Itturnsoutthatwhenforobjectsthataremovingveryslowlyorvery, verysmallobjectsinwatersuch a bacteriumiftheyinsuch a case, theviscosityofthewaterisveryimportant.
Andyoufindthatifyoudo a strokeinwhichyousocalledreciprocalstrokeinwhichthestrokelooksthesame, Ford's intimesbackwardsintime.
Soif I'm tryingtostrokelikethat, andthenif I may, youhavetoimagine I'm doingIt's eitherveryslowly, all I'm verysmall.
Thatwouldjustpropelledmeforwordswhen I dothat, andthenbackwardsagain.
When I dothat, we'regonnaknowwhere.
Sothat's a strokeinwhich, ifyourunthevideoforwardsandbackorbackwardsintime, youcan't Youcan't telljustfromlookingatthatstroke.
Whetherthevideoisbeingrunforwardsorbackwardsintimeonobject, like a bacteriumwhichisverysmall, whichislivingin a worlddominatedvibebyviscosityliving a verylowReynoldsnumber, ithastodevelopanothertrickinordertobeabletoswimsoyoucan't use a strokelikethis, whichlooksthesameforwardsorbackwardsintime.
Ithastodevelopsomeothertypeofstroke.
Sooneway, forexample, a bacteriumcoulddoit.
Forexample, an E.
Colibacteriumisthathe's got a littlewhippedliketailontheback, anditrotatesthatroundjustlike a corkscrew.
I meanyou, thebacteriacanuse a littlesilly, a littlehairsthatmovealongtheedgeofitsbody, andthatcouldpropelitthroughliquid.
Sohere, whenwe'reifweifweareisolatedat a smallamplitude, it's a littlelikethebacteriumit's livingatLowReynoldsnumberbecausethisis a timereversiblemotion, it's gonnagonowhere.
Whatessentiallythatthenurtureoftheliquidcanrectifythemotion, thisoscillationinmotionsoitcanturnoscillatingmotioninto a jetofliquidthatcomesoutofthebottomofthisjetofliquidiswhatpropelsthespheresalong.