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### 38 Cards in this Set

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 ROTATIONAL SPEED (R.S.) -ANGULAR SPEED -NUMBER OF ROTATIONS/REVOLUTIONS PER UNIT OF TIME. (RPM) TANGENTIAL SPEED (T.S.) -LINEAR SPEED OF SOMETHING MOVING ALONG A CIRCULAR PATH. -DIRECTIONAL SPEED IS TANGENT TO CIRCUMFERENCE OF CIRCLE. (M/S OR KM/H) -OUTSIDE EDGE/GREATER DISTANCE/GREATER SPEED -CLOSE TO AXIS/SMALLER DISTANCE/SLOWER SPEED R.S./T.S. RELATIONSHIP -DIRECTLY PROPORTIONAL TO EACH OTHER AT ANY FIXED POINT FROM AXIS OF ROTATION. -GREATER RPMS MORE M/S TANGENTIAL SPEED FORMULA RADIAL DISTANCE (r) x ROTATIONAL SPEED (Ω) ~ TANGENTIAL SPEED (v) (v ~ r x Ω) TANGENTIAL ACCELERATION -WHEN TANGENTIAL SPEED UNDERGOES CHANGE -ANY CHANGE IN SPEED INDICATES CHANGE IN DIRECTION OF MOTION ROTATIONAL INERTIA -AN OBJECT ROTATING ON AN AXIS TENDS TO REMAIN ROTATING ABOUT SAME AXIS UNLESS INTERFERED WITH BY AN EXTERNAL INFLUENCE. -DEPENDS ON MASS (BIGGER MASS HARDER TO STOP SPINNING) -DEPENDS ON DISTRIBUTION OF MASS ALONG AXIS OF ROTATION (GREATER DISTANCE BETWEEN MASS CONCENTRATION AND AXIS, GREATER ROTATIONAL INERTIA) INERTIA FORMULA SIMPLE PENDULUM I = mr² INERTIA FORMULA HOOP NORMAL AXIS I = mr² INERTIA FORMULA HOOP DIAMETER I = ½mr² INERTIA FORMULA STICK ABOUT END I = ⅓mL INERTIA FORMULA STICK ABOUT CENTER OF GRAVITY I = 1/12 mL² INERTIA FORMULA SOLID CYLINDER I = ½mr² INERTIA FORMULA SOLID SPHERE ABOUT CENTER OF GRAVITY I = 2/5 mr² TORQUE -ROTATIONAL COUNTERPART OF FORCE -TWISTS OR CHANGES THE STATE OF ROTATION -MAKES A STATIONARY OBJECT ROTATE TORQUE TORQUE = LEVER ARM X FORCE CENTER OF MASS (CM) AVG POSITION OF ALL MASS THAT MAKES UP THE OBJECT. CENTER OF GRAVITY (CG) AVG POSITION OF WEIGHT DISTRIBUTION (SAME AS CM) CM OF TRIANGLE CM = H/3 (H IS HEIGHT) CM OF CONE CM = H/4 (H IS THE HEIGHT) STABILITY -LINE STRAIGHT DOWN FROM CENTER OF GRAVITY OF OBJECT. -IF LINE FALLS INSIDE BASE IT WILL BALANCE -FALLS OUTSIDE BASE, IT WILL FALL EQUILIBRIUM CENTER OF GRAVITY FALLS WITHIN BASE CENTRIPETAL FORCE (CP.F.) -FORCE TOWARD A FIXED CENTER -DEPENDS ON: MASS(m) TANGENTIAL SPEED (v) RADIUS OF CURVATURE (r) CENTRIPETAL FORCE FORMULA CP.F. = mv² ÷ r CENTRIFUGAL FORCE (CF.F.) -FORCE AWAY FROM FIXED CENTER LOCATING CENTER OF GRAVITY OF UNIFORM OBJECT MIDPOINT LOCATING CENTER OF GRAVITY OF FREELY SUSPENDED OBJECT DIRECTLY BENEATH OR AT POINT OF SUSPENSION LOCATING CENTER OF GRAVITY OF HOLLOW OBJECT GEOMETRICAL CENTER (EVEN THOUGH NO MASS EXISTS) CENTRIFUGAL FORCE ROTATING FRAME -FEELS LIKE GRAVITY, BUT NOT GRAVITY -NOTHING PRODUCES IT, IT IS RESULT OF ROTATION SIMULATED GRAVITY -CAUSED BY BY CENTRIFUGAL FORCE -STRUCTURES OF SMALL DIAMETER WILL HAVE TO SPIN MORE RAPIDLY LINEAR MOMENTUM -INERTIA OF MOTION -MOMENTUM (mv) ANGULAR MOMENTUM -INERTIA OF ROTATION -VECTOR QUANTITY -DIRECTION + MAGNITUDE ANGULAR MOMENTUM FORMULA ROTATIONAL INERTIA x ROTATIONAL VELOCITY ANGULAR MOMENTUM FORMULA OF SMALL RADIAL DISTANCE COMPARED TO AXIS OF ROTATION -EX. PLANET ORBITING SUN -ANGULAR p = MAGNITUDE OF LINEAR p (mv) x RADIAL DISTANCE (r) ANGULAR p = mvr ROTATIONAL VERSION OF NEWTONS FIRST LAW -AN OBJECT OR SYSTEM OF OBJECTS WILL MAINTAIN ITS ANGULAR p UNLESS ACTED UPON BY AN EXTERNAL NET TORQUE CONSERVATION OF ANGULAR MOMENTUM DEFINITION -IF NO NET TORQUE ACTS ON A ROTATING SYSTEM, THE ANGULAR MOMENTUM OF THAT SYSTEM REMAINS CONSTANT. -WITH NO EXTERNAL TORQUE, THE PRODUCT OF ROTATIONAL INERTIA AND ROTATIONAL VELOCITY AT ONE TIME WILL BE THE SAME AS AT ANY OTHER TIME CONSERVATION OF ANGULAR MOMENTUM SIZE VS. SPEED -WHENEVER A ROTATING BODY CONTRACTS, ITS ROTATIONAL SPEED INCREASES -WHENEVER A ROTATING BODY EXPANDS ITS ROTATIONAL SPEED DECREASES EXAMPLE OF CONSERVATION OF ANGULAR MOMENTUM -MAN LOW FRICTION TURNTABLE -HOLDS ARMS AND WEIGHT OUT, SPINS SLOWLY -BRINGS WEIGHTS IN, SPINS FAST -Iw = iW LEVER ARM FORCE -DISTANCE WHICH PROVIDES LEVERAGE FOR TORQUE -SHORTEST DISTANCE BETWEEN APPLIED FORCE AND ROTATATIONAL AXIS -FORCE IS PERPINDICULAR TO LEVER ARM FORCE