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