to get the Coriolis force. e2e2 e3e3
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Deflection VelocityNorthern Southern Hemisphere NorthEastWest SouthWestEast EastSouth and UpNorth and Up WestNorth and DownSouth and Down UpWestWest DownEastEast
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Cyclone In the absence of rotation air would move from high to low pressure. Straight line wind The Coriolis force causes wind to turn. Friction causes equilibrium Circular pattern L L
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Global Flow The general wind circulation is a result of Coriolis forces. Equatorial warm air rises and turns east. Replacing cold air turns westReplacing cold air turns west Trade windsTrade winds Northbound air here turns east – prevailing wind.
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Pendulum Swing A pendulum has a local velocity. Measure displacement from equilibrium. Coriolis force causes a deflection. Select frame that rotates F with deflection. F cor
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Foucault Pendulum The new rotation vector is up in the local system. Related to colatitudeRelated to colatitude Select the local rotation to cancel the Earth’s rotation. Pendulum moves in a turning planePendulum moves in a turning plane Turning represents precessionTurning represents precession
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