1.

Write equation of centripetal acceleration and centripetal force for uniform circular motion.

Answer»

Solution :Whenbody OFMASS m moveson circularpath of radiusr withconstantspeedv ithascentripetalor radialacceleration `a= (v^(2))/( R )`. Directionofaccelerationis towardcentreof thecirclewhichis SHOWNINFIGURE

bynewtons secondlawof motionnecessaryforcetoprovidethisacceleration`f_(c ) =(mv^(2))/(R )`
In differentsituationcentripetal forceisprovidedasfollows
(1)Forplanetrevolvingaroundthe sunnecessarycentripetalis providedbygravitationalforce.
(2) Forelectron revolvingarounduncleus in atomnecessary centripetalforce isprovidedbycoulombain force
(3)forvehicles movingon level CIRULAR tracknecessarycentripetalforceis provided byfrictionforcebetweentyeandroad.


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