Lecture 9 The Coriolis Force Life in an Accelerating …...Lecture 9 The Coriolis Force Life in an...

8
Lecture 9 The Coriolis Force Life in an Accelerating Reference Frame Suppose we step into a subway car with a Teflon floor. • When the train starts to accelerate, we slide backward until we hit the back wall. • From our perspective in the accelerating car, there is a backward ‘apparent’ force that rammed us into the back wall. (rest) Our actual position Our original position with respect to car Our motion with respect to car time

Transcript of Lecture 9 The Coriolis Force Life in an Accelerating …...Lecture 9 The Coriolis Force Life in an...

Page 1: Lecture 9 The Coriolis Force Life in an Accelerating …...Lecture 9 The Coriolis Force Life in an Accelerating Reference Frame • Suppose we step into a subway car with a Teflon

• SupsubTefl

• Whaccbacthe

• Frothethe‘aprambac

Our actual position

Our original positionwith respect to car

Our motion withrespect to car

Lecture 9 The Coriolis Force

Life in an Accelerating Reference Framepose we step into away car with aon floor.en the train starts toelerate, we slidekward until we hit back wall.m our perspective in accelerating car,re is a backwardparent’ force thatmed us into thek wall.

(rest)

time

Page 2: Lecture 9 The Coriolis Force Life in an Accelerating …...Lecture 9 The Coriolis Force Life in an Accelerating Reference Frame • Suppose we step into a subway car with a Teflon

On th e it takes a forceto ac

Thes

Cen

Co

dct

cle

er

ct

e rotating earth, we feel similar ‘apparent’ forces becauscelerate an object in a circle.

e apparent forces are:

trifugal force

riolis force

Centripetalforce needeto keep objegoing in cir

Apparentcentrifugalforce felt by

rotating observ

Motion ofrotating obje

Page 3: Lecture 9 The Coriolis Force Life in an Accelerating …...Lecture 9 The Coriolis Force Life in an Accelerating Reference Frame • Suppose we step into a subway car with a Teflon

• Apoutpol

• Sligapp

0e

• Seasurkmfroear

• By verywhere wecan

Gravity

CentrifugalEffectivegravity

Centrifugal ‘Force’

parent force pullingward from Earth’sar axis.htly changes thearent gravity

.5% weaker at thequator than at poles

level (and Earthface) are pulled 20 (0.3%) furtherm the center of theth at the equator than at poles. redefining ‘gravity’ to point perpendicular to sea level e absorb centrifugal ‘force’ into gravity.

Page 4: Lecture 9 The Coriolis Force Life in an Accelerating …...Lecture 9 The Coriolis Force Life in an Accelerating Reference Frame • Suppose we step into a subway car with a Teflon

• An(Ga

Coriolis ‘force’ or effect

apparent force on moving objects on the rotating Earth.spard Coriolis, 1848)

EOM 6.12

Page 5: Lecture 9 The Coriolis Force Life in an Accelerating …...Lecture 9 The Coriolis Force Life in an Accelerating Reference Frame • Suppose we step into a subway car with a Teflon

• Ro• Lat• Spe

It acc misphere and totheir rce at the equa-tor.

It is a direction but notits sp

A cofeelsIf theimpewoul

le

Denver

SLC

Coriolis force increases proportional to ...

tation rate of the planetitude.ed of the object

elerates moving objects to their right in the Northern Heleft in the Southern Hemisphere. There is no Coriolis fo

t right angles to the motion, changing a moving object’seed.

mmercial jet flying from Seattle to Denvera sideways Coriolis force of 0.1% of gravity. jet starts flying toward Denver, it mustrceptibly tip its wings to compensate, else itd be deflected to Salt Lake City!

Seatt

Coriolis Force

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r ofre at

Coriolis Force and Air MotionEOM 6.14

Isobar = contou contant pressu a given height.

Page 7: Lecture 9 The Coriolis Force Life in an Accelerating …...Lecture 9 The Coriolis Force Life in an Accelerating Reference Frame • Suppose we step into a subway car with a Teflon

ng wind

Exce long the isobarsat a s he PGF.

Closely packed contours ⇒ Strong PGF ⇒ Stro

pt near surface, winds are nearly geostrophic, blowing apeed for which the Coriolis force (CF) nearly balances t

(EOM)

Page 8: Lecture 9 The Coriolis Force Life in an Accelerating …...Lecture 9 The Coriolis Force Life in an Accelerating Reference Frame • Suppose we step into a subway car with a Teflon

Frict rd low pressure.Less e along isobars.

EO

Effect of Friction

ion causes near-surface wind to spiral out of high, in towafriction over water than land, so surface wind blows mor

M 6.18