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PHYSICS TEST 4

UNIFORM CIRCULAR MOTION

2 r
v
T
T = min/revolutions = 1/(rev/min)
Direction of velocity is tangent to the circle

ACCELERATION

2

v
ac 
r

CENTRIPITAL FORCE

2

v
Fc  mac  m
r

BANKED CURVE

2

v
tan  
rg

SATELITES IN CIRCULAR ORBITS

2 r
T
GM E
32

2

mM E
v
Fc  G 2  m
r
r

GM E
v
r

GM E 2 r
v

r
T

GRAVITATIONAL CENTRIPITAL FORCE

Fcgrav 

T

2

R

3

ARTIFICIAL GRAVITY

2

v
Fc  m  mg
r

VERTICAL CIRCULAR MOTION

ANGULAR DISPLACEMENT
Radians (rad)

    o

Arc length s
 (in radians) 

Radius
r

AVERAGE ANGULAR VELOCITY

  o




t  to
t
Radiens/second

AVERAGE ANGULAR ACCELERATION



  o
t  to



t

ROTATIONAL KINEMATICS EQUATIONS
velocity
time

displacement

acceleration

TANGENTIAL SPEED

vT  r ( in rad/s)

TANGENTIAL ACCELERATION

aT  r

( in rad/s )
2

CENTRIPITAL ACCELERATION

r   r 2
v
ac 

r
r
2
T

2

( in rad/s)

TORQUE
• The type of force that causes angular acceleration

  F
N*m

EQUILIBRIUM OF AN EQUAL BODY

NEWTON’S 2ND LAW FOR ROTATIONAL MOTION
ABOUT A FIXED AXIS

  mr 
2

I  mr
Moment of Inertia

2

ROTATIONAL WORK

W  
Work = force * displacement

ROTATIONAL KINETIC ENERGY

KER  I
1
2

2

CONSERVATION OF ENERGY

1
2

mv  I  mghf  mv  I  mghi
2
f

1
2

2
f

1
2

2
i

1
2

2
i

ANGULAR MOMENTUM

L  I
kg·m2/s

CONSERVATION OF ANGULAR MOMENTUM

vA
2 vP
mr
 mrP
rA
rP
2
A



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