Circular motion is a movement of anobject along the circumference ofa circle or rotation along a circular path or acircular orbit. The rotation around a fixed axis of athree-dimensional body involves circular motionof its parts. The equations describing circularmotion of an object do not take size or geometryinto account, rather, the motion of a point mass ina plane is assumed. It can be uniform, that is, with constantangular rate of rotation (and thus constant speed),or non-uniform, that is, with a changing rate ofrotation.
Circumference of the circleC = 2π r.Angular rate or angular velocity*Angular velocity is measured in radians / second, although for motors in particular it is commonly expressedin rpm (revolutions per minute).
The axis of rotation is shown as a vector Ω perpendicularto the plane of the orbit and with a magnitude ω = dθ/ dt. The direction of Ω is chosen using the right-handrule. With this convention for depicting rotation, thevelocity is given by a vector cross product aswhich is a vector perpendicular to both Ω and r ( t ),tangential to the orbit, and of magnitude ω r. Likewise,the acceleration is given bywhich is a vector perpendicular to both Ω and v ( t ) ofmagnitude ω |v| = ω2 r and directed exactly oppositeto r ( t ).
WHERE : Ω = represents the rotation to the plane of the orbit. C = circumference Ω = angular rate or angular velocity T = period for one rotation r = radius v = speed t = time
Circular motion is accelerated even if theangular rate of rotation is constant, because theobjects velocity vector is constantly changingdirection. Such change in direction of velocityinvolves acceleration of the moving object bya centripetal force, which pulls the movingobject toward the center of the circular orbit.Without this acceleration, the object wouldmove in a straight line, according to Newtonslaws of motion.
According to the right hand rule. If the object isin counter-clockwise ("anti-clockwise")horizontal circular motion (as viewed fromabove), then the angular velocity vector willpoint vertically upward. In the absence ofgravity, the centripetal force will behorizontal, in the plane of motion, pointingtowards the center of the circle. If youre takinga downward gravitational force intoaccount, then the centripetal force will beinward but also upward. The object will moveupward if the vertical component of thecentripetal force is greater than the objectsgravitational weight.
Benyna Ninez L. BausasJessica Elaine M. Palo Eloisa A. Caisip Presented to: Mrs. Gliceria Quizon (Physics Teacher)Shaira Marie T. Vasquez Meryll Elijah C. Mendoza
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