AP Physics B
Review: Circular Motion


Newton's Three Laws Law of Inertia
Law of Acceleration
Law of Action-Reaction
centripetal force Fc = mac
centripetal acceleration ac = v / r
tangential velocity v = 2pr / T
v = r
w where w = 2pf  ( frequency in hz)
centripetal acceleration ac = 4p r / T
relationship between
period (T) and frequency (f)
f = 1 / T
centripetal acceleration ac = 4p r f
friction f = m N
conical pendulums T cos q = mg
T sin
q = Fc = m v / r
source of centripetal force
for a banked curve
when traveling at critical speed
Fc = N sin q
[remember that N cos q = mg]
critical speed for a banked curve tan q = v / rg
universal gravitation F = G M 1 M 2 / r
universal gravitation constant 6.67 x 10-11 N m / kg
Kepler's Third Law T / R = 4p / G Mcentral body
a unique constant for every satellite system
gravitational field strength g = G Mcentral body / r
where r = Rcentral body + h
Kepler's Second Law vARA = vPRP
a satellite's tangential velocity and orbital radius
are inversely proportional
critical velocity at the top of a vertical circle
to achieve apparent weightlessness
v = SQRT (rg)
apparent weight at the bottom of a vertical circle N = mg + m v / r
Conservation of Energy S(PE + KE)before = S(PE + KE)after
PE = mgh
KE = mv
height of a pendulum h = L - L cos q
kinematics equations s = vo t + a t
vf = vo + 2as
vf = vo + at
s = ( vo + vf ) t
range of a projectile R = vH t
period of a pendulum T = 2p( L / g )
tension in pendulum at angle a take components of weight
T - mg cos a = m v / r
mg sin a = matangential

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