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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